Study of the two-charged-particle final states of 3.9-gev/c pi+- p interactions including a longitudinal-momentum analysis of the one-pion- production channels

Bastien, P.L. ; Carmel, Z. ; Dao, F.T. ; et al.
Phys.Rev.D 3 (1971) 2047-2064, 1971.
Inspire Record 68000 DOI 10.17182/hepdata.23677

We have analyzed the two-prong final states in π+p interactions at 3.9 GeVc. Our result for elastic scattering is σ (elastic) = 6.50±0.1 mb (statistical error only). We find the elastic slope to be 6.61±0.14 (GeVc)−2. We find the elastic forward cross section to be 40.0±1.4 mb(GeVc)2. We have applied a longitudinal-momentum analysis to the one-pion-production channel. We find the cross section for the reaction π++p→π++π0+p to be 2.30±0.06 mb and that for π++p→π++π++n to be 1.45±0.05 mb. For resonance-production cross sections in these channels we find Δ(1236)=0.60±0.07 mb, ρ(760)=0.86±0.06 mb, and diffraction dissociation = 1.69±0.11 mb. We find that we can satisfactorily fit all distributions in the one-pion-production channel without assuming any phase-space production. In the missing-mass channel we observe dominant Δ++(1236) production plus evidence for A2+ production.

5 data tables match query

No description provided.

No description provided.

No description provided.

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ELASTIC SCATTERING AND PARTICLE PRODUCTION IN TWO PRONG PI- P INTERACTIONS AT 8-GEV/C

Kitagaki, T. ; Tanaka, S. ; Yuta, H. ; et al.
Phys.Rev.D 26 (1982) 1572-1587, 1982.
Inspire Record 182974 DOI 10.17182/hepdata.23945

Results of a high-statistics study of elastic scattering and meson resonances produced by π−p interactions at 8 GeV/c are presented. Large statistics and small systematic errors permit examination of the complete kinematic region. Total differential cross sections are given for ρ0,−, f0, g0,−, Δ±, Δ0, and N* resonances. Spin-density matrix elements and Legendre-polynomial moments are given for ρ, f, and Δ resonances. The results for ρ0 and f0 resonances are compared with the predictions of a Regge-pole-exchange model. Properties of the above resonances are compared and discussed. In particular, we present evidence that the ρ0 and f0 production mechanisms are similar. The similarity of the g0 t distribution to that of the ρ0 and f0 suggests a common production mechanism for all three resonances.

5 data tables match query

No description provided.

No description provided.

SLOPE REFERS TO EXPONENTIAL FIT IN U.

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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

5 data tables match query

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

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Diffraction Dissociation of Photons on Hydrogen

Chapin, T.J. ; Cool, R.L. ; Goulianos, Konstantin A. ; et al.
Phys.Rev.D 31 (1985) 17-30, 1985.
Inspire Record 216071 DOI 10.17182/hepdata.4332

We report results from a measurement of the inclusive diffraction dissociation of photons on hydrogen, γp→Xp, in the range 75<pγ<148 GeV/c, 0.02<‖t‖<0.1 (GeV/c)2, and MX2/s<0.1. Our data show an exponential t dependence and a dominant 1/MX2 behavior for MX2>4 GeV2. We test the finite-mass sum rule and, by comparing γp with π−p data obtained in the same apparatus, we test factorization.

14 data tables match query

EXTRACTED ELASTIC CROSS SECTIONS.

RESULTS OF EXPONENTIAL FITS TO ELASTIC CROSS SECTIONS.

DIFFERENTIAL CROSS SECTIONS FOR INELASTIC EVENTS.

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STUDY OF DIFFRACTION DISSOCIATION AND DOUBLE RESONANCE PRODUCTION IN THE FINAL STATE ANTI-P P PI+ PI- AT 7.2-GEV/C

Van Apeldoorn, G.W. ; Harting, D. ; Holthuizen, D.J. ; et al.
Nucl.Phys.B 156 (1979) 111-125, 1979.
Inspire Record 146767 DOI 10.17182/hepdata.34665

On 8 K events of the reaction p p π + π − at 7.23 GeV/ c simple selection on angular parameters is performed yielding a sample of events with the typical features of diffraction dissociation. A cross section of 1.22 ± 0.08 mb (in two vertices) and a slope of the t distribution of 12.6 ± 1.0 GeV −2 for − t < 0.1 GeV 2 are obtained for the diffraction fraction dissociation p → p π + π − + c.c. Using an analogous selection procedure, another sample of events is isolated that is characterized by double resonance production. Cross sections for Δ Δ and Δ Δ ′ + c.c. production amount to 1.27 ± 0.09 mb and 0.23 ± 0.07 mb respectively. Diffraction dissociation and double resonance production together make up for 87% of the total cross section for the reaction p p → p p π + π − , which is 3.11 ± 0.13 mb.

1 data table match query

No description provided.


New Results on Nucleon Double Diffraction at the {CERN} {ISR}

Goggi, G. ; Cavalli-Sforza, M. ; Conta, C. ; et al.
Phys.Lett.B 79 (1978) 165-169, 1978.
Inspire Record 131629 DOI 10.17182/hepdata.27380

Results on exclusive double diffraction dissociation in (N π ) and (N ππ ) final states are reported for neutron-neutron interactions at √ s = 26.4 GeV and for the proton-neutron interactions at √ s = 37.2 GeV. The data have been obtained at the CERN intersecting storage rings using split field magnet detector with proton-deuteron and deuteron-deuteron colliding beams. Factorization is shown to be verified to a very high degree in both mass- and t -differential cross-sections. The data confirm the previously observed rise in the proton-proton double diffractive cross-section as a function of c.m. energy.

3 data tables match query

26.6 GEV/C INCIDENT BEAMS.

26.6 GEV/C INCIDENT BEAMS.

No description provided.


CROSS-SECTION OF PARTICLE DIFFRACTIVE PRODUCTION IN ANTI-P P INTERACTIONS AT 32-GEV/C. (IN RUSSIAN)

Bogolyubsky, M.Yu. ; Borovikov, A.A. ; Bravina, L.V. ; et al.
Yad.Fiz. 46 (1987) 522-530, 1987.
Inspire Record 255691 DOI 10.17182/hepdata.2402

None

7 data tables match query

No description provided.

No description provided.

Total cross section for inelastic diffraction.

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PHOTON DIFFRACTIVE DISSOCIATION TO rho rho pi AND rho pi pi pi STATES

The Omega Photon collaboration Atkinson, M. ; Axon, T.J. ; Barberis, D. ; et al.
Z.Phys.C 38 (1988) 535, 1988.
Inspire Record 261249 DOI 10.17182/hepdata.48824

This paper reports studies of the reactions γp→ρ π π πp and γp→ρ ρ πp. In particular a peak is reported in the ρ ρ π mass spectrum with closely similar mass and width to those of the ω ρ π peak previously reported in the reaction γp→ω ρ πp. The ratio of production cross sections is found to be ρ ρ π/ω ρ π=0.96±0.19, in serious disagreement with the expectation from Vector Meson Dominance. A possible explanation is indicated.

1 data table match query

No description provided.


Analysis of the Reaction K- p --> K- pi- pi+ p at 40-GeV/c

The CERN-Serpukhov Boson Spectrometer Group collaboration Antipov, Yu.M. ; Ascoli, G. ; Busnello, R. ; et al.
Nucl.Phys.B 86 (1975) 381-402, 1975.
Inspire Record 90643 DOI 10.17182/hepdata.32087

The reaction K − p → K − π − π + p has been measured at 25 and 40 GeV/ c at the Serpukhov Proton Accelerator. The production cross section at 25 and 40 GeV/ c as a function of momentum transfer and K ππ mass is presented, and results of the partial-wave analysis of the K ππ system yielding information about Q(1300), K ∗ (1400) and L(1770) mesons are discussed.

1 data table match query

No description provided.


PRODUCTION OF LOW MASS K+ omega SYSTEMS ON NUCLEI

Zielinski, M. ; Berg, D. ; Chandlee, C. ; et al.
Phys.Rev.D 30 (1984) 1107, 1984.
Inspire Record 15686 DOI 10.17182/hepdata.23675

We have measured the coherent nuclear production of low-mass K+ω systems in K+A collisions at 202.5 GeV. Results for carbon, copper, and lead targets are similar to those found for π+π+π− production in π+A reactions at the same energy.

1 data table match query

M(K+ OMEGA) < 1.5 GEV.


Resonance Production in Diffractive $\pi^- N \to K^0_s K^0_s \pi^- N^{\prime}$ at 200-GeV/c

Chen, T.Y. ; Jenkins, E.W. ; Johnson, K.J. ; et al.
Phys.Rev.D 28 (1983) 2304, 1983.
Inspire Record 182627 DOI 10.17182/hepdata.23787

The reaction π−N→KS0KS0π−N′ at 200 GeV/c has been observed with a sensitivity of 450±150 events/μb. The KS0KS0π− system exhibits substantial K*−(890)K0 production. Also produced are f0(1270)π−, f′(1515)π−, and K*−(1430)K0 final states. These resonances occur predominantly at threshold. The diffractive KS0KS0π− cross section is 3.4±1.1 μb. An enhancement near the A3−(1680) is observed in the KS0KS0π− invariant-mass distribution.

1 data table match query

No description provided.


A Partial Wave Analysis of the $K^- \phi$ System Produced in the Reaction $K^- p \to K^+ K^- K^- p$ at 18.5-{GeV}/$c$

The Bari-Birmingham-CERN-Milan-Paris-Pavia collaboration Armstrong, T. ; Baubillier, M. ; Beusch, W. ; et al.
Nucl.Phys.B 221 (1983) 1-15, 1983.
Inspire Record 180924 DOI 10.17182/hepdata.33954

About 15 000 K − Φp events have been collected in the CERN Ω′ spectrometer. A partial-wave decomposition of the K − Φ system is performed. The 1 + SO + wave is dominant. The 0 − P0 + and 2 − P0 + waves are important and show resonant behaviour at ∼ 1.83 GeV (Γ ∼ 0.25 GeV) and ∼ 1.73 GeV (Γ ∼ 0.22 GeV) respectively. The first one can be interpreted as the second radial excitation of the kaon while the second one can be identified as one of the two L mesons.

1 data table match query

No description provided.


PRISM Plot Analysis of the Reaction pi+ p --> p pi+ pi+ pi- at 16-GeV/c

The AACHEN-BERLIN-BONN-CERN-CRACOW-HEIDELBERG collaboration Deutschmann, M. ; Schmitz, P. ; Schulte, R. ; et al.
Nucl.Phys.B 86 (1975) 221, 1975.
Inspire Record 104924 DOI 10.17182/hepdata.32122

A study of the reaction π + p → p π + π o at 16 GeV/ c incident momentum has been made using the prism plot analysis to reject background events arising from elastic and multineutral contaminations and to separate different reaction channels ( ϱ + p, g + p, Δ + π + , Δ ++ π o , π + (p π o ) DD ). Cross sections, invariant mass distributions and production and decay angular distributions are presented. For the channel corresponding to proton diffraction dissociation strong violation of both s - and t -channel helicity conservation is found for low values of the (p π o ) mass. We demonstrate that the prism plot method provides a better separation of background events than conventional methods using kinematic cuts.

1 data table match query

STATISTICAL ERRORS ONLY.


Analysis of the Charge Exchange Reaction $p p \to (p \pi^+$) ($p \pi^-$) and of $\Delta^{++}$ Delta0 Production at the {CERN} {ISR}

Goggi, G. ; Cavalli-Sforza, M. ; Conta, C. ; et al.
Nucl.Phys.B 143 (1978) 365-394, 1978.
Inspire Record 131628 DOI 10.17182/hepdata.34885

We present the results of a systematic analysis of charge-exchange double dissociation in proton-proton collisions at the CERN Intersecting Storage Rings. The data, obtained with the Split-Field Magnet detector, cover the entire ISR energy range between s = 23 GeV and s = 63 GeV at five standard energies.

2 data tables match query

CHARGE EXCHANGE DOUBLE DIFFRACTION DISSOCIATION OF PROTONS. THESE CROSS SECTIONS WERE REPORTED IN G. GOGGI ET AL., PL 72B, 265 (1977).

