Measurement of Small Angle anti-Proton - Proton and Proton Proton Elastic Scattering at the CERN Intersecting Storage Rings

Amos, Norman A. ; Block, M.M. ; Bobbink, G.J. ; et al.
Nucl.Phys.B 262 (1985) 689-714, 1985.
Inspire Record 214689 DOI 10.17182/hepdata.33711

Antiproton-proton and proton-proton small-angle elastic scattering was measured for centre-of-mass energies s =30.6, 52.8 and 62.3 GeV at the CERN Intersectung Storage Rings. In addition, proton-proton elastic scattering was measured at s =23.5 GeV . Using the optical theorem, total cross sections are obtained with an accuracy of about 0.5% for proton-proton scattering and about 1% for antiproton-proton scattering. The measurement of the interference of the Coulomb scattering and the hadronic scattering permits a determination of the ratio of the real-to-imaginary part of the forward hadronic scattering amplitude. Also presented are measurements of the hadronic slope parameter.

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Comparison of Small Angle p$ \Bar{$p$}$ and p p Elastic Scattering at the {CERN} Intersecting Storage Rings

Amos, Norman A. ; Block, M.M. ; Bobbink, G.J. ; et al.
Phys.Lett.B 128 (1983) 343-348, 1983.
Inspire Record 190335 DOI 10.17182/hepdata.30667

Antiproton-proton and proton-proton small-angle elastic scattering have been measured for centre-of-mass energies √ s = 30.7 and 62.5 GeV at the CERN Intersecting Storage Rings (ISR). Antiproton-proton and proton-proton total cross sections are obtained using the optical theorem. The measurement of the Coulomb scattering and its interference with the nuclear scattering allows a determination of the ratio of the real-to-imaginary part of the forward nuclear scattering amplitude. Also presented are measurements for the nuclear slope parameter at √ s = 62.5 GeV. Our new results reinforce the conclusions drawn recently from our measurements at √ s = 52.8 GeV. In particular, the pp̄ total cross section is rising at ISR energies and should continue to rise well beyond these energies.

3 data tables match query

DATA REQUESTED FROM AUTHORS.

RESULTS OF FITS.

No description provided.


Comparison of p$ \Bar{$p$}$ and p p Elastic Scattering at $S^{(1/2)}=52$.8-{GeV}

Amos, Norman A. ; Block, M. ; Bobbink, G. ; et al.
Phys.Lett.B 120 (1983) 460-464, 1983.
Inspire Record 181387 DOI 10.17182/hepdata.30816

Proton-antiproton and proton-proton elastic scattering have been measured in the four-momentum transfer range 0.001⩽| t |⩽0.06 GeV 2 for center-of-mass energy 52.8 GeV at the CERN Intersecting Storage Rings (ISR). Using the known pp total cross section, a simultaneous fit to the pp̄ and pp differential cross sections yields the pp̄ total cross section; in addition, we obtain the ratio of the real-to-imaginary part of the forward nuclear-scattering amplitude and the nuclear-slope parameter for both pp̄ and pp. Our results show conclusively that the pp̄ total cross section is rising at ISR energies and lend support to conventional theories in which the difference between the pp̄ and pp total cross section vanishes at very high energy.

4 data tables match query

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Measurement of $\bar{p}p$ Elastic Scattering at $\sqrt{s}=52.8$-{GeV} at the {CERN} Intersecting Storage Rings

Favart, D. ; Lipnik, P. ; Macq, P. ; et al.
Phys.Rev.Lett. 47 (1981) 1191, 1981.
Inspire Record 167714 DOI 10.17182/hepdata.3302

The small-angle elastic scattering for pp at s=23.5, 30.7, and 52.8 GeV and for p¯p at s=52.8 GeV are measured. The data are normalized on Coulomb scattering. Using the optical theorem and the best estimate of the real part of the forward scattering amplitude, ρ(pp¯)=0.1, we obtain σtot(p¯p)=44.1±2.9 mb for the total cross section and b(p¯p)=13.6±2.2 GeV−2 for the nuclear slope parameter. This supports the dispersion relation prediction that σtot(p¯p) will start to rise above Elab≈200 GeV.

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Measurement of Proton Proton Elastic Scattering at 6-GeV/c in Polarized Initial and Final Spin States

Borghini, M. ; De Boer, W. ; Fernow, Richard C. ; et al.
Phys.Rev.D 17 (1978) 24-41, 1978.
Inspire Record 134418 DOI 10.17182/hepdata.4518

The differential elastic p−p scattering cross section was measured at 6 GeV/c at the Argonne Zero Gradient Synchrotron in the range P⊥2=0.60−1.0 (GeV/c)2 using a 65% polarized target and a 75% polarized proton beam of intensity 3 × 109 protons/pulse. The polarization of the recoil proton was simultaneously measured with a well calibrated carbon-target polarimeter. All three polarizations were measured perpendicular to the horizontal scattering plane. Our results indicate that P and T invariance are both obeyed to good precision even at our largest P⊥2. Parity invariance implies that the eight single-flip transversity cross sections are zero, so our data gives the magnitudes of the eight remaining pure spin cross sections where all spins are measured. We find that the four double-flip transversity cross sections are nonzero.

4 data tables match query

No description provided.

THE FIVE INDEPENDENT PURE FOUR-SPIN CROSS SECTIONS AS DERIVED FROM THE EIGHT MEASURED THREE-SPIN CROSS SECTIONS ASSUMING P AND T INVARIANCE. THE ABSOLUTE DIFFERENTIAL CROSS SECTION VALUES ASSUME THAT THE SPIN-AVERAGED D(SIG)/DT IS 2.25, 1.17, 0.365 AND 0.167 MB/GEV**2 FOR EACH VALUE OF PT**2 RESPECTIVELY.

WOLFENSTEIN PARAMETERS. POL(NAME=A) IS (N000) OR (0N00), THE ANALYZING POWER AVERAGED OVER TARGET OR BEAM POLARIZATION. POL(NAME=P) IS (00N0), THE POLARIZATION PARAMETER. TIME-REVERSAL INVARIANCE REQUIRES THAT P = A. POL.POL(NAME=CNN) IS (NN00) USING T-INVARIANCE. POL.POL(NAME=DNN) IS (0N0N). POL.POL(NAME=KNN) IS (N00N). POL.POL(NAME=C3N) IS A COMPONENT OF THE TRIPLE SPIN CORRELATION TENSOR. PARITY INVARIANCE REQUIRES THAT C3N = P.

