Elsevier

Annals of Physics

Volume 154, Issue 2, May 1984, Pages 456-516
Annals of Physics

Functional integral representation of the nuclear many-body grand partition function

https://doi.org/10.1016/0003-4916(84)90159-3Get rights and content

Abstract

A local functional integral formulation of the nuclear many-body problem is proposed which is a generalization of the method previously developed [Ann. Phys. (N.Y.)148 (1983), 436; Phys. Rev. C24 (1981), 1029]. Its most interesting feature is that it allows an expansion of the many-body evolution operator around any arbitrary mean-field which takes into account the pairing correlations between the nucleons. This is explicitly illustrated for the nuclear many-body grand partition function for which special attention is paid to the static temperature-dependent Hartree-Fock-Bogolyubov (H.F.B.) approximation. Indeed, the temperature-dependent H.F.B. configuration appears to be the optimal choice from a variational point of view among all the possible independent quasi-particle motion approximations. An analytic approximation of the energy level density p(E,A) is given using explicitly the arbitrariness in the choice of the mean-field and a possible numerical application is proposed. Finally, a new compact formulation of our functional integral that might be useful for future Monte Carlo calculations is proposed.

References (14)

  • A.K. Kerman et al.

    Ann. Phys. (N.Y.)

    (1983)
    A.K. Kerman et al.

    Phys. Rev. C

    (1981)
  • G. Ripka et al.

    Nucl. Phys. A

    (1969)
  • D. Vautherin et al.

    Phys. Lett. B

    (1983)
  • J.W. Negele
  • T. Troudet and S. E. Koonin,...
  • S. Levit

    Phys. Rev. C

    (1980)
  • Y. