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Title: Ground-state energies, densities and momentum distributions in closed-shell nuclei calculated within a cluster expansion approach and realistic interactions

Abstract

A linked cluster expansion suitable for the treatment of ground-state properties of complex nuclei, as well as of various particle-nucleus scattering processes, has been used to calculate the ground-state energy, density, and momentum distribution of {sup 16}O and {sup 40}Ca in terms of realistic interactions. First, a benchmark calculation for the ground-state energy is performed with the truncated V8{sup '} potential and consisting of the comparison of our results with the ones obtained by the Fermi hypernetted chain approach, adopting in both cases the same mean-field wave functions and the same correlation functions. The results exhibited a nice agreement between the two methods. Therefore the approach has been applied to the calculation of the ground-state energy, density, and momentum distributions of {sup 16}O and {sup 40}Ca by use of the full V8{sup '} potential, and again a satisfactory agreement was found with the results based on more advanced approaches in which higher-order cluster contributions are taken into account. It appears therefore that the cluster expansion approach can provide accurate approximations for various diagonal and nondiagonal density matrices, so that it could be used for a reliable evaluation of nuclear effects in various medium- and high-energy scattering processes off nuclear targets.more » The developed approach can be readily generalized to the treatment of Glauber-type final-state interaction effects in inclusive, semi-inclusive, and exclusive processes off nuclei at medium and high energies.« less

Authors:
;  [1];  [2]
  1. Department of Physics, University of Perugia and Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Via A. Pascoli, I-06123, Perugia (Italy)
  2. Sapporo Gakuin University, Bunkyo-dai 11, Ebetsu 069-8555, Hokkaido (Japan)
Publication Date:
OSTI Identifier:
20699115
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.72.054310; (c) 2005 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; BENCHMARKS; CALCIUM 40; CLUSTER EXPANSION; CLUSTER MODEL; COMPARATIVE EVALUATIONS; CORRELATION FUNCTIONS; DENSITY MATRIX; DISTRIBUTION; ENERGY DENSITY; FINAL-STATE INTERACTIONS; GROUND STATES; MEAN-FIELD THEORY; NUCLEAR MATTER; NUCLEAR POTENTIAL; OXYGEN 16; SCATTERING; SHELL MODELS; WAVE FUNCTIONS

Citation Formats

Alvioli, M., Ciofi degli Atti, C., and Morita, H. Ground-state energies, densities and momentum distributions in closed-shell nuclei calculated within a cluster expansion approach and realistic interactions. United States: N. p., 2005. Web. doi:10.1103/PhysRevC.72.054310.
Alvioli, M., Ciofi degli Atti, C., & Morita, H. Ground-state energies, densities and momentum distributions in closed-shell nuclei calculated within a cluster expansion approach and realistic interactions. United States. doi:10.1103/PhysRevC.72.054310.
Alvioli, M., Ciofi degli Atti, C., and Morita, H. Tue . "Ground-state energies, densities and momentum distributions in closed-shell nuclei calculated within a cluster expansion approach and realistic interactions". United States. doi:10.1103/PhysRevC.72.054310.
@article{osti_20699115,
title = {Ground-state energies, densities and momentum distributions in closed-shell nuclei calculated within a cluster expansion approach and realistic interactions},
author = {Alvioli, M. and Ciofi degli Atti, C. and Morita, H.},
abstractNote = {A linked cluster expansion suitable for the treatment of ground-state properties of complex nuclei, as well as of various particle-nucleus scattering processes, has been used to calculate the ground-state energy, density, and momentum distribution of {sup 16}O and {sup 40}Ca in terms of realistic interactions. First, a benchmark calculation for the ground-state energy is performed with the truncated V8{sup '} potential and consisting of the comparison of our results with the ones obtained by the Fermi hypernetted chain approach, adopting in both cases the same mean-field wave functions and the same correlation functions. The results exhibited a nice agreement between the two methods. Therefore the approach has been applied to the calculation of the ground-state energy, density, and momentum distributions of {sup 16}O and {sup 40}Ca by use of the full V8{sup '} potential, and again a satisfactory agreement was found with the results based on more advanced approaches in which higher-order cluster contributions are taken into account. It appears therefore that the cluster expansion approach can provide accurate approximations for various diagonal and nondiagonal density matrices, so that it could be used for a reliable evaluation of nuclear effects in various medium- and high-energy scattering processes off nuclear targets. The developed approach can be readily generalized to the treatment of Glauber-type final-state interaction effects in inclusive, semi-inclusive, and exclusive processes off nuclei at medium and high energies.},
doi = {10.1103/PhysRevC.72.054310},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}