Nuclear matter properties from a separable representation of the Paris interaction

Journal Article · Sun Apr 01 00:00:00 EST 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.41.1748· OSTI ID:7187027

Baldo, M; Bombaci, I; Giansiracusa, G; Lombardo, U ^[1]; Mahaux, C; Sartor, R ^[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)

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.

• OSTI ID: 7187027
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Vol. 41:4; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

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