scholarly journals Construction of the scattering amplitude from the differential cross-sections

1969 ◽  
Vol 59 (1) ◽  
pp. 131-152 ◽  
Author(s):  
A. Martin
Keyword(s):  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Differential Cross Sections

HADRON SPIN-FLIP AMPLITUDE AND SLOPE OF DIFFERENTIAL CROSS-SECTIONS

1999 ◽  
Vol 14 (03) ◽  
pp. 223-230 ◽  
Author(s):  
O. V. SELYUGIN
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Previous Analysis ◽  
Differential Cross Sections ◽  
Spin Flip ◽  
Flip Amplitude

A possibility to obtain restrictions of the magnitude of the elastic spin-flip hadron scattering amplitude from accurately measured experimental data on the differential cross-sections of elastic hadron–hadron scattering is shown. Appropriate estimations confirm the previous analysis of experimental data at [Formula: see text] GeV and a probable contribution of the hadron spin-flip amplitude.

An experimental investigation of small angle photon elastic scattering

1979 ◽  
Vol 57 (3) ◽  
pp. 343-352 ◽  
Author(s):  
N. Ramanathan ◽  
T. J. Kennett ◽  
W. V. Prestwich
Keyword(s):  
Experimental Investigation ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Small Angle ◽  
Differential Cross ◽  
Bound States ◽  
Scattering Amplitude ◽  
Form Factors ◽  
Differential Cross Sections

The differential cross sections for photon elastic scattering have been determined for targets of Cu, Cd, Ta, and Pb, at angles of 2.4, 3.5, 5.1., 6.0, 8.0, and 10.0° and incident energies of 244.7, 344.3, 443.9, 778.9, 964.0, 1085.8, 1112.0, 1274.2, and 1408.0 keV. The data indicate that presently calculated form factors may be too large, and suggest that intermediate bound states may influence the scattering amplitude.

scholarly journals Observation of Odderon effects at LHC energies: a real extended Bialas–Bzdak model study

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
T. Csörgő ◽  
I. Szanyi
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Proton Collision ◽  
Differential Cross Sections ◽  
Proton Antiproton ◽  
Proton Proton ◽  
Elastic Proton

AbstractThe unitarily extended Bialas–Bzdak model of elastic proton–proton scattering is applied, without modifications, to describe the differential cross-section of elastic proton–antiproton collisions in the TeV energy range, and to extrapolate these differential cross-sections to LHC energies. In this model-dependent study we find that the differential cross-sections of elastic proton–proton collision data at 2.76 and 7 TeV energies differ significantly from the differential cross-section of elastic proton–antiproton collisions extrapolated to these energies. The elastic proton–proton differential cross-sections, extrapolated to 1.96 TeV energy with the help of this extended Bialas–Bzdak model do not differ significantly from that of elastic proton–antiproton collisions, within the theoretical errors of the extrapolation. Taken together these results provide a model-dependent, but statistically significant evidence for a crossing-odd component of the elastic scattering amplitude at the at least 7.08 sigma level. From the reconstructed Odderon and Pomeron amplitudes, we determine the $$\sqrt{s}$$ s dependence of the corresponding total and differential cross-sections.

STUDY OF THE BREATHING MODE OF THE NUCLEON IN α-p AND p-p SCATTERING

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1699-1705 ◽  
Author(s):  
HANS-PETER MORSCH
Keyword(s):  
Electron Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Valence Quark ◽  
Transition Density ◽  
Mass Region ◽  
Differential Cross Sections ◽  
Roper Resonance ◽  
Quark Contribution

In α-p and p-p scattering at energies in the GeV region a strong "scalar" N* excitation has been observed in the mass region of the lowest P11 resonance, with characteristic properties quite different from the Roper resonance seen in π-N and γ-N. From the t-dependence in p-p scattering a P11 assignment is clearly supported. Further, from exclusive p+p → p p π+ π- data a dominant 2π-N decay of this resonance is deduced. In a DWBA description the differential cross sections were found to be sensitive to the nucleon transition density. To describe all p-p data at beam momenta between 9 and 30 GeV/c a surface peaked transition density had to be utilized. Equivalent information on the charge transition density can be obtained from the longitudinal electron scattering amplitude S1/2, deduced from polarized e-p scattering experiments. Combining the analysis of (p,p') and (e,e'), for the "scalar" P11 we obtain the following results: a) a valence quark excitation is clearly seen, b) strong sea-quark effects are observed, which are significantly larger than the valence quark contribution, c) the sea-quark transition density shows "breathing", indicating that these effects are already present in the g.s. nucleon.

scholarly journals THE EFFECTS OF THE SMALL-t PROPERTIES OF HADRONIC SCATTERING AMPLITUDE ON THE DETERMINATION OF ITS REAL PART

2012 ◽  
Vol 27 (20) ◽  
pp. 1250113 ◽  
Author(s):  
O. V. SELYUGIN
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Differential Cross Sections ◽  
Small Momentum Transfer ◽  
Proton Elastic Scattering ◽  
Spin Flip ◽  
The Impact

Taking into account the different forms of the Coulomb-hadron interference phase and the possible spin-flip contribution the new analysis of the experimental data of the proton–antiproton elastic scattering at 3.8<pL<6.0 GeV/c and small momentum transfer is carried out. It is shown that the size of the spin-flip amplitude can be determined from the form of the differential cross-sections at small-t, and the deviation of ρ(s, t) obtained from the examined experimental data of the [Formula: see text] scattering from the analysis1, based on the dispersion relations, is conserved in all examined assumptions. The analysis of the proton–proton elastic scattering at 9<pL<70 GeV/c also shows the impact of the examined effects on the form of the differential cross-sections.

scholarly journals Exclusive photoproduction of a γ ρ pair with a large invariant mass

2017 ◽  
Vol 2017 (2) ◽  
Author(s):  
R. Boussarie ◽  
B. Pire ◽  
L. Szymanowski ◽  
S. Wallon
Keyword(s):  
Transverse Momentum ◽  
Invariant Mass ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Differential Cross Sections ◽  
Leading Order ◽  
Collinear Factorization

Abstract Exclusive photoproduction of a γ ρ pair in the kinematics where the pair has a large invariant mass and the final nucleon has a small transverse momentum is described in the collinear factorization framework. The scattering amplitude is calculated at leading order in α s and the differential cross sections for the process where the ρ−meson is either longitudinally or transversely polarized are estimated in the kinematics of the JLab 12-GeV experiments.

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