Proton-deuteron elastic scattering at intermediate and high energies illustrates the importance of the phase variation of the nucleon-nucleon elastic scattering amplitude as in previous work. Two kinds of phase variation are examined. The first is the usual one which is related to free nucleon-free nucleon collisions as suggested by Franco. The second is assumed to be related to the time ordering of multi-scattering processes. The two kinds play similar roles in improving the results. The contributions of both kinds lead to a good fit to the experimental data at the energies considered. The value of the phase variation parameter in each kind (where they are considered together), which gives a good fit to the experimental data, are approximately the same and of order 4 (GeV/ c) -2. Also, with relatively small values of the phase variation parameter, the phase variation effect improves the agreement with the experimental data for the p-4He elastic scattering differential cross section at the minimum region in the energy range 97-393 GeV.
The intermediate-energy optical potential has been calculated using Glauber's theory up to the third order term. Pauli, short-range dynamical and centre-of-mass correlations are considered. The dependence of the volume integral per nucleon and root-mean-square radii on energy of the incident hadron and mass number of the target nucleus are studied. The effect of choosing different forms of the density on the depth of the optical potential and root-mean-square radii is studied. It is found that they are sensitive to the choice of the density. However, the volume integrals per nucleon of the optical potential are found to be not so sensitive to the density, but they are more dependent on the parameters of the hadron-nucleon scattering amplitude. The effect of the difference between free and bound total nucleon-nucleon scattering cross section on the volume integrals per nucleon, RMS radii and the depth of the optical potential are discussed. The effect of higher order correlations is more important in the case of antiparticle than in the case of particle scattering.
In the framework of non-relativistic Glauber theory with the quark model, the time-ordering of quark multi-scattering processes in hadron–proton elastic scattering at FNAL and CERN-ISR ranges of energy is considered. The time-ordering effect in the Glauber approximation with the geometrical scaling property of hadron reactions is presented. The phase variation effect, as suggested by Franco, is also discussed. A cloud effect is taken into account to obtain a good fit with the experimental data of elastic scattering differential cross section in the forward direction. The results obtained for proton–proton scattering at 200, 290, 500, 1070 and 1500 GeV/c lead us to neglect the phase variation effect in this range of energy. At the same time, the time-ordering of quark multi-scattering processes plays an important role in obtaining a good fit in the range of momentum transferred squared where q2 > 3.5 (GeV/c)2. In the case of π−-proton elastic scattering at 200 GeV/c, where the phase variation leads to a good fit with the experimental data, the sensitivity with respect to the time-ordering effect can be observed for q2 > 6 (GeV/c)2.
The total nuclear reaction cross-section σ R for p-4 He in the energy range from 25 MeV to 1000 MeV is calculated within Glauber and Coulomb-modified Glauber models. The Coulomb-modified Glauber model (CMGM) is introduced via modification of the Coulomb trajectory of the projectile from a straight line, and calculation of the effective radius of interaction. The effects of in-medium nucleon-nucleon (NN) total cross-section, phase variation, high order momentum transfer component of nucleon-nucleon elastic scattering amplitude and Pauli blocking are studied. It is pointed out that the phase variation of the nucleon-nucleon amplitude plays a significant role in describing σ R with γ = −1.6 fm 2 at in-medium nuclear density = 0 and γ = −2 fm 2 at = 0.17 fm −3 in the whole energy range. A remarkable fit to the available experimental data is obtained by invoking Pauli blocking and high order momentum transfer of nucleon-nucleon (NN) elastic scattering amplitude for Ep < 100 MeV. Int. J. Mod. Phys. E 2014.23. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ DAVIS on 02/02/15. For personal use only. I. M. A. Tag El-Din, M. M. Taha & S. S. A. Hassanthree decades as well as in the recent years, the total reaction cross-section, σ R , for hadron-nucleus (hA) and nucleus-nucleus (AA) collisions can be considered as a center of attraction of experimental 1-4 and theoretical 5-11 studies. The total reaction cross-section played an important role in a number of problems, such as, nuclear transmutation of long lived radioactive waste into shorter lived products using acceleration driven system (ADS), safety assessment, medical therapy and astrophysics including nucleosynthesis in the early universe for aspects of stellar evolution. [12][13][14] The Glauber multiple scattering model (GMSM) 15 provides a convenient framework for calculating hA integrated cross-sections at intermediate and high energies with invoking different nuclear medium effects. 10,[16][17][18][19] Since evaluation of the complete multiple scattering terms of GMSM is a prohibitively difficult task in most hA and AA collisions. So, the optical limit approximation (OLA) of GMSM, which represents the leading term of the total nuclear phase shift function is a common choice that has been successfully applied for describing hadron scattering from both stable and exotic nuclei. 20-25 It is found that the OLA works reasonably well down to energies of about 30 MeV/nucleon provided that it is suitably modified to account for the deviation of the projectile trajectory due to the Coulomb potential, 26,27 this is known as the Coulomb-modified Glauber model (CMGM).It is well known that a satisfactory agreement for the total reaction crosssections, in comparison with the experimental data for proton-nucleus and AA scattering within OLA was obtained at intermediate and high energies. 28,29 However, these theoretical efforts suffer from some discrepancies, through the low energy range due to the physical effects, which were not included in these investig...
n e elastic-scattering differential cross sections for protons (150-1040 MeV), antiprotons (46.8 and 179.J MeV) and pions (180 and 2b0 MeV) on "C are analysed within the framework of Glauber multiple scattering theory up to the third-order term.Pauli, short-range dynamical and centre-of-mass correlations besides the Coulomb effect are considered. It is found that nucleon-nucleon correlations may play an important role in describing the expenmental data in cases of proton scattering at I.04GeV and antiproton scattering at 179.7MeV. The range of applicability of the Glauber multiple
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