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Title: Nuclear reaction cross sections of exotic nuclei in the Glauber model for relativistic mean field densities

Abstract

We have calculated the total nuclear reaction cross sections of exotic nuclei in the framework of the Glauber model, using as inputs the standard relativistic mean field (RMF) densities and the densities obtained from the more recently developed effective-field-theory-motivated RMF (the E-RMF). Both light and heavy nuclei are taken as the representative targets, and the light neutron-rich nuclei as projectiles. We found the total nuclear reaction cross section to increase as a function of the mass number, for both the target and projectile nuclei. The differential nuclear elastic scattering cross sections are evaluated for some selected systems at various incident energies. We found a large dependence of the differential elastic scattering cross section on incident energy. Finally, we have applied the same formalism to calculate both the total nuclear reaction cross section and the differential nuclear elastic scattering cross section for the recently discussed superheavy nucleus with atomic number Z=122.

Authors:
 [1];  [2];  [3];  [4]
  1. Institute of Physics, Sachivalaya Marg, Bhubaneswar-751 005 (India)
  2. Department of Physics, ITER, Siksha 'O' Anusandhan University, Bhubaneswar-751 030 (India)
  3. Department of Physics, Indian Institute of Technology, Roorkee-247 667 (India)
  4. Department of Physics, Panjab University, Chandigarh-160 014 (India)
Publication Date:
OSTI Identifier:
21296593
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 80; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.80.064602; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ATOMIC NUMBER; CROSS SECTIONS; ELASTIC SCATTERING; FIELD THEORIES; HEAVY NUCLEI; LIGHT NUCLEI; MASS NUMBER; MEAN-FIELD THEORY; NEUTRON-RICH ISOTOPES; NUCLEAR REACTIONS; PROJECTILES; RELATIVISTIC RANGE

Citation Formats

Patra, S. K., Panda, R. N., Arumugam, P., and Gupta, Raj K. Nuclear reaction cross sections of exotic nuclei in the Glauber model for relativistic mean field densities. United States: N. p., 2009. Web. doi:10.1103/PHYSREVC.80.064602.
Patra, S. K., Panda, R. N., Arumugam, P., & Gupta, Raj K. Nuclear reaction cross sections of exotic nuclei in the Glauber model for relativistic mean field densities. United States. doi:10.1103/PHYSREVC.80.064602.
Patra, S. K., Panda, R. N., Arumugam, P., and Gupta, Raj K. Tue . "Nuclear reaction cross sections of exotic nuclei in the Glauber model for relativistic mean field densities". United States. doi:10.1103/PHYSREVC.80.064602.
@article{osti_21296593,
title = {Nuclear reaction cross sections of exotic nuclei in the Glauber model for relativistic mean field densities},
author = {Patra, S. K. and Panda, R. N. and Arumugam, P. and Gupta, Raj K.},
abstractNote = {We have calculated the total nuclear reaction cross sections of exotic nuclei in the framework of the Glauber model, using as inputs the standard relativistic mean field (RMF) densities and the densities obtained from the more recently developed effective-field-theory-motivated RMF (the E-RMF). Both light and heavy nuclei are taken as the representative targets, and the light neutron-rich nuclei as projectiles. We found the total nuclear reaction cross section to increase as a function of the mass number, for both the target and projectile nuclei. The differential nuclear elastic scattering cross sections are evaluated for some selected systems at various incident energies. We found a large dependence of the differential elastic scattering cross section on incident energy. Finally, we have applied the same formalism to calculate both the total nuclear reaction cross section and the differential nuclear elastic scattering cross section for the recently discussed superheavy nucleus with atomic number Z=122.},
doi = {10.1103/PHYSREVC.80.064602},
journal = {Physical Review. C, Nuclear Physics},
number = 6,
volume = 80,
place = {United States},
year = {Tue Dec 15 00:00:00 EST 2009},
month = {Tue Dec 15 00:00:00 EST 2009}
}
  • We study nuclear reaction cross sections for stable and unstable projectiles and targets within Glauber model, using densities obtained from various relativistic mean-field formalisms. The calculated cross sections are compared with the experimental data in some specific cases. We also evaluate the differential scattering cross sections at several incident energies and observe that the results found from various densities are similar at smaller scattering angles, whereas a systematic deviation is noticed at large angles. In general, these results agree fairly well with the experimental data.
  • The reaction cross sections for the interaction of exotic nuclei {sup 6}He and {sup 11}Li with {sup 12}C nuclei are calculated for energies of about 0.8 GeV per nucleon. The cross sections calculated by the exact Glauber formula are compared with their counterparts found by using the formulas of the optical limit, the rigidtarget approximation, and the few-body approximation. The effect of the structure of the nuclei being considered on the calculated cross sections is examined. The root-mean-square radii of the {sup 6}He and {sup 11}Li nuclei are estimated on the basis of experimental data on the cross sections formore » the interaction of these exotic nuclei with {sup 12}C nuclei.« less
  • The neutron rich Zr isotopes are studied in a relativistic mean-field approach. A transition from spherical to strongly deformed shapes is obtained around [ital A][congruent]100 and ground state deformations are found, which are in size close to superdeformed shapes. Furthermore, very large radii are predicted in the vicinity of the neutron drip line due to the combined effects of deformation and neutron excess.
  • A simple closed-form analytic expression for the heavy-ion reaction cross section, involving nuclear densities of colliding ions and the nucleon-nucleon cross section, has been obtained within the framework of the Glauber model modified for the Coulomb field effect. Reaction cross sections for a large number of heavy-ion systems have been predicted reasonably well over an energy range beginning with the Coulomb barrier to a few GeV/nucleon.
  • A novel way of determining the Hamiltonian of the interacting boson model (IBM) is proposed. Based on the fact that the potential energy surface of the mean-field model, e.g., the Skyrme model, can be simulated by that of the IBM, parameters of the IBM Hamiltonian are obtained. By this method, the multifermion dynamics of surface deformation can be mapped, in a good approximation, onto a boson system. The validity of this process is examined for Sm and Ba isotopes, and an application is presented to an unexplored territory of the nuclear chart, namely, the right lower corner of {sup 208}Pb.