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Spin Dependence of High p-Transverse**2 Elastic p p Scattering

Crabb, D.G. ; Fernow, Richard C. ; Hansen, P.H. ; et al.
Phys.Rev.Lett. 41 (1978) 1257, 1978.
Inspire Record 7117 DOI 10.17182/hepdata.20867

We measured dσdt for p↑+p↑→p+p from P⊥2=4.50 to 5.09 (GeV/c)2 at 11.75 GeV/c. We used a 59%-polarized proton beam and a 71%-polarized proton target with both spins oriented perpendicular to the scattering plane. In these large-P⊥2 hard-scattering events, spin effects are very large and the ratio (dσdt)↑↑:(dσdt)↑↓ grows rapidly with increasing P⊥2, reaching a value of 4 at 90° (c.m.). Thus, hard elastic scattering, which is presumably due to the direct scattering of the protons' constituents, may only occur when the two incident protons' spins are parallel.

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THE ERRORS INCLUDE STATISTICAL AND SYSTEMATIC ERRORS ADDED IN QUADRATURE. THE PARALLEL/ANTIPARALLEL SPIN CROSS SECTION RATIO IS (1+CNN)/(1-CNN).


Elastic scattering and single-pion production in proton proton interactions at 6.92 bev/c

Alexander, G. ; Carmel, Z. ; Eisenberg, Y. ; et al.
Phys.Rev. 173 (1968) 1322-1329, 1968.
Inspire Record 55956 DOI 10.17182/hepdata.5540

Elastic scattering and single-pion production in pp collisions at 6.92 BeVc were studied in the BNL 80-in. hydrogen bubble chamber. Partial cross sections for the different final states are given. The reaction pp→nN1238*(pπ+) with σ=1.9±0.3 mb is analyzed and is in agreement with the modified one-pion-exchange model. Single-pion production can be explained as due mainly to two channels: (a) pp→N1238*(pπ+)n, and (b) pp→p(nπ+) or pp→p(pπ0), where the (nπ+) and (pπ0) pairs are in an I=12 state.

3 data tables match query

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Measurement of proton-proton elastic scattering and total cross-section at S**(1/2) = 7-TeV

The TOTEM collaboration Antchev, G. ; Aspell, P. ; Atanassov, I. ; et al.
EPL 101 (2013) 21002, 2013.
Inspire Record 1220862 DOI 10.17182/hepdata.66456

At the LHC energy of $\sqrt s = 7\,{\mathrm { TeV}}$ , under various beam and background conditions, luminosities, and Roman Pot positions, TOTEM has measured the differential cross-section for proton-proton elastic scattering as a function of the four-momentum transfer squared t. The results of the different analyses are in excellent agreement demonstrating no sizeable dependence on the beam conditions. Due to the very close approach of the Roman Pot detectors to the beam center (≈5σ(beam)) in a dedicated run with β* = 90 m, |t|-values down to 5·10(−)(3) GeV(2) were reached. The exponential slope of the differential elastic cross-section in this newly explored |t|-region remained unchanged and thus an exponential fit with only one constant B = (19.9 ± 0.3) GeV(−)(2) over the large |t|-range from 0.005 to 0.2 GeV(2) describes the differential distribution well. The high precision of the measurement and the large fit range lead to an error on the slope parameter B which is remarkably small compared to previous experiments. It allows a precise extrapolation over the non-visible cross-section (only 9%) to t = 0. With the luminosity from CMS, the elastic cross-section was determined to be (25.4 ± 1.1) mb, and using in addition the optical theorem, the total pp cross-section was derived to be (98.6 ± 2.2) mb. For model comparisons the t-distributions are tabulated including the large |t|-range of the previous measurement (TOTEM Collaboration (Antchev G. et al), EPL, 95 (2011) 41001).

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The measured differential elastic cross section.

The measured differential elastic cross section in the high |T| region. where it originally appeared as a plot, but was not tabulated.

The fitted slope parameter for the elastic cross section fitted over 4 |T| ranges.

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A bubble chamber study of proton-proton interactions at 4 GeV/c Part I—Elastic scattering, single-pion and deuteron production

Ooletti, S. ; Kidd, J. ; Mandelli, L. ; et al.
Nuovo Cim.A 49 (1967) 479-498, 1967.
Inspire Record 1185329 DOI 10.17182/hepdata.981

Elastic scattering, single-pion and deuteron production have been investigated. The cross-section for elastic scattering is σelastic = (13.5±0.3) mb. The angular distribution has been fitted to dσ/d|t|=(dσ/d|t|)0 e −bt in the region of low values oft. The best fit givesb=(6.7±0.5) (GeV/c)−2 and (dσ/d|t|)0=(91±5) mb(GeV/c)−2. The cross-sections for ppπ0, pnπ+ reactions are respectively (2.6±0.3) mb and (9.7±0.4) mb. These reactions are dominated by the (3/2, 3/2) nucleonpion isobar production and by forward backward collimation of the nucleons. The production rates for the isobars ++1238 , +1238 , +1500 have been estimated, taking into account the experimental peripheral behaviour of the interaction. In the pnπ+ reaction they are (50±2)%; (10±3)%; (4±3)%. In the ppπ+ reaction the production of ++1238 is estimated to be (45±10)%. The dπ+ and dπ+π+π- reaction cross-sections are respectively (0.03±0.01) mb, and (0.04±0.01) mb.

2 data tables match query

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Cross-Sections and Charged Particle Multiplicities at 102-GeV/c and 405-GeV/c.

Bromberg, C. ; Chaney, D. ; Cohen, Daniel H. ; et al.
Phys.Rev.Lett. 31 (1973) 1563-1566, 1973.
Inspire Record 81962 DOI 10.17182/hepdata.21360

We have measured the total inelastic cross section (σinel) and charged-particle multiplicities obtained in pp collisions at 405 GeV/c. The data are from a preliminary 12 000-picture bubble-chamber exposure. We find σinel=32.8±1.0 mb; the low moments of the multiplicity distribution for negative particles are 〈n−〉=3.50±0.07, D−=2.37±0.05, f2−=2.1±0.2, and f3−=0.1±0.9. We also present updated results at 102 GeV/c.

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SUPERCEDES PRELIMINARY RESULTS IN J. W. CHAPMAN ET AL., PRL 29, 1686 (1972).

