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Title: Nuclear matter properties from a separable representation of the Paris interaction

Abstract

A separable representation of the Paris interaction is used as input for the investigation of various nuclear matter properties. The faithfulness of the separable representation is checked by comparison with results previously obtained from the original Paris interaction. Calculations are performed for four different values of the Fermi momentum, namely {ital k}{sub {ital F}}=1.10, 1.36, 1.55, and 1.75 fm{sup {minus}1}. One evaluates the contributions to the quasiparticle potential energy that are of first, second, and third order in the reaction matrix. The momentum distribution {ital n}({ital k}) in the correlated ground state is calculated up to second order in the reaction matrix. For 0{lt}{ital k}{lt}2 fm{sup {minus}1}, it mainly depends upon the ratio {ital k}/{ital k}{sub {ital F}}; in the domain 2{lt}{ital k}{lt}4.5 fm{sup {minus}1}, it is accurately reproduced by the expression 1/7{ital k}{sub {ital F}}{sup 5}{ital e{minus}1.6{ital k}}, with {ital k} and {ital k}{sub {ital F}} in units of fm{sup {minus}1}. The quasiparticle strength at the Fermi surface is calculated, as well as the mean-square deviation of the one-body density matrix from that of the unperturbed Fermi sea: This quantity gives an estimate of the minimum value of the norm of the difference between the one-body density matrix ofmore » a correlated nucleus and that associated with any Slater determinant. The average kinetic energy per nucleon is evaluated. Various contributions to the average binding energy per nucleon are investigated in the framework of Brueckner's expansion; particular attention is paid to the dependence of the calculated binding energy upon the choice of the auxiliary'' potential which is added to and subtracted from the Hamiltonian before performing the expansion. One also evaluates diagrams that are characteristic of the difference between the Green's function and the Brueckner hole-line expansions.« less

Authors:
; ; ;  [1]; ;  [2]
  1. Dipartimento di Fisica, Universita di Catania, Catania (Italy) Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Corso Italia, 57, I-95129 Catania (Italy)
  2. Institut de Physique B5, Universite de Liege, B-4000 Liege 1 (Belgium)
Publication Date:
OSTI Identifier:
7187027
Resource Type:
Journal Article
Journal Name:
Physical Review, C (Nuclear Physics); (USA)
Additional Journal Information:
Journal Volume: 41:4; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR MATTER; NUCLEON-NUCLEON POTENTIAL; BINDING ENERGY; FERMI LEVEL; GREEN FUNCTION; HAMILTONIANS; HARTREE-FOCK METHOD; KINETIC ENERGY; QUASI PARTICLES; SHELL MODELS; SINGLE-PARTICLE MODEL; ENERGY; ENERGY LEVELS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATTER; NUCLEAR MODELS; PARTICLE MODELS; POTENTIALS; QUANTUM OPERATORS; 653002* - Nuclear Theory- Nuclear Matter

Citation Formats

Baldo, M, Bombaci, I, Giansiracusa, G, Lombardo, U, Mahaux, C, and Sartor, R. Nuclear matter properties from a separable representation of the Paris interaction. United States: N. p., 1990. Web. doi:10.1103/PhysRevC.41.1748.
Baldo, M, Bombaci, I, Giansiracusa, G, Lombardo, U, Mahaux, C, & Sartor, R. Nuclear matter properties from a separable representation of the Paris interaction. United States. https://doi.org/10.1103/PhysRevC.41.1748
Baldo, M, Bombaci, I, Giansiracusa, G, Lombardo, U, Mahaux, C, and Sartor, R. 1990. "Nuclear matter properties from a separable representation of the Paris interaction". United States. https://doi.org/10.1103/PhysRevC.41.1748.
@article{osti_7187027,
title = {Nuclear matter properties from a separable representation of the Paris interaction},
author = {Baldo, M and Bombaci, I and Giansiracusa, G and Lombardo, U and Mahaux, C and Sartor, R},
abstractNote = {A separable representation of the Paris interaction is used as input for the investigation of various nuclear matter properties. The faithfulness of the separable representation is checked by comparison with results previously obtained from the original Paris interaction. Calculations are performed for four different values of the Fermi momentum, namely {ital k}{sub {ital F}}=1.10, 1.36, 1.55, and 1.75 fm{sup {minus}1}. One evaluates the contributions to the quasiparticle potential energy that are of first, second, and third order in the reaction matrix. The momentum distribution {ital n}({ital k}) in the correlated ground state is calculated up to second order in the reaction matrix. For 0{lt}{ital k}{lt}2 fm{sup {minus}1}, it mainly depends upon the ratio {ital k}/{ital k}{sub {ital F}}; in the domain 2{lt}{ital k}{lt}4.5 fm{sup {minus}1}, it is accurately reproduced by the expression 1/7{ital k}{sub {ital F}}{sup 5}{ital e{minus}1.6{ital k}}, with {ital k} and {ital k}{sub {ital F}} in units of fm{sup {minus}1}. The quasiparticle strength at the Fermi surface is calculated, as well as the mean-square deviation of the one-body density matrix from that of the unperturbed Fermi sea: This quantity gives an estimate of the minimum value of the norm of the difference between the one-body density matrix of a correlated nucleus and that associated with any Slater determinant. The average kinetic energy per nucleon is evaluated. Various contributions to the average binding energy per nucleon are investigated in the framework of Brueckner's expansion; particular attention is paid to the dependence of the calculated binding energy upon the choice of the auxiliary'' potential which is added to and subtracted from the Hamiltonian before performing the expansion. One also evaluates diagrams that are characteristic of the difference between the Green's function and the Brueckner hole-line expansions.},
doi = {10.1103/PhysRevC.41.1748},
url = {https://www.osti.gov/biblio/7187027}, journal = {Physical Review, C (Nuclear Physics); (USA)},
issn = {0556-2813},
number = ,
volume = 41:4,
place = {United States},
year = {Sun Apr 01 00:00:00 EST 1990},
month = {Sun Apr 01 00:00:00 EST 1990}
}