Elastic collisions between light nuclei and the phase variation of the nucleon-nucleon scattering amplitude

1986 ◽  
Vol 34 (2) ◽  
pp. 608-618 ◽  
Author(s):  
Victor Franco ◽  
Yichun Yin
Keyword(s):  
Scattering Amplitude ◽  
Phase Variation ◽  
Nucleon Nucleon ◽  
Light Nuclei ◽  
Nucleon Scattering ◽  
Elastic Collisions

The phase-functions method and scalar amplitude of nucleon–nucleon scattering

2016 ◽  
Vol 25 (11) ◽  
pp. 1650088
Author(s):  
V. I. Zhaba
Keyword(s):  
Single Channel ◽  
Scattering Amplitude ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Computational Method ◽  
Nucleon Scattering ◽  
The Difference ◽  
Scalar Scattering ◽  
Scalar Amplitude ◽  
Phase Functions

A known phase-functions method (PFM) has been considered for calculation of a single-channel nucleon–nucleon scattering. The following partial waves of a nucleon–nucleon scattering have been considered using the phase shifts by PFM: 1S0-, 3P0-, 3P1-, 1D2-, 3F3-states for nn-scattering, 1S0-, 3P0-, 3P1-, 1D2-states for pp-scattering and 1S0-, 1P1-, 3P0-, 3P1-, 1D2-, 3D2-states for np-scattering. The calculations have been carried out using phenomenological nucleon–nucleon Nijmegen group potentials (NijmI, NijmII, Nijm93 and Reid93) and Argonne v18 potential. The scalar scattering amplitude has been calculated using the obtained phase shifts. Our results are not much different from those obtained by using the known phase shifts published in other papers. The difference between calculations depending on a computational method of phase shifts makes: for real (imaginary) parts 0.14–4.36% (0.16–4.05%) for NijmI. 0.02–4.79% (0.08–3.88%) for NijmII. 0.01–5.49% (0.01–4.14%) for Reid93 and 0.01–5.11% (0.01–2.40%) for Argonne v18 potentials.

scholarly journals The deuteron pole in the nucleon-nucleon scattering amplitude

1965 ◽  
Vol 38 (3) ◽  
pp. 1377-1384 ◽  
Author(s):  
H. G. Dosch ◽  
V. F. Müller
Keyword(s):  
Scattering Amplitude ◽  
Nucleon Nucleon ◽  
Nucleon Scattering

Intermediate energy multiple scattering of particles by light α-cluster nuclei

2015 ◽  
Vol 24 (04) ◽  
pp. 1530004 ◽  
Author(s):  
Yu. A. Berezhnoy ◽  
V. P. Mikhailyuk ◽  
V. V. Pilipenko
Keyword(s):  
Scattering Amplitude ◽  
Analytical Calculation ◽  
Nucleon Nucleon ◽  
Intermediate Energy ◽  
Light Nuclei ◽  
Cluster Models ◽  
Multiple Diffraction ◽  
Spin Effects ◽  
Correlation Models ◽  
Explicit Consideration

The survey of cluster models used for the description of the properties of nuclei was carried out. The interaction of intermediate protons with various odd and even nuclei is reviewed. The influence of the clusterization effects on the behavior of the elastic and inelastic scattering observables are demonstrated by using multiple diffraction scattering theory (MDST) and the α-cluster model with dispersion. The comparison of the calculations, based on two- and four-nucleon correlation models, have been performed. The elastic scattering of light nuclei from α-cluster nuclei is analyzed. The results given in this review suggest that the MDST variants based on cluster models seem to be rather attractive as compared with those based on the single-nucleon approximation. Such approaches, considering nucleon and light-nuclei scattering on α-clusters, are among the best examples of using Glauber's MDST, since they automatically include the internal nucleon–nucleon correlations both in the incident and target nuclei. Besides, α-clusters have zero spin and, in this case, the scattering amplitude does not involve explicit consideration of spin–spin effects. Moreover, these models often permit an accurate analytical calculation of the MDST series.

Study of p-4Hetotal reaction cross-section using Glauber and Coulomb-modified Glauber models

2014 ◽  
Vol 23 (03) ◽  
pp. 1450010 ◽  
Author(s):  
Ibrahim M. A. Tag El-Din ◽  
M. M. Taha ◽  
Samia S. A. Hassan
Keyword(s):  
Elastic Scattering ◽  
Energy Range ◽  
Cross Section ◽  
Reaction Cross Section ◽  
Scattering Amplitude ◽  
Phase Variation ◽  
Nucleon Nucleon ◽  
Reaction Cross ◽  
Pauli Blocking ◽  
Elastic Scattering Amplitude

The total nuclear reaction cross-section σRfor p-4He 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 σRwith γ = -1.6 fm2at in-medium nuclear density ϱ = 0 and γ = -2 fm2at ϱ = 0.17 fm-3in 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.

Helicity structure of low-energy nucleon-nucleon scattering amplitude

1972 ◽  
Vol 4 (17) ◽  
pp. 935-939 ◽  
Author(s):  
M. Kawasaki ◽  
M. Yonezawa ◽  
W. Watari
Keyword(s):  
Scattering Amplitude ◽  
Nucleon Nucleon ◽  
Low Energy ◽  
Nucleon Scattering ◽  
Helicity Structure

Phase Variation Effect on Proton - Nucleus Elastic Scattering

1996 ◽  
Vol 49 (3) ◽  
pp. 655 ◽  
Author(s):  
Mohamed A Hassan ◽  
Hamed EA Awd-Allah ◽  
Samia SA Hassan ◽  
Ibrahim MA Tag El-Din
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Phase Variation ◽  
Nucleon Nucleon ◽  
Free Nucleon ◽  
High Energies ◽  
Elastic Scattering Amplitude ◽  
Variation Parameter

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.

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