No description provided.

FIT TO ELASTIC DIFFERENTIAL CROSS SECTION FOR 0.05 < -T < 0.7 GEV**2.


$pp$ Interactions at 300-GeV/c: Measurement of the Charged Multiplicity, Total and Elastic Cross-Sections

Firestone, A. ; Davidson, V. ; Lam, D. ; et al.
Phys.Rev.D 10 (1974) 2080, 1974.
Inspire Record 1242 DOI 10.17182/hepdata.25012

In a 35 000-picture exposure of the 30-in. hydrogen bubble chamber to a 300-GeV/c proton beam at the Fermi National Accelerator Laboratory, 10054 interactions have been observed. The measured total cross section is $40.68 \pm 0.55$ mb, the elastic cross section is $7.89 \pm 0.52$ mb, and the average charged-particle multiplicity for inelastic events is $8.S0 \pm 0.12$.

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QUOTED ERRORS INCLUDE EFFECTS OF CORRECTIONS.

No description provided.


Observation of small angle proton proton elastic scattering at 30 gev and 45 gev center-of-mass energies

Holder, M. ; Radermacher, E. ; Staude, A. ; et al.
Phys.Lett.B 35 (1971) 355-360, 1971.
Inspire Record 69228 DOI 10.17182/hepdata.5781

Small angle elastic scattering events have been observed at the CERN Intersecting Storage Rings. Directions of both particles as well as the collision vertex are reconstructed with the help of four sets of spark chambers, two for each of the two arms. The elastic nature of the events is demonstrated by a collinearity requirement. We find values for the (diffraction) slope parameter in disagreement with the simple linear extrapolation of lower energy (Surpukov) data.

3 data tables match query

NUMBER OF EVENTS 87364.

NUMBER OF EVENTS 8305.

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K+ p, K- p AND anti-p p ELASTIC SCATTERING AT 32.1-GeV/c

The French-Soviet & CERN-Soviet collaborations Lewin, C. ; Denegri, D. ; Givernaud, A. ; et al.
SACLAY-DPhPE-79-19, 1979.
Inspire Record 144202 DOI 10.17182/hepdata.43800

None

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THESE DATA ARE TABULATED IN THE RECORD OF THE PUBLISHED VERSION.

FROM QUADRATIC EXPONENTIAL FITS TO D(SIG)/DT FOR -T = 0 TO 1.4 GEV**2. SYSTEMATIC ERRORS INCLUDED.


Multiplicity of Charged Particles in 800-{GeV} $p p$ Interactions

The LEBC-MPS collaboration Ammar, R. ; Aziz, T. ; Banerjee, S. ; et al.
Phys.Lett.B 178 (1986) 124-128, 1986.
Inspire Record 231133 DOI 10.17182/hepdata.6558

Results are reported concerning the charged-particle multiplicity distribution obtained in an exposure of the high-resolution hydrogen bubble chamber LEBC to a beam of 800 GeV protons at the Fermilab MPS. This is the first time that such data have been available at this energy. The distribution of the number n ch of charged particles produced in inelastic interactions obeys KNO-scaling. The average multiplicity is 〈 n ch 〉 = 10.26±0.15. For n ch ⩾8 the data can be well fitted to a negative binomial. The difference between the overall experimental multiplicity distribution and that resulting from the latter fit is in agreement with the contribution expected from diffractive processes.

1 data table match query

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Measurement of the Proton Proton Total Cross-Section and Small Angle Elastic Scattering at ISR Energies

Baksay, L. ; Baum, L. ; Böhm, A. ; et al.
Nucl.Phys.B 141 (1978) 1-28, 1978.
Inspire Record 136189 DOI 10.17182/hepdata.34829

Measurements of the total cross section have been performed at the ISR with c.m. energies between 23.5 GeV and 62.5 GeV. Two independent experimental methods have been applied, a measurement of total interaction rate and of small angle elastic scattering. Both experiments give consistent results showing that the total cross section increases by (11.8±1.5) % over the ISR energy range. This experiment has also measured the slope of the forward diffraction peak in elastic scattering at small momentum transfer. The elastic cross section shows the same relative rise as the total cross section, and the ratio λ of elastic to total cross section approaches a constant value of λ =0.178±0.003.

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TOTAL ELASTIC CROSS SECTION FROM INTEGRATING THE PARAMETRIZED DIFFERENTIAL CROSS SECTION, USING ALL OPTICAL POINT DATA AND AT LARGE -T RESULTS OF OTHER EXPERIMENTS.

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Pi+- p elastic scattering and pi+ p ---> k+ sigma+ at 5.0 gev/c near -t=3.0(gev/c)-squared

Akerlof, C.W. ; Caldwell, P.K. ; Kalbaci, P. ; et al.
Phys.Rev.Lett. 27 (1971) 219-222, 1971.
Inspire Record 68949 DOI 10.17182/hepdata.21476

We have measured the reactions π±p→π±p and π+p→K+Σ+ at 5.0 GeV/c in the region 2.2<−t<3.5 (GeV/c)2. We find the minimum cross section of the dip at −t=2.8 (GeV/c)2 in π+p elastic scattering to be 0.16 ± 0.05 μb/GeV2. The π−p differential cross section exhibits similar structure, while the π+p→K+Σ+ channel shows a steady decline in cross section as |t| increases. The polarization of the Σ+ remains large and positive to at least −t=2.8 (GeV/c)2.

2 data tables match query

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Precise Comparison of Anti-proton - Proton and Proton Proton Forward Elastic Scattering at $\sqrt{s}=24$.3-{GeV}

The UA6 collaboration Breedon, R.E. ; Chapin, T.J. ; Cool, R.L. ; et al.
Phys.Lett.B 216 (1989) 459-465, 1989.
Inspire Record 267044 DOI 10.17182/hepdata.29854

We report results from a measurement of antiproton-proton and proton-proton small-angle elastic scattering at √ s = 24.3 GeV in the range 0.001 ⩽ | t | ⩽ 0.06 (GeV/ c ) 2 . The measurement was performed at the CERN p p Collider by using silicon detectors to observe protons recoiling from a hydrogen cluster-jet target intercepting the stored p and p beams. Fits to the measured differential cross sections yield the ratio of the real to the imaginary part of the forward nuclear scattering amplitude ρ and the nuclear slope parameter b for both p p and pp. We find that the difference Δρ = ρ ( p p ) − ρ( pp ) = 0.031 ± 0.010 agrees with conventional fits and disagrees with the “odderon” fit designed to accommodate the recent UA4 measurement of ρ( p p) at 546 GeV.