No description provided.


Production of Nucleon Resonances by Single Diffraction Dissociation at the CERN ISR

Webb, R. ; Trilling, G. ; Telegdi, V. ; et al.
Phys.Lett.B 55 (1975) 331-335, 1975.
Inspire Record 91189 DOI 10.17182/hepdata.27915

The single diffraction dissociation process pp → (p π + π − )p has been studied at the CERN ISR at √ s = 45 GeV and 0.1 < − t < 0.6 GeV 2 . The reaction is dominated by nucleon resonance production: pp → pN (1520) and pp → pN(1688) with cross-sections (0.25 ± 0.08) mb and (0.56 ± 0.19) mb respectively.

1 data table match query

DIFFERENTIAL CROSS SECTIONS FOR THREE RANGES OF <P PI+ PI-> MASS.


DIFFRACTION DISSOCIATION OF ANTI-PROTONS IN anti-p p COLLISIONS AT 22.4-GeV/c

The Dubna-Alma Ata-Yerevan-Helsinki-Moscow-Prague-Tbilisi collaboration Batyunya, B.V. ; Boguslavsky, I.V. ; Gramenitsky, I.M. ; et al.
Sov.J.Nucl.Phys. 37 (1983) 58, 1983.
Inspire Record 178090 DOI 10.17182/hepdata.71073

None

11 data tables match query

No description provided.

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A Measurement of $\bar{p} p$ and $p p$ Elastic Scattering at {ISR} Energies

The AMES-BOLOGNA-CERN-DORTMUND-HEIDELBERG-WARSAW collaboration Breakstone, A. ; Campanini, R. ; Crawley, H.B. ; et al.
Nucl.Phys.B 248 (1984) 253-260, 1984.
Inspire Record 204422 DOI 10.17182/hepdata.33837

We have measured the differential cross section for pp and p̄p elastic scattering at √ s = 31, 53 and 62 GeV in the interval 0.05 < | t | < 0.85 GeV 2 at the CERN ISR using the Split Field Magnet detector. At 53 and 62 GeV, for 0.17 < | t | < 0.85 GeV 2 both pp and p̄p data show simple exponential behaviour in t ; at √ s = 31 GeV the data for 0.05 < | t | < 0.85 GeV 2 are consistent with a change in slope near | t | = 0.15 GeV 2 .

5 data tables match query

ERRORS CONTAIN BOTH STATISTICAL AND T-DEPENDENT SYSYEMATIC ERRORS.

No description provided.

LOCAL SLOPE PARAMETERS BASED ON QUADRATIC EXPONENTIAL FIT.

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Systematic study of pi+- p, k+- p, p p, and anti-p p forward elastic scattering from 3 to 6 gev/c

Ambats, I. ; Ayres, D.S. ; Diebold, R. ; et al.
Phys.Rev.D 9 (1974) 1179-1209, 1974.
Inspire Record 92992 DOI 10.17182/hepdata.3409

Measurements of π±p, K±p, pp, and p¯p elastic scattering are presented for incident momenta of 3, 3.65, 5, and 6 GeVc and momentum transfers typically 0.03 to 1.8 GeV2. The angle and momentum of the scattered particle were measured with the Argonne Effective Mass Spectrometer for 300 000 events, yielding 930 cross-section values with an uncertainty in absolute normalization of ±4%. Only the K+ and proton data show any significant change in slope of the forward diffraction peak with incident momentum. The particle-antiparticle crossover positions are consistent with no energy dependence, average values being 0.14 ± 0.03, 0.190 ± 0.006, and 0.162 ± 0.004 GeV2 for π' s, K' s, and protons, respectively; these errors reflect both statistics and the ±1.5% uncertainty in particle-antiparticle relative normalization. Differences between particle and antiparticle cross sections isolate interference terms between amplitudes of opposite C parity in the t channel; these differences indicate that the imaginary part of the odd-C nonflip-helicity amplitude has a J0(r(−t)12) structure for −t<0.8 GeV2, as predicted by strong absorption models. The cross-section differences for K± and proton-antiproton are in qualitative agreement with the predictions of ω universality, the agreement improving with increasing energy. The corresponding quark-model predictions relating the π± and K± differences failed by more than a factor of 2. We have combined our π± cross sections with other data to better determine the πN amplitudes in a model-independent way; results of this analysis are presented.

17 data tables match query

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$\pi^{\pm} p$, $K^{\pm} p$, $pp$ and $p\bar{p}$ Elastic Scattering from 50-GeV/c to 175-GeV/c

The Fermilab Single Arm Spectrometer Group collaboration Ayres, D.S. ; Diebold, R. ; Maclay, G.J. ; et al.
Phys.Rev.D 15 (1977) 3105, 1977.
Inspire Record 110409 DOI 10.17182/hepdata.24653

The differential cross sections for the elastic scattering of π+, π−, K+, K−, p, and p¯ on protons have been measured in the t interval -0.04 to -0.75 GeV2 at five momenta: 50, 70, 100, 140, and 175 GeV/c. The t distributions have been parametrized by the quadratic exponential form dσdt=Aexp(B|t|+C|t|2) and the energy dependence has been described in terms of a single-pole Regge model. The pp and K+p diffraction peaks are found to shrink with α′∼0.20 and ∼0.15 GeV−2, respectively. The p¯p diffraction peak is antishrinking while π±p and K−p are relatively energy-independent. Total elastic cross sections are calculated by integrating the differential cross sections. The rapid decline in σel observed at low energies has stopped and all six reactions approach relatively constant values of σel. The ratio of σelσtot approaches a constant value for all six reactions by 100 GeV, consistent with the predictions of the geometric-scaling hypothesis. This ratio is ∼0.18 for pp and p¯p, and ∼0.12-0.14 for π±p and K±p. A crossover is observed between K+p and K−p scattering at |t|∼0.19 GeV2, and between pp and p¯p at |t|∼0.11 GeV2. Inversion of the cross sections into impact-parameter space shows that protons are quite transparent to mesons even in head-on collisions. The probability for a meson to pass through a proton head-on without interaction inelastically is ∼20% while it is only ∼6% for an incident proton or antiproton. Finally, the results are compared with various quark-model predictions.

