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Phenomenological three-parameter nucleon-nucleon potential for symmetric nuclei ( N = Z ) from Z = 2 to infinity

Phenomenological three-parameter nucleon-nucleon potential for symmetric nuclei ( N = Z ) from Z... In order to study collective instabilities in symmetric nuclear matter, a simple phenomenological nucleon-nucleon finite-range potential with three adjustable parameters is proposed. The three parameters are the attractive strength, the attractive range, and the (zero range) repulsive strength. The potential reproduces the binding energy, equilibrium density, compressibility modulus, and the effective mass of nuclear matter, as well as the binding energies of 4 He , 16 O , and 40 Ca . The latter conditions are crucial for preventing spurious “quasicrystallization” effects in nuclear matter. With this potential and a ( 2 + 1 ) -D deformed oscillator basis, variational Hartree-Fock calculations extending over the configuration space of the lowest 55 orbitals were performed for spin-zero, isospin-zero light nuclei up to A = 80. Large ground-state deformations and exotic nuclear shapes were found for many nuclei. Implications for their rotational spectra are discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review C American Physical Society (APS)

Phenomenological three-parameter nucleon-nucleon potential for symmetric nuclei ( N = Z ) from Z = 2 to infinity

Physical Review C , Volume 64 (1) – Jul 1, 2001
26 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2001 The American Physical Society
ISSN
1089-490X
DOI
10.1103/PhysRevC.64.014302
Publisher site
See Article on Publisher Site

Abstract

In order to study collective instabilities in symmetric nuclear matter, a simple phenomenological nucleon-nucleon finite-range potential with three adjustable parameters is proposed. The three parameters are the attractive strength, the attractive range, and the (zero range) repulsive strength. The potential reproduces the binding energy, equilibrium density, compressibility modulus, and the effective mass of nuclear matter, as well as the binding energies of 4 He , 16 O , and 40 Ca . The latter conditions are crucial for preventing spurious “quasicrystallization” effects in nuclear matter. With this potential and a ( 2 + 1 ) -D deformed oscillator basis, variational Hartree-Fock calculations extending over the configuration space of the lowest 55 orbitals were performed for spin-zero, isospin-zero light nuclei up to A = 80. Large ground-state deformations and exotic nuclear shapes were found for many nuclei. Implications for their rotational spectra are discussed.

Journal

Physical Review CAmerican Physical Society (APS)

Published: Jul 1, 2001

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