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Title: Microscopic model analysis of {sup 11}Li+p elastic scattering at 62, 68.4, and 75 MeV/nucleon

Abstract

{sup 11}Li+p elastic scattering data at three energies, 62, 68.4, and 75 MeV/nucleon, are analyzed with density-dependent M3Y and KH effective nucleon-nucleon (NN) interactions in the framework of the single folding model. The parameters of the density-dependent term are adjusted to fulfill saturation of nuclear matter. The optical potentials (OP's) and cross sections are calculated using four model densities of {sup 11}Li, G (one-parameter Gaussian), GG (Gaussian-Gaussian), GO (Gaussian- oscillator), and the COSMA (cluster orbital shell model approximation). Comparative studies are performed for real, imaginary, and spin-orbit potentials with the phenomenological and microscopic forms. The microscopic volume and surface imaginary potentials are constructed from both the renormalized folded potentials and their derivatives. The sensitivity of the differential cross section to the four densities is tested. It is found that the {sup 11}Li+p elastic scattering cross sections depend strongly upon the behavior of the corresponding potentials. The GG and GO densities obtained from analyzing the data, using Glauber multiple scattering theory at high energies, give good results at energies below 100 MeV/nucleon in the framework of the folding model. The OP's calculated in the microscopic form using few parameters give good agreement with the data. Thus, it is not necessary tomore » introduce a large number of arbitrary fitting parameters as done in the phenomenological and semimicroscopic OP's. The KH effective interaction successfully describes {sup 11}Li+p elastic scattering as the popular M3Y interaction. The obtained results of the reaction cross section are in good agreement with previous calculations.« less

Authors:
; ;  [1];  [1]
  1. Physics Department, Faculty of Science, Cairo University, Cairo (Egypt)
Publication Date:
OSTI Identifier:
21199510
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 79; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.79.014612; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; DENSITY; DIFFERENTIAL CROSS SECTIONS; ELASTIC SCATTERING; FOLDING MODEL; LITHIUM 11; MEV RANGE 10-100; MULTIPLE SCATTERING; NUCLEAR MATTER; NUCLEON-NUCLEON INTERACTIONS; NUCLEONS; ORBITS; OSCILLATORS; PROTON REACTIONS; SATURATION; SENSITIVITY; SHELL MODELS; SIMULATION; SPIN; SURFACES

Citation Formats

Hassan, M Y. M., Farag, M Y. H., Esmael, E H, Maridi, H M, and National Atomic Energy Commission, Sana'a. Microscopic model analysis of {sup 11}Li+p elastic scattering at 62, 68.4, and 75 MeV/nucleon. United States: N. p., 2009. Web. doi:10.1103/PHYSREVC.79.014612.
Hassan, M Y. M., Farag, M Y. H., Esmael, E H, Maridi, H M, & National Atomic Energy Commission, Sana'a. Microscopic model analysis of {sup 11}Li+p elastic scattering at 62, 68.4, and 75 MeV/nucleon. United States. https://doi.org/10.1103/PHYSREVC.79.014612
Hassan, M Y. M., Farag, M Y. H., Esmael, E H, Maridi, H M, and National Atomic Energy Commission, Sana'a. 2009. "Microscopic model analysis of {sup 11}Li+p elastic scattering at 62, 68.4, and 75 MeV/nucleon". United States. https://doi.org/10.1103/PHYSREVC.79.014612.
@article{osti_21199510,
title = {Microscopic model analysis of {sup 11}Li+p elastic scattering at 62, 68.4, and 75 MeV/nucleon},
author = {Hassan, M Y. M. and Farag, M Y. H. and Esmael, E H and Maridi, H M and National Atomic Energy Commission, Sana'a},
abstractNote = {{sup 11}Li+p elastic scattering data at three energies, 62, 68.4, and 75 MeV/nucleon, are analyzed with density-dependent M3Y and KH effective nucleon-nucleon (NN) interactions in the framework of the single folding model. The parameters of the density-dependent term are adjusted to fulfill saturation of nuclear matter. The optical potentials (OP's) and cross sections are calculated using four model densities of {sup 11}Li, G (one-parameter Gaussian), GG (Gaussian-Gaussian), GO (Gaussian- oscillator), and the COSMA (cluster orbital shell model approximation). Comparative studies are performed for real, imaginary, and spin-orbit potentials with the phenomenological and microscopic forms. The microscopic volume and surface imaginary potentials are constructed from both the renormalized folded potentials and their derivatives. The sensitivity of the differential cross section to the four densities is tested. It is found that the {sup 11}Li+p elastic scattering cross sections depend strongly upon the behavior of the corresponding potentials. The GG and GO densities obtained from analyzing the data, using Glauber multiple scattering theory at high energies, give good results at energies below 100 MeV/nucleon in the framework of the folding model. The OP's calculated in the microscopic form using few parameters give good agreement with the data. Thus, it is not necessary to introduce a large number of arbitrary fitting parameters as done in the phenomenological and semimicroscopic OP's. The KH effective interaction successfully describes {sup 11}Li+p elastic scattering as the popular M3Y interaction. The obtained results of the reaction cross section are in good agreement with previous calculations.},
doi = {10.1103/PHYSREVC.79.014612},
url = {https://www.osti.gov/biblio/21199510}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 1,
volume = 79,
place = {United States},
year = {Thu Jan 15 00:00:00 EST 2009},
month = {Thu Jan 15 00:00:00 EST 2009}
}