31 data tables match query

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Hadron-Proton Elastic Scattering at 50-GeV/c, 100-GeV/c and 200-GeV/c Momentum

Akerlof, C.W. ; Kotthaus, R. ; Loveless, R.L. ; et al.
Phys.Rev.D 14 (1976) 2864, 1976.
Inspire Record 3655 DOI 10.17182/hepdata.24693

Elastic scattering of hadrons on protons has been measured at momenta of 50, 100, and 200 GeV/c. The meson-proton scattering is found to be independent of momentum and meson type for −t>0.8 (GeV/c)2. The momentum dependence of the pp dip at −t=1.4 (GeV/c)2 was investigated. Slope parameters are given.

19 data tables match query

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Evidence for Structure in the 1+ State of the Q Region

The Aachen-Berlin-CERN-London-Vienna & Ecole Poly-Rutherford-Saclay collaborations Otter, G. ; Rudolph, G. ; Schmid, P. ; et al.
Nucl.Phys.B 106 (1976) 77-94, 1976.
Inspire Record 3373 DOI 10.17182/hepdata.35803

We have performed a partial-wave analysis of the mainly diffractively produced low-mass (K ππ ) system in the reactions K − p → K − π + π − p and K − p → K 0 π − π 0 p at 10, 14 and 16 GeV /c . We find that the dominant 1 + S ( K ∗ π ) state has possibly a two-peak structure (around 1.27 and 1.37 GeV). In contrast the 1 + S(K ϱ ) state shows one narrow peak near thershold (around 1.27 GeV). These states are found to be of different origin. The results favour the interpretation of the 1 + S(K ϱ ) as a 1 + resonance below the (K ϱ ) threshold. The t ′ pp dependence is found to be different for the 1 + and 0 − states.

1 data table match query

No description provided.


DIFFRACTIVE DISSOCIATION OF NEUTRONS IN LAMBDA0 K0 ON HYDROGEN AT ABOUT 40-GeV ENERGY

The BIS-2 collaboration Aleev, A.N. ; Arefev, V.A. ; Balandin, V.P. ; et al.
JINR-P1-88-51, 1988.
Inspire Record 261900 DOI 10.17182/hepdata.38806

None

2 data tables match query

No description provided.

No description provided.


Study of $\eta \pi^+ \pi^-$ States in the $\rho^\prime$ (1600) Mass Region Photoproduced in the Reaction $\gamma p \to \eta \pi^+ \pi^- p$ at Photon Energies of 20-{GeV} to 70-{GeV}

The Omega Photon collaboration Atkinson, M. ; Axon, T.J. ; Barberis, D. ; et al.
Z.Phys.C 30 (1986) 531, 1986.
Inspire Record 218611 DOI 10.17182/hepdata.15991

In diffractive photoproduction ofηπ+π−, the two-body substatesηρ0 andA2π are found to contribute significantly to the cross-section forηπ+π− masses below 2.4 GeV. From a spin-parity analysis the branching ratio, ρ′(1600)→ηρ/ρ′(1600)→, is determined to be <0.02 at the 68.3% confidence level. TheA2π component shows an enhancement around 1.7 GeV. The spin-parity analysis indicates a probable contribution to this signal from exclusive photoproduction of theg(1690).

3 data tables match query

No description provided.

Not corrected for 35% background under the eta --> gamma gamma peak.

Not corrected for 35% background under the ETA --> GAMMA GAMMA peak.


HIGH-ENERGY DIFFRACTION DISSOCIATION OF K0(L) INTO EXCLUSIVE FINAL STATES

Lamm, M.J. ; Wiss, J.E. ; Avery, P. ; et al.
Phys.Rev.D 36 (1987) 3341-3352, 1987.
Inspire Record 244943 DOI 10.17182/hepdata.23353

We have observed diffraction dissociation of KL0 mesons with a carbon target into the exclusive final states KS0π+π−, KS0ω, and KS0φ. The diffraction production cross section for these states is not strongly dependent on the incident energy, varying at most by 30% between 75 and 150 GeV. The mass distributions do not change appreciably as a function of laboratory energy. The ratio of the diffractive mass-threshold production of K*±π∓, KS0ρ, KS0ω, and KS0φ is compared with previously obtained lower-energy data.

4 data tables match query

TP (=T-TMIN) distribution for K0S PI+ PI- events satisfying the diffractive cuts.

TP distributions for K0S OMEGA and K0S PHI events which satisfy the diffractive cuts.

CROSS SECTIONS PER NUCLEUS.

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s CHANNEL AND t CHANNEL HELICITY CONSERVATION IN DIFFRACTIVE EVENTS OF THE REACTION K+ p ---> K+ pi+ pi- p AT 32-GeV/c

The CERN-Soviet collaboration Azhinenko, I.V. ; Barth, M. ; Belokopytov, Yu.A. ; et al.
Sov.J.Nucl.Phys. 32 (1980) 673, 1980.
Inspire Record 146409 DOI 10.17182/hepdata.41499

None

20 data tables match query

DD IVENTS SELECTED BY THE RAPIDITY GAP METHOD.

/DD EVENTS SELECTED BY RAPIDITY GAP METHOD.

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THE REACTION P P ---> (LAMBDA0 K+) P AT 50-GEV/C AND 30-GEV/C: PARTIAL WAVE ANALYSIS, DECK MODEL AND DOUBLE REGGE EXCHANGE

Cleland, W.E. ; Delfosse, A. ; Dorsaz, P.-A. ; et al.
Nucl.Phys.B 239 (1984) 27-51, 1984.
Inspire Record 205379 DOI 10.17182/hepdata.33884

We have obtained a sample of 20 465 (2201) events in the channel pp→ ( Λ 0 K + )p at 50 (30) GeV/ c incident momentum with Geneva-Lausanne spectrometer at the CERN SPS. In this analysis we investigate: 1. (i) the production of N ∗ (I = 1 2 ) states in the mass region 1.6 ⩽ M ( Λ 0 K + ) ⩽ 2.6 GeV and momentum transfer 0.06 ⩽ | t | 1.0 (GeV/ c ) 2 , by studing the amplitudes and phases from a moment analysis of the decay angular distribution; 2. (ii) the contribution of the K-exchange Deck model for M ( Λ 0 K + < 2.22 GeV; 3. (iii) the double Regge exchange phenomenology for s Λ 0 K + > 5 GeV 2 and s Λ 0 K + p > 5 GeV 2 .

