SIMPLE REACTION STRUCTURES IN A "COMPLICATED" KINEMATIC RANGE

1987 ◽  
Vol 02 (03) ◽  
pp. 739-751 ◽  
Author(s):  
FIROOZ ARASH ◽  
MICHEAL J. MORAVCSIK ◽  
GARY R. GOLDSTEIN

The energy range between 500 and 1000 MeV is usually considered a "complicated" one for elastic proton-proton scattering in which there is no simple description. It is shown that in that energy range, for much of the angular range, two simple features of the magnitudes and relative phases of the invariant amplitudes in the planar transverse frame give a good approximation of the observed data on unpolarized cross section as well as all the various polarization measurements. The features appear to be particularly pronounced at the larger scattering angles and higher energies, thus suggesting a connection with the small distance part of the internucleon force which thus may shed light on the validity of various quark models. Similar regularities also appear in a similar energy and angular range for pion-nucleon scattering. A simple way is presented on a quark level to summarize these regularities.

2012 ◽  
Vol 27 (30) ◽  
pp. 1250175 ◽  
Author(s):  
F. NEMES ◽  
T. CSÖRGŐ

Final results of a detailed analysis of p+p elastic scattering data are presented, utilizing the quark–diquark model of protons in a form proposed by Bialas and Bzdak. The differential cross-section of elastic proton–proton collisions is analyzed in a detailed and systematic manner at small momentum transfers, starting from the energy range of CERN ISR at [Formula: see text], including also recent TOTEM data at the present LHC energies at [Formula: see text]. These studies confirm the picture that the size of proton increases systematically with increasing energies, while the size of the constituent quarks and diquarks remains approximately independent of (or only increases slightly with) the colliding energy. The detailed analysis indicates correlations between model parameters and also indicates an increasing role of shadowing at LHC energies. Within the investigated class of models, a simple and model-independent phenomenological relation was discovered that connects the total p+p scattering cross-section to the effective quark, diquark size and their average separation. Our best fits indicate that the relative error of this phenomenological relation is 10–15% in the considered energy range.


2020 ◽  
Vol 56 (9) ◽  
Author(s):  
Gábor Balassa ◽  
György Wolf

Abstract In this work, we extended our statistical model with charmed and bottomed hadrons, and fit the quark creational probabilities for the heavy quarks, using low energy inclusive charmonium and bottomonium data. With the finalized fit for all the relevant types of quarks (up, down, strange, charm, bottom) at the energy range from a few GeV up to a few tens of GeV’s, the model is now considered complete. Some examples are also given for proton–proton, pion–proton, and proton–antiproton collisions with charmonium, bottomonium, and open charm hadrons in the final state.


2015 ◽  
Vol 2015 ◽  
pp. 1-14 ◽  
Author(s):  
V. A. Okorokov

The diffraction slope parameter is investigated for elastic proton-proton and proton-antiproton scattering based on all the available experimental data at low and intermediate momentum transfer values. Energy dependence of the elastic diffraction slope is approximated by various analytic functions. The expanded “standard” logarithmic approximations with minimum number of free parameters allow description of the experimental slopes in all the available energy range reasonably. The estimations of asymptotic shrinkage parameterαP′are obtained for various|t|domains based on all the available experimental data. Various approximations differ from each other both in the low energy and very high energy domains. Predictions for diffraction slope parameter are obtained for elastic proton-proton scattering from NICA up to future collider (FCC/VLHC) energies, for proton-antiproton elastic reaction in FAIR energy domain for various approximation functions.


1979 ◽  
Vol 150 ◽  
pp. 221-267 ◽  
Author(s):  
E. Nagy ◽  
R.S. Orr ◽  
W. Schmidt-Parzefall ◽  
K. Winter ◽  
A. Brandt ◽  
...  

1974 ◽  
Vol 51 (4) ◽  
pp. 424-428 ◽  
Author(s):  
M.G. Albrow ◽  
D.P. Barber ◽  
A. Bogaerts ◽  
B. Bošnjaković ◽  
J.R. Brooks ◽  
...  

1971 ◽  
Vol 46 (4) ◽  
pp. 1295-1297 ◽  
Author(s):  
Mamoru Kawasaki ◽  
Minoru Yonezawa

2019 ◽  
Vol 2019 ◽  
pp. 1-20
Author(s):  
Xiaoyu Wang ◽  
Zhun Lu

This article presents the review of the current understanding on the pion-nucleon Drell-Yan process from the point of view of the TMD factorization. Using the evolution formalism for the unpolarized and polarized TMD distributions developed recently, we provide the theoretical expression of the relevant physical observables, namely, the unpolarized cross section, the Sivers asymmetry, and the cos⁡2ϕ asymmetry contributed by the double Boer-Mulders effects. The corresponding phenomenology, particularly at the kinematical configuration of the COMPASS πN Drell-Yan facility, is displayed numerically.


1981 ◽  
Vol 36 (12) ◽  
pp. 1261-1275
Author(s):  
M. Sawicki ◽  
D. Schütte

Abstract The multichannel scattering theory is applied to the (2,2) sector of the (non-static) Lee model. Rigorous expressions for the transition amplitudes for two-fragments channels are derived. These expressions contain all effects of off-shell renormalization in a complete and consistent way. With suitable identification of the elementary fields of the model the reactions considered correspond to a simplified description of elastic proton-proton and pion-deuteron scattering and to pion absorption on the deuteron. We obtain a two-body equation for the description of the elastic proton-proton scattering and an extension of the two-potential formula for the pion-deuteron scattering, which can be cast into the form of the multiple-scattering series.


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