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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 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.

The nuclear slope parameter B from a fit of the form exp(-Bt-Ct^2-Dt^3). The systematic uncertainty includes experimental and theoretical uncerainties.

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Analyzing power measurements in high‐P2∥ p‐p elastic scattering

Raymond, R.S. ; Brown, K.A. ; Bruni, R.J. ; et al.
AIP Conf.Proc. 123 (1984) 1123-1125, 1984.
Inspire Record 201609 DOI 10.17182/hepdata.18612

The analyzing power in 28 GeV/c proton/proton elastic scattering was measured at P2∥=5.95 and 6.56 (GeV/c)2 using a polarized proton target and an unpolarized proton beam at the Brookhaven National Laboratory AGS. Results indicate that the analyzing power, A, is rising sharply with P2∥.

1 data table match query

No description provided.


High precision measurement of A in large P(T)**2 spin polarized 24-GeV/c proton proton elastic scattering

Crabb, D.G. ; Kaufman, W.A. ; Krisch, A.D. ; et al.
Phys.Rev.Lett. 65 (1990) 3241-3244, 1990.
Inspire Record 299843 DOI 10.17182/hepdata.19939

We measured the analyzing power A out to P⊥2=7.1 (GeV/c)2 with high precision by scattering a 24-GeV/c unpolarized proton beam from the new University of Michigan polarized proton target; the target’s 1-W cooling power allowed a beam intensity of more than 2×1011 protons per pulse. This high beam intensity together with the unexpectedly high average target polarization of about 85% allowed unusually accurate measurements of A at large P⊥2. These precise data confirmed that the one-spin parameter A is nonzero and indeed quite large at high P⊥2; most theoretical models predict that A should go to zero.

1 data table match query

Errors quoted contain both statistical and systematic uncertainties.


Large $p^-$transverse**2 Spin Effects in $p p \to p p$

Peaslee, D.C. ; O'Fallon, J.R. ; Simonius, M. ; et al.
Phys.Rev.Lett. 51 (1983) 2359, 1983.
Inspire Record 192857 DOI 10.17182/hepdata.20491

The analyzing power A in 28-GeV/c proton-proton elastic scattering was measured with a polarized proton target and a high-intensity unpolarized proton beam at the Brook-haven National Laboratory alternating-gradient synchrotron. The P⊥2 range of 2.85 to 5.95 (GeV/c)2 was covered with good precision. A small dip of about -3.5% was found near P⊥2=3.5 (GeV/c)2 where a 24-GeV/c CERN experiment had reported a deep dip of about -16% with large errors. In the previously unexplored large-P⊥2 region near 6 (GeV/c)2 these new large-error points suggest that A may be rising.

1 data table match query

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Spin Effects in $p p$ Elastic Scattering at 28-{GeV}/$c$

Hansen, P.H. ; O'Fallon, J.R. ; Danby, G.T. ; et al.
Phys.Rev.Lett. 50 (1983) 802, 1983.
Inspire Record 182130 DOI 10.17182/hepdata.20535

The analyzing power, A, was measured in proton-proton elastic scattering with use of a polarized proton target and 28-GeV/c primary protons from the alternating-gradient synchrotron. Over the P⊥2 range of 0.5 to 2.8 (GeV/c)2, the data show interesting structure. There is a rather sharp dip at P⊥2=0.8 (GeV/c)2 corresponding to the break in the elastic differential cross section at the end of the diffraction peak.

1 data table match query

No description provided.


Measurement of the Analyzing Power for $p p$ (Polarized) $\to p p$ at $p^-$transverse**2 = 6.5-{GeV}/$c^2$

Cameron, P.R. ; Crabb, D.G. ; DeMuth, G.E. ; et al.
Phys.Rev.D 32 (1985) 3070, 1985.
Inspire Record 216507 DOI 10.17182/hepdata.23543

The spin analyzing power A in 28-GeV/c proton-proton elastic scattering was measured at P⊥2=6.5 (GeV/c)2 using a polarized proton target and a high-intensity unpolarized proton beam at the Brookhaven National Laboratory Alternating Gradient Synchrotron. The result of (24±8)% confirms that the analyzing power is large and rising in the large-P⊥2 region.

1 data table match query

No description provided.


K- p Elastic Scattering Between 1094-MeV/c and 1377-MeV/c

Barber, P.C. ; Broome, T.A. ; Duff, B.G. ; et al.
Nucl.Phys.B 92 (1975) 391-403, 1975.
Inspire Record 98421 DOI 10.17182/hepdata.32031

Differential cross sections for elastic scattering of negative kaons on protons are presented for 13 incident laboratory momenta between 1094 MeV/c and 1377 MeV/c. The data show the characteristic forward diffraction-like peak and backward dip and are adequately described in shape by certain published partial-wave analyses of the N system.

3 data tables match query

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Measurement of Spin Effects in $p$ (Polarized) $p$ (Polarized) $\to p p$ at 18.5-{GeV}/$c$

Crabb, D.G. ; Gialas, I. ; Krisch, A.D. ; et al.
Phys.Rev.Lett. 60 (1988) 2351, 1988.
Inspire Record 261135 DOI 10.17182/hepdata.20096

We measured the analyzing power A and the spin-spin correlation parameter Ann in medium-P⊥2 proton-proton elastic scattering, using a polarized-proton target and the 18.5-GeV/c Brookhaven Alternating-Gradient Synchrotron polarized-proton beam. We found sharp dips in both A and Ann, which occur at different P⊥2 values. The unexpected sharp structure in the spin-spin force occurs near P⊥2=2.3 (GeV/c)2 where the elastic cross section has no apparent structure.

1 data table match query

Errors contain both statistics and systematics.


Energy Dependence of Spin Effects in $p$ (Polarized) $p$ (Polarized) $\to p p$

Court, G.R. ; Crabb, D.G. ; Gialas, I. ; et al.
Phys.Rev.Lett. 57 (1986) 507, 1986.
Inspire Record 229812 DOI 10.17182/hepdata.20190

We measured the analyzing power A and the spin-spin correlation parameter Ann, in large-P⊥2 proton-proton elastic scattering, using a polarized-proton target and the polarized-proton beam at the Brookhaven Alternating-Gradient Synchrotron. We also used our polarimeter to measure A at small P⊥2 at 13 GeV with good precision and found some deviation from the expected 1Plab behavior. At 18.5 GeV/c we found Ann=(−2±16)% at P⊥2=4.7 (GeV/c)2. Comparison with lower-energy data from the Argonne Zero-Gradient Synchrotron shows a sharp and surprising energy dependence for Ann at large P⊥2.

3 data tables match query

POL is error weighted average of polarized beam and target measurements.

POL is error-weighted average of polarized beam and target measurements.

POL is error-weighted average of polarized beam and target measurement.


Asymmetry measurements for elastic scattering of k+ mesons by polarized protons

Ehrlich, R.D. ; Etkin, A. ; Glodis, P. ; et al.
Phys.Rev.Lett. 26 (1971) 925-928, 1971.
Inspire Record 69016 DOI 10.17182/hepdata.21466

We report measured values of the asymmetry in the elastic scattering of K+ mesons from polarized protons. The data were obtained at fourteen incident K+ momenta from 1.33 to 2.58 GeVc; the approximate angular range covered was −0.85<cosθKc.m.<0.9. We compare our results with other available measurements and note several significant differences.

14 data tables match query

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