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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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Measurement of Spin Spin Correlation Parameters in the $p p$ System at 11.75-{GeV}/$c$

Auer, I.P. ; Colton, E. ; Ditzler, W.R. ; et al.
Phys.Rev.D 34 (1986) 1, 1986.
Inspire Record 226969 DOI 10.17182/hepdata.23504

Final results are presented of the proton-proton elastic-scattering spin parameters CSS=(S,S;0,0) and CLS=(L,S;0,0) for thetac.m.=8°–49° and of CLL=(L,L;0,0) for thetac.m.=8°–90° at 11.75 GeV/c. Comparisons to theoretical models are also made.

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Measurements of Triple and Double Spin Parameters in Elastic $p p$ Scattering at 6-{GeV}/$c$

Auer, I.P. ; Chalmers, J. ; Colton, E. ; et al.
Phys.Rev.D 32 (1985) 1609, 1985.
Inspire Record 213562 DOI 10.17182/hepdata.23547

Toward the goal of experimentally determining the p-p elastic-scattering amplitudes at 6 GeV/c, we have measured a number of triple- and double-spin correlation parameters over the ‖t‖ range between 0.2 and 1.0 (GeV/c)2. These new data permit the first nucleon-nucleon amplitude determination in the multi-GeV energy range. Polarized beams from the Argonne Zero Gradient Synchrotron and polarized targets were utilized. The polarization of the recoil proton was measured with a carbon polarimeter. A total of 14 different spin observables were measured (five spin transfer, four depolarization, and five triple-spin correlation parameters). These have been combined with earlier results, resulting in a data set of typically 30 measurements of 20 different spin observables for each of six ‖t‖ values between 0.2 and 1.0 (GeV/c)2. A solution for the amplitudes has been found at each ‖t‖, and comparisons are presented with several different models. The spin-nonflip helicity amplitudes are found to be much larger than the spin-flip amplitudes.

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MEASUREMENT OF THE P P ELASTIC SCATTERING SPIN PARAMETER C(LL) AT 11.75-GEV/C FOR THETA (C.M.) = 48-DEGREES - 90-DEGREES

Auer, I.P. ; Colton, E. ; Ditzler, W.R. ; et al.
Phys.Rev.Lett. 52 (1984) 808-810, 1984.
Inspire Record 202204 DOI 10.17182/hepdata.20434

Results are presented of a measurement of the proton-proton elastic-scattering spin parameter CLL=(L,L;0,0) at 11.75 GeV/c and θc.m.=48°−90°. The value of CLL is nearly constant and is approximately -0.16 in this angular region. This behavior is consistent with only one of the many models proposed describing the interaction via the hard scattering of two quarks.

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NUMERICAL VALUES OF DATA SUPPLIED BY H. SPINKA.

ESTIMATED VALUE OF CSS (90 DEG) DETERMINED FROM PRESENT DATA ON CLL AND DATA OF CRABB ET AL., (PRL 41, 1257) AND CROSBIE ET AL., (PR D23, 600) FOR CNN VIA THE RELATION CNN-CSS-CLL=1 (90 DEG). ERROR CONTAINS BOTH SYSTEMAT8ICS AND STATISTICS.


MEASUREMENT OF DELTA SIGMA-l AND C (L, L) = (L, L : 0, 0) N PROTON PROTON SCATTERING BETWEEN 300-MEV AND 800-MEV

Auer, I.P. ; Ditzler, W.R. ; Hill, D. ; et al.
Phys.Rev.D 29 (1984) 2435-2468, 1984.
Inspire Record 205458 DOI 10.17182/hepdata.23728

Measurements are reported of the difference ΔσL between proton-proton total cross sections for parallel and antiparallel spin states and of the parameter CLL for proton-proton elastic scattering near 90°, for thirteen energies between 300 and 800 MeV. The ΔσL results agree well with previous ANL ZGS and SIN data, but disagree with recent results from TRIUMF. Attempts to understand the cause of the discrepancy have been unsuccessful, but possible sources are discussed. The ΔσL and CLL results have been used with other experimental data to extract quantities which depend only on spin-singlet, coupled spin-triplet, and spin-triplet partial waves. Structure is found in these quantities, which appears to be associated with the resonantlike D21 and F33 partial waves. Additional similar structure is also found, which may be due either to the P03 partial wave or the (P23,F23) partial-wave pair.

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ERRORS ARE STATISTICAL ONLY. THERE IS ADDITION OF 2.0 AND 2.1 PCT SYSTEMATICS.

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Measurements of Spin Spin Correlation Parameters Up to 2.5-{GeV}/$c$ Incident Momentum for a Decisive Clarification of the Structure Observed in the $p p$ System

Auer, I.P. ; Colton, E. ; Ditzler, W.R. ; et al.
Phys.Rev.Lett. 51 (1983) 1411, 1983.
Inspire Record 191101 DOI 10.17182/hepdata.20512

Recent data are presented on spin-spin correlation parameters CLL=(L,L;0,0) and CSL=(S,L;0,0) at forward angles from 1.18 to 2.47 GeV/c incident momenta in proton-proton elastic scattering. Values for ΔσL (inelastic) are derived and are shown to disagree with predictions of theoretical models attempting to describe p−p scattering without dibaryon resonances. Finally, the CLL and CSL data discriminate among various phase-shift solutions, and will lead to a clarification of the p−p phase shifts.