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Data requested from authors.

No description provided.

Nuclear slopes fixed to world average.


The Energy dependence of the proton proton total cross-section for center-of-mass energies between 23 and 53 GeV

Amaldi, U. ; Biancastelli, R. ; Bosio, C. ; et al.
Phys.Lett.B 44 (1973) 112-118, 1973.
Inspire Record 83729 DOI 10.17182/hepdata.28110

Measurements of proton-proton elastic scattering at angles around 6 mrad have been made at centre-of-mass energies of 23, 31, 45 and 53 GeV using the CERN Intersecting Storage Rings. The absolute scale of the cross-section was established by determination of the effective density of the colliding beans in their overlap region. Proton-proton total cross sections were deduced by extrapolation of the elastic differential cross-section to the forward direction and by application of the optical theorem. The results indicate that over the energy range studied the proton-proton total cross-section increases from about 39 to about 43 mb.

2 data tables match query

No description provided.

NEW VALUES OF ELASTIC SLOPE USING APPARATUS DESCRIBED IN U. AMALDI ET AL., PL 43B, 231 (1973).


MEASUREMENT OF THE CHARGED PARTICLE MULTIPLICITY IN P P COLLISIONS AT 102-GEV/C.

Chapman, J.W. ; Green, N. ; Roe, B.P. ; et al.
Phys.Rev.Lett. 29 (1972) 1686-1688, 1972.
Inspire Record 73777 DOI 10.17182/hepdata.21427

We present preliminary results from a sample of ∼ 1200 events obtained from an exposure of the 30-in. Argonne National Laboratory—National Accelerator Laboratory liquid-hydrogen bubble chamber to 102-GeVc protons. The elastic and total inelastic cross sections are respectively 6.9 ± 1.0 and 32.8 ± 1.1 mb. The parameters of the multiplicity distribution for negative tracks are 〈n−〉=2.17±0.07, D−2=〈n−2〉−〈n−〉2=2.56±0.12, and f2−=D−2−〈n−〉=0.39±0.10.

1 data table match query

No description provided.


Measurements of the proton proton total cross-sections by means of Coulomb scattering at the Cern intersecting storage rings

Amaldi, U. ; Biancastelli, R. ; Bosio, C. ; et al.
Phys.Lett.B 43 (1973) 231-236, 1973.
Inspire Record 74360 DOI 10.17182/hepdata.28156

Proton-proton elastic scattering has been measured at the CERN Intersecting Storage Rings in the four-momentum transfer range 0.001 ⩽… t …⩽ 0.015 GeV 2 at centre-of-mass energies of 23 and 31 GeV. The detection of Coulomb scattering and of its interference with nuclear scattering leads to the determination of the real part of the nuclear amplitude and of the total proton-proton cross section by the optical theorem.

1 data table match query

No description provided.


$\pi^- p$ at 205 GeV/c: Multiplicities of Charged and Neutral Particles Production of Neutral Particles

Ljung, D. ; Bogert, D. ; Hanft, R. ; et al.
Phys.Rev.D 15 (1977) 3163, 1977.
Inspire Record 111665 DOI 10.17182/hepdata.24616

A study of 205-GeV/c π−p interactions has been made with a 48 800-picture exposure in the bare Fermilab 30-inch hydrogen bubble chamber. The average number of charged particles produced per inelastic interaction is 7.99±0.06. The elastic cross section is 3.18±0.13 mb and the total cross section is 24.19±0.44 mb. The inclusive cross sections for neutral-particle production are: σ(γ)=171.3±15.3 mb, σ(KS0)=3.64±0.61 mb (x<0.3), σ(Λ)=1.71±0.34 mb (x<0.3), and σ(Λ¯)=0.59±0.23 mb (x<0.1). The average number of π0's produced per inelastic collision is consistent with a linear rise with the number of charged particles, and about equal to the number of produced π− or π+. The average number of K0's, Λ's, and Λ¯'s is consistent with very little dependence on the number of charged particles. General characteristics of neutral-particle production are presented and compared with other experiments. For each topology the produced neutral energy is ∼13 of the incident energy.

2 data tables match query

THE ERRORS INCLUDE THOSE DUE TO VARIOUS CORRECTIONS.

No description provided.


Proton proton elastic scattering and nucleon resonance production at high-energies

Allaby, J.V. ; Diddens, A.N. ; Dobinson, R.W. ; et al.
Nucl.Phys.B 52 (1973) 316-382, 1973.
Inspire Record 73454 DOI 10.17182/hepdata.32650

Angular distributions of proton-proton elastic scattering have been measured for incident beam momenta of 10.0, 12.0, 14.2 and 24.0 GeV/ c over a range of lab scattering angles from 12 to 152 mrad. This is equivalent to a range of four-momentum transfer squared from about 0.1 to 6.7 GeV 2 at the highest momentum. Nucleon resonance production in the two-body reaction p + p → p + X has been studied at 24.0 GeV/ c incident momentum from 13.5 to 112 mrad by measuring the proton momentum spectra from the elastic peak down to a momentum corresponding to a missing mass of about 2.6 GeV. The new data are compared with previous results and theoretical models.

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ESTIMATED 8 PCT RANDOM ERROR.

ESTIMATED 8 PCT RANDOM ERROR.

ESTIMATED 8 PCT RANDOM ERROR.

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Determination of the proton proton elastic cross-section at 30-GeV center-of-mass energy

Holder, M. ; Radermacher, E. ; Staude, A. ; et al.
Phys.Lett.B 35 (1971) 361-364, 1971.
Inspire Record 69227 DOI 10.17182/hepdata.28484

The absolute luminosity of the CERN Intersecting Storage Rings has been determined by the Van der Meer method. Combining the measurement with small angle proton-proton elastic events, we find σ elastic = (6.8±0.6)mb.

1 data table match query

No description provided.


A Study of $K^+ p$ Elastic Scattering and the Reaction $K^+ p \to K^+ p \pi^+ \pi^-$ at 70-{GeV}/$c$

The Brussels-Genoa-Mons-Nijmegen-Serpukhov-CERN collaboration Barth, M. ; Wolf, A.E. De ; Johnson, D.P. ; et al.
Z.Phys.C 16 (1982) 111, 1982.
Inspire Record 181354 DOI 10.17182/hepdata.41205

Results are presented onK+p elastic scattering and on the reactionK+p→K+pπ+π− at 70 GeV/c. For the

3 data tables match query

INTEGRATION OVER RANGE OF ABS(T) FROM 0 TO 1 GEV.