2 data tables match query

No description provided.

No description provided.


Evidence for Pomeron Single Quark Interactions in Proton Diffraction at the {ISR}

The R608 collaboration Smith, A.M. ; Meritet, L. ; Reyrolle, M. ; et al.
Phys.Lett.B 163 (1985) 267-272, 1985.
Inspire Record 216801 DOI 10.17182/hepdata.30332

Measurements are presented of two exclusive diffractive reactions, pp → (Λ 0 φ 0 K + ) p and pp → (Λ 0 Λ 0 p)p , at √ s = 63 GeV . Pronounced correlations with the beam direction are observed (in the rest frame of the forward-going bracketed system) for those outgoing particles which contain the beam valence quarks. In each case there is a forward-Λ 0 in correlation with a backward K + or p, respectively. No such behavior is seen for the particles which do not contain beam valence quarks (φ 0 and Λ 0 , respectively) . Interpreted as examples of pomeron-proton scattering, these results constitute evidence that, for these final states, the pomeron interacts with a single valence quark and apparently back-scatters it. The subsequent hadronization leads to a longitudinal event structure.

2 data tables match query

Cross sections for forward LAMBDA signal counting both arms of the p p interaction.

Cross sections for forward LAMBDA signal counting both arms of the p p interaction.


Measurement of the central exclusive production of charged particle pairs in proton-proton collisions at $\sqrt{s} = 200$ GeV with the STAR detector at RHIC

The STAR collaboration Adam, Jaroslav ; Adamczyk, Leszek ; Adams, Joseph ; et al.
JHEP 07 (2020) 178, 2020.
Inspire Record 1792394 DOI 10.17182/hepdata.94264

We report on the measurement of the Central Exclusive Production of charged particle pairs $h^{+}h^{-}$ ($h = \pi, K, p$) with the STAR detector at RHIC in proton-proton collisions at $\sqrt{s} = 200$ GeV. The charged particle pairs produced in the reaction $pp\to p^\prime+h^{+}h^{-}+p^\prime$ are reconstructed from the tracks in the central detector, while the forward-scattered protons are measured in the Roman Pot system. Differential cross sections are measured in the fiducial region, which roughly corresponds to the square of the four-momentum transfers at the proton vertices in the range $0.04~\mbox{GeV}^2 < -t_1 , -t_2 < 0.2~\mbox{GeV}^2$, invariant masses of the charged particle pairs up to a few GeV and pseudorapidities of the centrally-produced hadrons in the range $|\eta|<0.7$. The measured cross sections are compared to phenomenological predictions based on the Double Pomeron Exchange (DPE) model. Structures observed in the mass spectra of $\pi^{+}\pi^{-}$ and $K^{+}K^{-}$ pairs are consistent with the DPE model, while angular distributions of pions suggest a dominant spin-0 contribution to $\pi^{+}\pi^{-}$ production. The fiducial $\pi^+\pi^-$ cross section is extrapolated to the Lorentz-invariant region, which allows decomposition of the invariant mass spectrum into continuum and resonant contributions. The extrapolated cross section is well described by the continuum production and at least three resonances, the $f_0(980)$, $f_2(1270)$ and $f_0(1500)$, with a possible small contribution from the $f_0(1370)$. Fits to the extrapolated differential cross section as a function of $t_1$ and $t_2$ enable extraction of the exponential slope parameters in several bins of the invariant mass of $\pi^+\pi^-$ pairs. These parameters are sensitive to the size of the interaction region.

47 data tables match query

Differential fiducial cross section for CEP of $\pi^+\pi^-$ pairs as a function of the invariant mass of the pair. Systematic uncertainties assigned to data points are strongly correlated between bins and should be treated as allowed collective variation of all data points. There are two components of the total systematic uncertainty. The systematic uncertainty related to the experimental tools and analysis method is labeled "syst. (experimental)". The systematic uncertainty related to the integrated luminosity (fully correlated between all data points) is labeled "syst. (luminosity)". Fiducial region definition: * central state $\pi^+$, $\pi^-$ - $p_{\mathrm{T}} > 0.2~\mathrm{GeV}$ - $|\eta| < 0.7$ * intact forward-scattered beam protons $p'$ - $p_x > -0.2~\mathrm{GeV}$ - $0.2~\mathrm{GeV} < |p_{y}| < 0.4~\mathrm{GeV}$ - $(p_x+0.3~\mathrm{GeV})^2 + p_y^2 < 0.25~\mathrm{GeV}^2$

Differential fiducial cross section for CEP of $K^+K^-$ pairs as a function of the invariant mass of the pair. Systematic uncertainties assigned to data points are strongly correlated between bins and should be treated as allowed collective variation of all data points. There are two components of the total systematic uncertainty. The systematic uncertainty related to the experimental tools and analysis method is labeled "syst. (experimental)". The systematic uncertainty related to the integrated luminosity (fully correlated between all data points) is labeled "syst. (luminosity)". Fiducial region definition: * central state $K^+$, $K^-$ - $p_{\mathrm{T}} > 0.3~\mathrm{GeV}$ - $min(p_{\mathrm{T}}(K^+), p_{\mathrm{T}}(K^-)) < 0.7~\mathrm{GeV}$ - $|\eta| < 0.7$ * intact forward-scattered beam protons $p'$ - $p_x > -0.2~\mathrm{GeV}$ - $0.2~\mathrm{GeV} < |p_{y}| < 0.4~\mathrm{GeV}$ - $(p_x+0.3~\mathrm{GeV})^2 + p_y^2 < 0.25~\mathrm{GeV}^2$