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C(LL) = (L, L: 0, 0) MEASUREMENTS AND A STRUCTURE DUE TO A P PARTIAL WAVE IN THE P P SYSTEM

Burleson, G.r. ; Cottingame, W.b. ; Greene, S.j. ; et al.
Nucl.Phys.B 213 (1983) 365-370, 1983.
Inspire Record 191085 DOI 10.17182/hepdata.34015

Measurements of C LL of pp elastic scattering near θ c.m. = 90° at thirteen energies between 300 and 800 MeV are reported. These, together with previous values of C NN , are used to extract values of two quantities, ƒ s and ƒ t , which contain only spin-singlet and only coupled spin-triplet partial waves, respectively. The ƒ s curve, which is not dependent on C LL , exhibits the behavior expected for the previously conjectured 1 D 2 resonance. The ƒ t curve also exhibits a resonance-like behavior, which could be due either to the 3 P 0 or the 3 P 2 partial wave.

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STRUCTURE OBSERVED IN THE SPIN SPIN CORRELATION PARAMETER C(LL) = (L, L, 0, 0) IN P P ELASTIC SCATTERING AROUND THETA (C.M.) = 90-DEGREES IN THE REGION P(LAB) = 2.5-GEV/C - 5.0-GEV/C

Auer, I.P. ; Chang-Fang, C. ; Colton, E. ; et al.
Phys.Rev.Lett. 48 (1982) 1150-1152, 1982.
Inspire Record 180637 DOI 10.17182/hepdata.20626

The spin-spin correlation parameter CLL=(L, L; 0, 0) has been measured for p−p elastic scattering around θc.m.=90° up to plab=5 GeV/c. An interesting energy dependence is observed in CLL and the results are interpreted by comparison with other available data.

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NUMERICAL VALUES OF DATA IN FIGURE SUPPLIED BY A. YOKOSAWA.


Measurement of the Polarization in Large Angle $\pi^- P$ Elastic Scattering at 2.93-{GeV}/c and 3.25-{GeV}/c

Auer, I.P. ; Bridges, D. ; Droege, T. ; et al.
Phys.Rev.D 24 (1981) 1771-1784, 1981.
Inspire Record 172691 DOI 10.17182/hepdata.24055

We have measured the polarization for elastic scattering in the reaction π−p→π−p at 2.93 and 3.25 GeV/c using a polarized proton target and multiwire proportional chambers (MWPC's) with emphasis on large-angle scattering. Events were selected by fast scintillation-counter logic. Beam trajectories were measured with four MWPC's and the scattered-particle angles were measured with one or two MWPC's; elastic events were determined by coplanarity and angle-angle correlations. The polarization is in agreement with previous measurements below |t|=2.0 (GeV/c)2, and crosses from negative to positive near the secondary dip in the differential cross section dσdt. In the backward region, an energy dependence appears with the polarization being large and negative at 2.93 GeV/c and consistent with zero at 3.25 GeV/c.

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POLARIZATION PARAMETERS AND ANGULAR DISTRIBUTIONS IN PI+- P ELASTIC SCATTERING AT 100-GEV/C AND IN P P ELASTIC SCATTERING AT 100-GEV/C AND 300-GEV/C

Kline, R.V. ; Law, M.E. ; Pipkin, F.M. ; et al.
Phys.Rev.D 22 (1980) 553-572, 1980.
Inspire Record 158989 DOI 10.17182/hepdata.24156

Measurements of the polarization parameters and angular distributions are reported for π±p elastic scattering at 100 GeV/c and for pp elastic scattering at 100- and 300-GeV/c incident momentum. The π±p data cover the kinematic range 0.18≤−t≤1.10 GeV2 and are in agreement with current Regge-model predictions. The pp data cover the kinematic range 0.15≤−t≤1.10 GeV2 and 0.15≤−t≤2.00 GeV2 at 100 and 300 GeV/c, respectively, and are found to be consistent with absorption-model predictions.

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THESE ANGULAR DISTRIBUTIONS AND POLARIZATION PARAMETERS ARE TABULATED IN THE RECORD OF THE EARLIER BRIEF REPORT OF THIS EXPERIMENT USING PION BEAMS: I. P. AUER ET AL., PRL 39, 313 (1977).

THESE ANGULAR DISTRIBUTIONS AND POLARIZATION PARAMETERS ARE TABULATED IN THE RECORD OF THE EARLIER BRIEF REPORT OF THIS EXPERIMENT USING A PROTON BEAM: J. H. SNYDER ET AL., PRL 41, 781 (1978) AND PRL 41, 1256(E) (1978).