ELASTIC DIFFERENTIAL CROSS SECTION AT T=0 DERIVED FROM THE OPTICAL THEOREM.


Version 2
Measurement of the total cross section and $\rho$-parameter from elastic scattering in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Braden Keim ; Abbott, D.C. ; et al.
Eur.Phys.J.C 83 (2023) 441, 2023.
Inspire Record 2122408 DOI 10.17182/hepdata.128017

In a special run of the LHC with $\beta^\star = 2.5~$km, proton-proton elastic-scattering events were recorded at $\sqrt{s} = 13~$TeV with an integrated luminosity of $340~\mu \textrm{b}^{-1}$ using the ALFA subdetector of ATLAS in 2016. The elastic cross section was measured differentially in the Mandelstam $t$ variable in the range from $-t = 2.5 \cdot 10^{-4}~$GeV$^{2}$ to $-t = 0.46~$GeV$^{2}$ using 6.9 million elastic-scattering candidates. This paper presents measurements of the total cross section $\sigma_{\textrm{tot}}$, parameters of the nuclear slope, and the $\rho$-parameter defined as the ratio of the real part to the imaginary part of the elastic-scattering amplitude in the limit $t \rightarrow 0$. These parameters are determined from a fit to the differential elastic cross section using the optical theorem and different parameterizations of the $t$-dependence. The results for $\sigma_{\textrm{tot}}$ and $\rho$ are \begin{equation*} \sigma_{\textrm{tot}}(pp\rightarrow X) = \mbox{104.7} \pm 1.1 \; \mbox{mb} , \; \; \; \rho = \mbox{0.098} \pm 0.011 . \end{equation*} The uncertainty in $\sigma_{\textrm{tot}}$ is dominated by the luminosity measurement, and in $\rho$ by imperfect knowledge of the detector alignment and by modelling of the nuclear amplitude.

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The measured total cross section. The systematic uncertainty includes experimental and theoretical uncerainties.

The measured total cross section. The systematic uncertainty includes experimental and theoretical uncerainties.

The rho-parameter, i.e. the ratio of the real to imaginary part of the elastic scattering amplitude extrapolated to t=0. The systematic uncertainty includes experimental and theoretical uncerainties.

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Nonstrange Resonance Production in pi+ p Collisions at 2.35, 2.62, and 2.90 GeV/c

Alff-Steinberger, C. ; Berley, D. ;
Phys.Rev. 145 (1966) 1072, 1966.
Inspire Record 50938 DOI 10.17182/hepdata.26629

In an exposure of the Brookhaven National Laboratory 20-in. hydrogen bubble chamber to a separated π+ beam at π+ momenta of 2.35 BeV/c (center-of-mass energy E*=2.30 BeV), 2.62 BeV/c (E*=2.41 BeV), and 2.90 BeV/c (E*=2.52 BeV), we have observed production of the ω0, ρ0, and η0 mesons. The production of the ω0, ρ0, and η0 is often accompanied by simultaneous production of the N*++. The momentum transfer in ω0 and ρ0 production is characteristic of peripheral collisions and suggests a single-particle exchange for the production mechanism. The decay distributions for the ω0, ρ0, and the ρ+ demonstrate the importance of modifying the single-particle-exchange model to include absorptive effects. An upper limit on the two-π decay of the ω0 is set at 2%. The width of the η0 is found to be less than 10 MeV. Elastic-scattering distributions are presented.

1 data table match query

No description provided.


Measurement of the Reactions K- p --> Sigma+ pi- and pi- p --> p pi- Near the Backward Direction at 3.0-GeV/c and 5.1-GeV/c

Hoffman, E.W. ; Dixon, Roger L. ; Fletcher, J.M. ; et al.
Phys.Rev.Lett. 35 (1975) 138-141, 1975.
Inspire Record 2233 DOI 10.17182/hepdata.21176

We have measured differential cross sections for K−p→Σ+π− and π−p→pπ− at 3.0 and 5.1 GeV/c near the backward direction. At 3.0 GeV/c both have a dip near −u∼0.1 (GeV/c)2. At 5.1 GeV/c, dσdu for π−p→pπ− falls exponentially with slope 3.8±0.1 (GeV/c)−2 whereas dudσ for K−p→Σ+π− exhibits a decreasing slope for larger |u|. These data are discussed in terms of SU(3), and the relative importance of the helicity-flip and -non-flip amplitudes is investigated.

1 data table match query

No description provided.


Cross-sections and Multiplicity Distributions for $K^+ p$ Interactions at 70-{GeV}/$c$

Barth, M. ; De Clercq, C. ; De Wolf, E. ; et al.
Z.Phys.C 2 (1979) 285, 1979.
Inspire Record 141693 DOI 10.17182/hepdata.2107

Cross sections and charged multiplicity distributions forK+p interactions at 70 GeV/c are presented and compared withK+p data at other energies. Comparisons are also made with available π+p,pp, andK−p data.

1 data table match query

No description provided.


K+ p elastic scattering between 432 and 939 mev/c

Adams, C.J. ; Davies, J.D. ; Dowell, J.D. ; et al.
Phys.Rev.D 4 (1971) 2637-2641, 1971.
Inspire Record 74758 DOI 10.17182/hepdata.23177

We present data from a spark-chamber study of K+p elastic scattering between 432 and 939 MeV/c, over the range −0.6<cosθc.m.<+0.7. With measurements at 13 momenta, and between 2000 events at the lowest momentum and 5000 events at the highest momentum, there is a major improvement over previous data. The elastic cross sections deduced from the differential cross sections are almost independent of momentum through the range covered. The data are inconsistent with counter measurements of the total cross section which suggest a sharp shoulder in the cross section at about 700 MeV/c.

14 data tables match query

No description provided.