Differential fiducial cross section for CEP of $p\bar{p}$ pairs as a function of the invariant mass of the pair. Systematic uncertainties assigned to data points are strongly correlated between bins and should be treated as allowed collective variation of all data points. There are two components of the total systematic uncertainty. The systematic uncertainty related to the experimental tools and analysis method is labeled "syst. (experimental)". The systematic uncertainty related to the integrated luminosity (fully correlated between all data points) is labeled "syst. (luminosity)". Fiducial region definition: * central state $p$, $\bar{p}$ - $p_{\mathrm{T}} > 0.4~\mathrm{GeV}$ - $min(p_{\mathrm{T}}(p), p_{\mathrm{T}}(\bar{p})) < 1.1~\mathrm{GeV}$ - $|\eta| < 0.7$ * intact forward-scattered beam protons $p'$ - $p_x > -0.2~\mathrm{GeV}$ - $0.2~\mathrm{GeV} < |p_{y}| < 0.4~\mathrm{GeV}$ - $(p_x+0.3~\mathrm{GeV})^2 + p_y^2 < 0.25~\mathrm{GeV}^2$

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Anti-p p and p p Forward Elastic Scattering Between 4-GeV/c and 10-GeV/c

Jenni, P. ; Baillon, P. ; Declais, Y. ; et al.
Nucl.Phys.B 129 (1977) 232-252, 1977.
Inspire Record 120467 DOI 10.17182/hepdata.35255

Differential cross sections have been measured in the region of small forward angles (between 0 and ∼40 mrad) for the elastic scattering reactions pp → pp at 4.2, 7.0 and 10.0 GeV /c and p p → p p at 4.2, 6.0, 8.0 and 10.0 GeV /c . The maximum momentum transfer is ∼0.025 GeV 2 at the lowest and ∼0.10 GeV/c at the highest incident momentum. Values of the slope and the real part of the forward scattering amplitude of the above reactions have been derived; the values obtained are in good agreement with dispersion relations.

5 data tables match query

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Elastic pi- p, k- p and anti-p p scattering at momenta of 25 and 40 gev/c

Antipov, Yu.M. ; Ascoli, G. ; Busnello, R. ; et al.
Yad.Fiz. 18 (1973) 353-363, 1973.
Inspire Record 84824 DOI 10.17182/hepdata.19259

None

1 data table match query

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Elastic Scattering of pi-, K-, and anti-p from Hydrogen at 8-GeV/c and 16-GeV/c

Russ, J.S. ; Birnbaum, D. ; Edelstein, R.M. ; et al.
Phys.Rev.D 15 (1977) 3139-3154, 1977.
Inspire Record 124704 DOI 10.17182/hepdata.24650

In a single-arm spectrometer experiment, high-precision measurements of dσdt for π−p, K−p, and p¯p elastic scattering have been made at 8 and 16 GeV/c. The π−p data show rich structure at 8 GeV/c, indicative of strong non-Pomeron contributions, while the 16-GeV/c data are much smoother. For −t≳1 (GeV/c)2 there is a strong s dependence while there is very little for −t<1 (GeV/c)2. For p¯p scattering the forward region is smoothly diffractive for −t<0.4 (GeV/c)2 and shows antishrinkage. The exponential slope parameter b is measured to be 12.36 ± 0.04 (GeV/c)−2 at 8 GeV/c and 11.40 ± 0.04 (GeV/c)−2 at 16 GeV/c. The structure near −t=0.6 (GeV/c)2 seen at lower energies is still obvious at 16 GeV/c. The K−p data show some structure at 8 GeV/c, but can be represented adequately by a quadratic exponential form. At 16 GeV/c the K−p angular distribution shows antishrinkage and lies above the 8-GeV/c cross section for 0.11<−t<0.8 (GeV/c)2.

7 data tables match query

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Elastic scattering of pi- p, K- p and anti-p p at 25-GeV/c and 40-GeV/c

Antipov, Yu.M. ; Ascoli, G. ; Busnello, R. ; et al.
Nucl.Phys.B 57 (1973) 333-347, 1973.
Inspire Record 80976 DOI 10.17182/hepdata.32554

Elastic diffraction scattering of π − , K − and p on protons has been measured at 25 and 40 GeV/c at the Serpukhov Proton Accelerator. Differential elastic cross sections and diffraction slopes are presented in the momentum-transfer interval 0.07–0.80 (GeV/ c ) 2 and compared with existing data at lower energies.

4 data tables match query

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Comparison of 20 exclusive reactions at large t

White, C. ; Appel, R. ; Barton, D.S. ; et al.
Phys.Rev.D 49 (1994) 58-78, 1994.
Inspire Record 377535 DOI 10.17182/hepdata.50306

We report a study of 20 exclusive reactions measured at the AGS at 5.9 GeV/c incident momentum, 90° center of mass. This experiment confirms the strong quark flow dependence of two-body hadron-hadron scattering at large angle. At 9.9 GeV/c an upper limit had been set for the ratio of cross sections for (p¯p→p¯p)(pp→pp) at 90° c.m., with the ratio less than 4%. The present experiment was performed at lower energy to gain sensitivity, but was still within the fixed angle scaling region. A ratio R(p¯ppp)≈140 was measured at 5.9 GeV/c, 90° c.m. in comparison to a ratio near 1.7 for small angle scattering. In addition, many other reactions were measured, often for the first time at 90° c.m. in the scaling region, using beams of π±, K±, p, and p¯ on a hydrogen target. There are similar large differences in cross sections for other reactions: R(K−p→π+Σ−K−p→π−Σ+)≈112, for example. The relative magnitudes of the different cross sections are consistent with the dominance of quark interchange in these 90° reactions, and indicate that pure gluon exchange and quark-antiquark annihilation diagrams are much less important. The angular dependence of several elastic cross sections and the energy dependence at a fixed angle of many of the reactions are also presented.

7 data tables match query

Cross sections at 90 degrees in the centre-of-mass.

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A High Statistics Study of pi+ p, pi- p, and p p Elastic Scattering at 200-GeV/c

Schiz, A. ; Fajardo, L.A. ; Majka, R. ; et al.
Phys.Rev.D 24 (1981) 26, 1981.
Inspire Record 143937 DOI 10.17182/hepdata.24037

We have measured π+p, π−p, and pp elastic scattering at an incident-beam momentum of 200 GeV/c in the region of −t, four-momentum transfer squared, from 0.021 to 0.665 (GeV/c)2. The data allow an investigation of the t dependence of the logarithmic forward slope parameter b≡(ddt)(lndσdt). In addition to standard parametrization, we use functional forms suggested by the additive quark model to fit the measured dσdt distributions. Within the context of this model we estimate the size of the clothed quark in the pion and proton. Limits on the elastic-scattering amplitude derived from unitarity bounds are checked, and no violations are observed.