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Small-Angle pi- p Elastic Scattering Measurements

Apokin, V.D. ; Derevshchikov, A.A. ; Matulenko, Yu.A. ; et al.
Phys.Lett.B 56 (1975) 391-394, 1975.
Inspire Record 90800 DOI 10.17182/hepdata.27866

We have measured small angle elastic pion-proton scattering in 40 and 50 GeV c π − beams at Serpukhov. Analysis of the data in the Coulomb interference region yields a value for the ratio of the real to the imaginary part of the strong amplitude, ϱ (0)=−0.074 ± 0.033 at 40 GeV/ c and ϱ (0)=−0.006 ±0.026 at 50 GeV/ c

2 data tables match query

STATISTICAL ERRORS ONLY.

STATISTICAL ERRORS ONLY.


A measurement of elastic pion-proton scattering at 50 gev

Derevchekov, A.A. ; Golovin, N.I. ; Khodirev, Y.C. ; et al.
Phys.Lett.B 48 (1974) 367-370, 1974.
Inspire Record 95356 DOI 10.17182/hepdata.27998

We have measured elastic pion-proton scattering in a 50 GeV/ c π − beam at the 76 GeV proton synchrotron in Serpukhov. Data are presented for four-momenta transfer squared in the range 0.03 < t < 0.4 (GeV/ c ) 2 .

1 data table match query

SLOPE IS 9.1, +0.2, -0.4 GEV**-2 (INCLUDING SYSTEMATIC ERRORS).


Study of pi- Meson Elastic Scattering by Protons at Small Angles

Apokin, V.D. ; Derevshchikov, A.A ; Matulenko, Yu.A. ; et al.
Yad.Fiz. 21 (1975) 1240-1246, 1975.
Inspire Record 103333 DOI 10.17182/hepdata.19099

None

3 data tables match query

No description provided.

No description provided.

IM(AMP) VIA OPTICAL THEOREM FROM TOTAL CROSS SECTIONS OF L. M. VASILYEV ET AL., PL 36B, 528 (1971).


$\pi^+ − p$ elastic scattering at 820, 900 and 1050 MeV

Barloutaud, R. ; Choquet-Louedec, C. ; Derem, A. ; et al.
Phys.Lett. 1 (1962) 207-208, 1962.
Inspire Record 1400915 DOI 10.17182/hepdata.31235

None

3 data tables match query

No description provided.

No description provided.

No description provided.


K+ p Elastic Scattering from 130-MeV/c to 755-MeV/c

Cameron, W. ; Hirata, A.A. ; Jennings, R. ; et al.
Nucl.Phys.B 78 (1974) 93-109, 1974.
Inspire Record 89485 DOI 10.17182/hepdata.32220

Differential cross sections for the elastic scattering of K + mesons on protons have been measured at 12 lab momenta between 130 and 755 MeV/ c using a hydrogen filled bubble chamber. The results are consistent with a repulsive S-wave nuclear force. A phase-shift analysis yielded the following values of the low-energy parameters: a S 1 2 =(0.309±0.002) fm , r S 1 2 =(0.032±0.02) fm a P 1 2 =(0.021±0.002) fm , a P 3 2 =(0.013±0.001) fm 3

13 data tables match query

No description provided.

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Evidence for Spin Effects in $p p$ Elastic Scattering at 150-{GeV}/$c$

Fidecaro, G. ; Fidecaro, M. ; Nurushev, S. ; et al.
Phys.Lett.B 76 (1978) 369-373, 1978.
Inspire Record 130230 DOI 10.17182/hepdata.27444

Proton elastic scattering off a polarized proton target has been measured at 150 GeV/ c , in the |; t |-range 0.2–3.0 GeV 2 . The results on polarization and differential cross section are presented.

2 data tables match query

No description provided.

No description provided.


K+ P AND K- P ELASTIC SCATTERING AT 32.1-GEV/C. FRANCE-SOVIET UNION AND CERN-SOVIET UNION COLLABORATIONS

Lewin, C. ; Denegri, D. ; Givernaud, A. ; et al.
Z.Phys.C 3 (1979) 275-284, 1979.
Inspire Record 148166 DOI 10.17182/hepdata.15899

None

2 data tables match query

CROSS-OVER IS AT -T = 0.17 +- 0.02 GEV**2. DIVIDE BY 20 TO GET D(SIG)/DT IN MB/GEV**2. CORRECTED FOR LOST EVENTS FOR -T < 0.12 GEV**2.

FROM QUADRATIC EXPONENTIAL FIT TO D(SIG)/DT. BOTH STATISTICAL AND SYSTEMATIC ERRORS INCLUDED IN VALUES.


Measurement of the Differential Cross-section and of the Polarization Parameter in $p p$ Elastic Scattering at 200-{GeV}/$c$

Fidecaro, G. ; Fidecaro, M. ; Lanceri, L. ; et al.
Phys.Lett.B 105 (1981) 309-314, 1981.
Inspire Record 167031 DOI 10.17182/hepdata.31055

Data are given for the polarization parameter and for the differential cross section in pp elastic scattering at 200 GeV/ c , in the range 0.5 ⪕−t ⪕ 4.0 GeV 2 . The polarization changes sign in the dip region, as already observed at 150 GeV/ c .

2 data tables match query

No description provided.

No description provided.


Measurement of the Polarization Parameter in p p Elastic Scattering at 150-{GeV}/c

Fidecaro, G. ; Fidecaro, M. ; Lanceri, L. ; et al.
Nucl.Phys.B 173 (1980) 513-545, 1980.
Inspire Record 152999 DOI 10.17182/hepdata.34464

The polarization parameter in pp elastic scattering at 150 GeV/ c , and in the momentum transfer interval 0.4 ⩽ − t ⩽ 3.0 GeV 2 , has been measured in an MWPC and scintillation counter experiment at the CERN SPS using a polarized proton target. The polarization is decreasing steadily from zero to ≈ − 10% in the range 0.4 < − t < 1.3 GeV 2 ; for higher | t | the data suggests a change of sign. Results are also given for the differential cross section, which exhibits a small dip at − t = (1.46 ± 0.01) GeV.

2 data tables match query

No description provided.

No description provided.


K+ p elastic scattering between 432 and 939 mev/c and phase shift analysis

Adams, C.J. ; Cox, G.F. ; Davies, J.D. ; et al.
Nucl.Phys.B 66 (1973) 36-77, 1973.
Inspire Record 94900 DOI 10.17182/hepdata.32390

Measurements of K + p elastic scattering have been carried out at 13 momenta between 432 MeV/ c and 939 MeV/ c using spark chambers. The data establish unambiguously the constructive interference of the Coulomb and nuclear amplitudes at 432 MeV/ c . The elastic cross section is found to be independent of momentum through the range covered. The phase shifts for S, P, D and F waves are obtained in an energy dependent analysis in which higher waves are held at theoretical values. The initial behaviour ofthe P, D and F amplitudes is quite close to that predicted by the calculation of the peripheral partial waves. Only the P3 and D5 amplitudes become strikingly different with increasing momentum.

14 data tables match query

COULOMB INTERFERENCE EFFECT SEEN AT SMALL ANGLES.

No description provided.

No description provided.

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Polarization in elastic proton proton scattering between 0.86 and 2.74 gev/c

Albrow, M.G. ; Anderson-Almehed, S. ; Bosnjakovic, B. ; et al.
Nucl.Phys.B 23 (1970) 445-465, 1970.
Inspire Record 62367 DOI 10.17182/hepdata.8126

Polarization and differential cross section data for elastic proton-proton scattering between 0.86 and 2.74 GeV/ c are presented. A comparison is made with existing phase-shift analyses.

34 data tables match query

'ALL'.

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Proton-proton elastic scattering at the LHC energy of {\surd} = 7 TeV

The TOTEM collaboration Antchev, G. ; Aspell, P. ; Atanassov, I. ; et al.
EPL 95 (2011) 41001, 2011.
Inspire Record 922651 DOI 10.17182/hepdata.59485

Proton-proton elastic scattering has been measured by the TOTEM experiment at the CERN Large Hadron Collider at {\surd}s = 7 TeV in dedicated runs with the Roman Pot detectors placed as close as seven times the transverse beam size (sbeam) from the outgoing beams. After careful study of the accelerator optics and the detector alignment, |t|, the square of four-momentum transferred in the elastic scattering process, has been determined with an uncertainty of d t = 0.1GeV p|t|. In this letter, first results of the differential cross section are presented covering a |t|-range from 0.36 to 2.5GeV2. The differential cross-section in the range 0.36 < |t| < 0.47 GeV2 is described by an exponential with a slope parameter B = (23.6{\pm}0.5stat {\pm}0.4syst)GeV-2, followed by a significant diffractive minimum at |t| = (0.53{\pm}0.01stat{\pm}0.01syst)GeV2. For |t|-values larger than ~ 1.5GeV2, the cross-section exhibits a power law behaviour with an exponent of -7.8_\pm} 0.3stat{\pm}0.1syst. When compared to predictions based on the different available models, the data show a strong discriminative power despite the small t-range covered.

1 data table match query

The measured differential elastic cross section. Data from the tabulation in CERN-PH-EP-2012-239.


STUDY OF p p INTERACTIONS AT 28.5-BeV/c IN TWO AND FOUR PRONG FINAL STATES

Connolly, P.L. ; Ellis, W.E. ; Hough, Paul V.C. ; et al.
C671122-2, 1967.
Inspire Record 1100201 DOI 10.17182/hepdata.50281

None

1 data table match query

'1'. '2'. '3'.


Measurements of Elastic Proton Proton Scattering at Large Momentum Transfer at the CERN Intersecting Storage Rings

Nagy, E. ; Orr, R.S. ; Schmidt-Parzefall, W. ; et al.
Nucl.Phys.B 150 (1979) 221-267, 1979.
Inspire Record 132162 DOI 10.17182/hepdata.34800

Final results of our measurements of elastic proton-proton scattering at the CERN Intersecting Storage Rings (ISR) for c.m. energies √ s from 23 to 63 GeV and momentum transfers | t | from 0.8 to 10 GeV 2 are presented. Absolute differential cross sections have been obtained using the split-field magnet detector facility (SFM) at the five standard energies for integrated luminosities ranging from 0.3 to 4.9 (pb) −1 . The rising total cross section is found to define a scale for diffractive phenomena near the forward peak, including the position of the diffraction minimum near t = −1.4 GeV 2 . The cross section at the minimum is strongly energy dependent, approximately as the ratio of the real to imaginary part of the scattering amplitude in the forward direction. The phase of the scattering amplitude is found to change sign near the minimum. The component of diffraction scattering beyond the second maximum has a much weaker t -dependence than expected in simple eikonal or constituent pictures connecting this region to the forward peak. A further break in slope is observed near t = −6 GeV 2 . There is no evidence for another minimum for t values up to 10 GeV 2 .

5 data tables match query

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Evidence for a Change of Slope in Large t Elastic Proton Proton Scattering at s**(1/2) = 53-GeV

de Kerret, H. ; Nagy, E. ; Orr, R.S. ; et al.
Phys.Lett.B 68 (1977) 374-376, 1977.
Inspire Record 119741 DOI 10.17182/hepdata.27564

New experimental results are presented on proton-proton elastic scattering in the range of momentum transfer 4 GeV 2 < − t < 10 GeV 2 at the centre-of-mass energy of √ s = 53 GeV. The data have been obtained using the Split-Field Magnet detector at the CERN Intersecting Storage Rings. We observe another change of slope of the differential cross section near − t =6.5 GeV 2 .

1 data table match query

NUMERICAL VALUES SUPPLIED BY K. WINTER.


Large t Elastic Proton Proton Scattering at s**(1/2) = 53-GeV

de Kerret, H. ; Nagy, E. ; Regler, M. ; et al.
Phys.Lett.B 62 (1976) 363-365, 1976.
Inspire Record 108743 DOI 10.17182/hepdata.27660

New experimental results are presented on proton-proton elastic scattering in the range of momentum transfer 0.8GeV 2 < − t < 9 GeV 2 at a centre-of-mass energy of √ s = 53 GeV. The data are obtained sing the Split-Field- Magnet Detector at the CERN Intersecting Storage Rings. The cross section has well-known minimum at − t = (1.34±0.02) GeV 2 but no further minimum or change of slope is observed between 2 and 6.5 GeV 2 .

1 data table match query

Axis error includes +- 0.0/0.0 contribution (?////THE QUOTED ERRORS ARE THE QUADRATIC SUM OF STATISTICAL AND ESTIMATED SYSTEMATIC ERRORS. THE SYSTEMATIC ERRORS ARE NOT INDEPENDENT FROM BIN TO BIN).