4 data tables match query

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High-Energy Proton-Proton Diffraction Scattering

Diddens, A.N. ; Lillethun, E. ; Manning, G. ; et al.
Phys.Rev.Lett. 9 (1962) 108-111, 1962.
Inspire Record 46802 DOI 10.17182/hepdata.21634

None

7 data tables match query

This table from the from the Erratum.

Table 1.

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Measurement of the total cross section from elastic scattering in $pp$ collisions at $\sqrt{s}=7$ TeV with the ATLAS detector

The ATLAS collaboration Aad, Georges ; Abbott, Brad ; Abdallah, Jalal ; et al.
Nucl.Phys.B 889 (2014) 486-548, 2014.
Inspire Record 1312171 DOI 10.17182/hepdata.68910

A measurement of the total $pp$ cross section at the LHC at $\sqrt{s}=7$ TeV is presented. In a special run with high-$\beta^{\star}$ beam optics, an integrated luminosity of 80 $\mu$b$^{-1}$ was accumulated in order to measure the differential elastic cross section as a function of the Mandelstam momentum transfer variable $t$. The measurement is performed with the ALFA sub-detector of ATLAS. Using a fit to the differential elastic cross section in the $|t|$ range from 0.01 GeV$^2$ to 0.1 GeV$^2$ to extrapolate to $|t|\rightarrow 0$, the total cross section, $\sigma_{\mathrm{tot}}(pp\rightarrow X)$, is measured via the optical theorem to be: $$\sigma_{\mathrm{tot}}(pp\rightarrow X) = 95.35 \; \pm 0.38 \; ({\mbox{stat.}}) \pm 1.25 \; ({\mbox{exp.}}) \pm 0.37 \; (\mbox{extr.}) \; \mbox{mb},$$ where the first error is statistical, the second accounts for all experimental systematic uncertainties and the last is related to uncertainties in the extrapolation to $|t|\rightarrow 0$. In addition, the slope of the elastic cross section at small $|t|$ is determined to be $B = 19.73 \pm 0.14 \; ({\mbox{stat.}}) \pm 0.26 \; ({\mbox{syst.}}) \; \mbox{GeV}^{-2}$.

6 data tables match query

The measured total cross section, the first systematic error accounts for all experimental uncertainties and the second error for the extrapolation t-->0.

The nuclear slope of the differential eslastic cross section at small |t|, the first systematic error accounts for all experimental uncertainties and the second error for the extrapolation t-->0.

The Optical Point dsigma/(elastic)/dt(t-->0), the total elastic cross section and the observed elastic cross section within the fiducial volume. The first systematic error accounts for all experimental uncertainties and the second error for the extrapolation t-->0.

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PROTON-PROTON ELASTIC SCATTERING BETWEEN 13.0-GeV/c AND 28.4-GeV/c

Ma, Z.Ming ; Sprafka, R.J. ; Smith, G.A. ;
PRINT-69-1741, 1969.
Inspire Record 1104467 DOI 10.17182/hepdata.1131

None

20 data tables match query
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Proton-proton elastic scattering at incidence momenta 3, 5, and 7 BeV/c

Clyde, A.R. ;
UCRL-16275, 1966.
Inspire Record 923251 DOI 10.17182/hepdata.10

None

22 data tables match query

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Small-Angle Elastic Scattering of Protons and Pions, 7-20 BeV/c

Foley, K.J. ; Lindenbaum, S.J. ; Love, W.A. ; et al.
Phys.Rev.Lett. 11 (1963) 425-429, 1963.
Inspire Record 46642 DOI 10.17182/hepdata.228

None

8 data tables match query

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Elastic Proton-Proton Scattering at 1.35, 2.1, and 2.9 BeV

Fujii, T. ; Chadwick, G.B. ; Collins, G.B. ; et al.
Phys.Rev. 128 (1962) 1836-1841, 1962.
Inspire Record 944980 DOI 10.17182/hepdata.624

As a part of our program to study p−p collisions at Cosmotron energies, the differential cross sections for elastic scattering were measured at five laboratory angles between 2.3° and 17° for each incident energy. Total elastic cross sections obtained by integration are 21.4±1.4, 17.0±0.8, and 14.7±0.7 mb at 1.35, 2.1, and 2.9 BeV, respectively. The angular distribution as a function of the momentum transfer, exhibits a forward diffraction peak, the width of which shrinks slightly as the incident energy increases. The experimental results were fitted by simple optical model calculations and also compared with the predictions of the composite particle theory of Chew and Frautschi.

4 data tables match query

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Small Angle Elastic p p Scattering at 30-GeV, 50-GeV, and 70-GeV

Geshkov, I.M. ; Ikov, N.L. ; Markov, P.K. ; et al.
Phys.Rev.D 13 (1976) 1846-1850, 1976.
Inspire Record 113910 DOI 10.17182/hepdata.24790

A thin polyethylene target was exposed to the internal proton beam of the Serpukhov accelerator at 30, 50, and 70 GeV. The wide-angle recoil protons were registered by photoemulsion stacks and the differential cross sections of the elastic p−p scattering in the range of four-momentum transfer squared 0.0025≤|t|≤0.12 (GeV/c)2 were measured. The ratio of the real to the imaginary part of the forward nuclear amplitude α, the slope parameter of the diffraction peak b, and the total elastic cross section σel were found to be as follows: at 30 GeV, α=−0.183±0.051, b=10.61±0.27 (GeV/c)−2, σel=7.7±0.2 mb; at 50 GeV, α=−0.068±0.040, b=11.25±0.28 (GeV/c)−2, σel=7.0±0.2 mb; at 70 GeV, α=−0.104±0.065, b=11.21±0.40 (GeV/c)−2, σel=7.1±0.2 mb.