Experimental Results on Large Angle Elastic p p Scattering at the CERN ISR

Kwak, N. ; Lohrmann, E. ; Nagy, E. ; et al.
Phys.Lett.B 58 (1975) 233, 1975.
Inspire Record 99556 DOI 10.17182/hepdata.27800

New experimental results are presented on proton-proton elastic scattering at centre-of-mass energies s =23 GeV and s =62 GeV . The data are obtained using the Split Field Magnet detector at the CERN Intersecting Storage Rings. The absolute differential cross-sections show an energy-dependent behaviour. The position of the diffraction minimum changes from t =(−1.44±0.02)GeV 2 at 23 GeV to (−1.26±0.03)GeV 2 at 62 GeV. The cross-section at the second maximum is increasing with s . The connection of these observations with the hypothesis of “geometrical scaling” is discussed.

2 data tables match query

63 K EVENTS.

380 K EVENTS.


$\{pi}-p$ interactions at 1.59 GeV/c

Alitti, J. ; Baton, J.P. ; Berthelot, A. ; et al.
Nuovo Cim. 29 (1963) 515, 1963.
Inspire Record 851185 DOI 10.17182/hepdata.980

Report on the investigation of interactions in π−p collisions at a pion momentum of 1.59 GeV/c, by means of the 50 cm Saclay liquid hydrogen bubble chamber, operating in a magnetic field of 17.5 kG. The results obtained concern essentially the elastic scattering and the inelastic scattering accompanied by the production of either a single pion in π−p→ pπ−π0 and nπ−π+ interactions, or by more than one pion in four-prong events. The observed angular distribution for the elastic scattering in the diffraction region, can be approximated by an exponential law. From the extrapolated value, thus obtained for the forward scattering, one gets σel= (9.65±0.30) mb. Effective mass spectra of π−π0 and π−π+ dipions are given in case of one-pion production. Each of them exhibits the corresponding ρ− or ρ0 resonances in the region of ∼ 29μ2 (μ = mass of the charged pion). The ρ peaks are particularly conspicuous for low momentum transfer (Δ2) events. The ρ0 distribution presents a secondary peak at ∼31μ2 due probably to the ω0 → π−π+ process. The branching ratio (ω0→ π+π−)/(ω0→ π+π− 0) is estimated to be ∼ 7%. The results are fairly well interpreted in the frame of the peripheral interaction according to the one-pion exchange (OPE) model, Up to values of Δ2/μ2∼10. In particular, the ratio ρ−/ρ0 is of the order of 0.5, as predicted by this model. Furthermore, the distribution of the Treiman-Yang angle is compatible with an isotropic one inside the ρ. peak. The distribution of\(\sigma _{\pi ^ + \pi ^ - } \), as calculated by the use of the Chew-Low formula assumed to be valid in the physical region of Δ2, gives a maximum which is appreciably lower than the value of\(12\pi \tilde \lambda ^2 = 120 mb\) expected for a resonant elastic ππ scattering in a J=1 state at the peak of the ρ. However, a correcting factor to the Chew-Low formula, introduced by Selleri, gives a fairly good agreement with the expected value. Another distribution, namely the Δ2 distribution, at least for Δ2 < 10 μ2, agrees quite well with the peripheral character of the interaction involving the ρ resonance. π− angular distributions in the rest frame of the ρ exhibit a different behaviour for the ρ− and for the ρ0. Whereas the first one is symmetrical, as was already reported in a previous paper, the latter shows a clear forward π− asymmetry. The main features of the four-prong results are: 1) the occurrence of the 3/2 3/2 (ρπ+) isobar in π−p → pπ+π−π− events and 2) the possible production of the ω0→ π+π−π0 resonance in π−p→ pπ−π+π−π0 events. No ρ’s were observed in four-prong events.

3 data tables match query

No description provided.

No description provided.

No description provided.


K- p Cross-Sections Between 1.1-GeV/c and 1.4-GeV/c

Griselin, J. ; Givernaud, A. ; Barloutaud, R. ; et al.
Nucl.Phys.B 93 (1975) 189-216, 1975.
Inspire Record 99412 DOI 10.17182/hepdata.6708

K − p reactions have been studied at 13 different incident momenta between 1138 and 1434 MeV/ c . This interval corresponds to a mass of the K − p system varying from 1858 to 1993 MeV. About 300 000 photographs were taken in the 81 cm Saclay hydrogen bubble chamber exposed to a separated K − beam at the CERN proton-synchrotron. A total of about 44 000 events were analyzed, from which partial and differential cross sections were determined. Polarizations were obtained for the two-body reactions where the decay of the Λ or Σ hyperon allowed their measurement. Data for the two-body channels are presented here as well as for the main quasi-two-body reactions.

3 data tables match query

PARTIAL CROSS SECTIONS. DATA AT 1.305 TO 1.434 GEV/C FOR FINAL STATES K- P, K- P PI0 AND K- N PI+ COME FROM THE HAIFA GROUP, S. DADO ET AL.

No description provided.

No description provided.


201 GeV/c Proton Proton Elastic Scattering at Large Momentum Transfer

Hartmann, J.L. ; Orear, J. ; Vrieslander, J. ; et al.
Phys.Rev.Lett. 39 (1977) 975, 1977.
Inspire Record 120624 DOI 10.17182/hepdata.20930

Proton-proton elastic scattering has been measured in the region 4.9<|t|<12.1 GeV2 at a beam momentum of 201 GeV/c. If the form exp(At) is fitted to the data, the exponent A gradually changes from 1.5 to 0.9 GeV−2 over our t range. The data are consistent with the form exp(−6.6p⊥). A comparison with intersecting storage ring results shows that in this kinematical region the slopes are about the same, but dσdt at fixed t is still dropping with energy.

2 data tables match query

7904 ELASTIC EVENTS.

1030 ELASTIC EVENTS.


400 GeV/c pp Elastic Scattering: Energy and Angle Dependence at High Momentum Transfer

Conetti, S. ; Hojvat, C. ; Ryan, D.G. ; et al.
Phys.Rev.Lett. 41 (1978) 924, 1978.
Inspire Record 131549 DOI 10.17182/hepdata.20819

Proton-proton elastic scattering at 400 GeV/c has been measured in the region 5.4<−t<14.4 GeV2 with no sign of a second dip or "break." If the data are fitted by exp(At), the slope A decreases from 1.5±0.1 to 0.7±0.2 GeV−2 over the range. At fixed t the 400-GeV/c cross sections are about 0.6 times those at 200 GeV/c in this t range. At fixed θc.m.=15°, dσdt∝s−n where n=9.7±0.3.

2 data tables match query

No description provided.

No description provided.