5 data tables match query

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pi+ proton, pi- proton and pp elastic scattering at 8.5, 12.4 and 18.4 GeV/c

Harting, D. ; Blackall, P. ; Elsner, B. ; et al.
Nuovo Cim. 38 (1965) 60, 1965.
Inspire Record 49759 DOI 10.17182/hepdata.1110

Approximately 60 000 events have been collected in a spark chamber experiment at the CERN Proton Synchrotron which studied elastic diffraction scattering of π--p and p-p at incident momenta of 8.5, 12.4 and 18.4 GeV/c and of π+-p at 8.5 and 12.4 GeV/c. Magnetic analysis of the incoming and diffraction scattered particle, together with measurement of all angles, permitted each event to be determined as elastic subject to three constraints, so that the inelastic background was rejected with. high efficiency, even at the larger momentum, transfers. Much of the data have been processed by the CERN Automatic Flying-Spot DigitizerHPD. A detailed description of the experimental technique and of the methods of analysis is given. The results, together with data from lower energies, confirm the remarkable energy-independence of the shape of the pion-proton diffraction scattering peak up to |t| = 1.5 (GeV/c)2, wheret is the square of the four-momentum transfer, over a range of pion energies from 2 to 18 GeV. Proton-proton scattering does however appear to show a shrinking diffraction peak. In general, the data agree with other experiments using both counter and bubble chamber techniques, but some differences do appear. During the experiment, data were taken which set an upper limit of 2·102 μb/(GeV/c)2 on the differential elastic cross-section dσ/dt over a range of |t| from 20.9 to 23.4 (GeV/c)2 at 13.4 GeV/c incident pion momentum.

18 data tables match query

'1'. '2'. '3'. '4'.

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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 small angle anti-proton - proton elastic scattering at S**(1/2) = 546-GeV and 1800-GeV

The CDF collaboration Abe, F. ; Albrow, Michael G. ; Amidei, Dante E. ; et al.
Phys.Rev.D 50 (1994) 5518-5534, 1994.
Inspire Record 359411 DOI 10.17182/hepdata.22369

Antiproton-proton elastic scattering was measured at c.m.s. energies √s =546 and 1800 GeV in the range of four-momentum transfer squared 0.025<-t<0.29 GeV2. The data are well described by the exponential form ebt with a slope b=15.28±0.58 (16.98±0.25) GeV−2 at √s =546 (1800) GeV. The elastic scattering cross sections are, respectively, σel=12.87±0.30 and 19.70±0.85 mb.

4 data tables match query

Final results (systematic errors included).

Final results (systematic errors included).

Statistical errors only. Data supplied by S. Belforte.

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Antiproton-proton elastic scattering from 1.51–2.90 GeV/ c

Parker, D.L. ; Oh, B.Y. ; Smith, G.A. ; et al.
Nucl.Phys.B 32 (1971) 29-44, 1971.
Inspire Record 1392679 DOI 10.17182/hepdata.814

In a bubble chamber experiment, we have measured p p elastic scattering at nine momenta in the range 1.51–2.90 GeV/ c . The extrapolation of the small angle region to t = 0 is discussed and compared with results of other experiments. The differential cross sections are fitted to an adaptation of the Frahn-Venter optical model and also compared to Regge-pole model predictions.

19 data tables match query

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

'1'. '3'.

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Anti-p-p elastic scattering at 8 and 16 gev/c

Birnbaum, D. ; Edelstein, R.M. ; Hien, N.C. ; et al.
Phys.Rev.Lett. 23 (1969) 663-666, 1969.
Inspire Record 56380 DOI 10.17182/hepdata.3393

Angular distributions are presented for p¯−p elastic scattering at 8 and 16 GeV/c for |t|<1.3 (GeV/c)2. At both energies there is structure in the differential cross sections in the region 0.5<~|t|<~1.0 (GeV/c)2, similar to that observed at lower energies. The diffraction peak continues to expand with increasing incident momentum.

4 data tables match query

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Antiproton and Kaon Elastic Scattering at High Energies

Foley, K.J. ; Lindenbaum, S.J. ; Love, W.A. ; et al.
Phys.Rev.Lett. 11 (1963) 503-506, 1963.
Inspire Record 44671 DOI 10.17182/hepdata.208

None

5 data tables match query

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

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$\bar{p} -p$ Elastic Scattering at 6.9 GeV/c

Kitagaki, T. ; Takahashi, K. ; Tanaka, S. ; et al.
Phys.Rev.Lett. 21 (1968) 175-177, 1968.
Inspire Record 54434 DOI 10.17182/hepdata.198

The p¯−p elastic scattering at 6.9 GeV/c was studied by the analysis of antiproton film taken by the Brookhaven National Laboratory 80-in. hydrogen bubble chamber. The cross section of the elastic scattering was 14.7 ± 1.5 mb. The angular distribution showed a dip in the region of −t≈0.6 (GeV/c)2 and a secondary maximum at −t≈0.8 (GeV/c)2.

2 data tables match query

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STUDY OF ELASTIC anti-p p SCATTERING AT 32-GeV/c

Bogolyubsky, M.Yu. ; Kiryunin, A.E. ; Kotova, A.I. ; et al.
Sov.J.Nucl.Phys. 41 (1985) 773, 1985.
Inspire Record 205769 DOI 10.17182/hepdata.40982

None

3 data tables match query

Axis error includes +- 0.0/0.0 contribution (?////FOR LOSSES OF PROTONS WITH MOMENTUM >1.2 GEV).

Axis error includes +- 0.0/0.0 contribution (?////FOR LOSSES OF PROTONS WITH MOMENTUM >1.2 GEV).

Axis error includes +- 0.0/0.0 contribution (?////FOR LOSSES OF PROTONS WITH MOMENTUM >1.2 GEV).


Analysis of Two Prong Events in anti-Proton-Proton Interactions at 5.7-GeV/c

Braun, Henri ; Gerber, J.-P. ; Maurer, G. ; et al.
Nucl.Phys.B 95 (1975) 481-502, 1975.
Inspire Record 2106 DOI 10.17182/hepdata.31929

A study of elastic scattering, one-pion production and annihilation reactions in p p interactions at 5.7 GeV/ c was carried out, from the two-prong events, obtained in the hydrogen bubble chamber exposed at CERN.

2 data tables match query

NUMBER OF EVENTS FOR -T<0.03 GEV**2 CALCULATED BY EXTRAPOLATION.

No description provided.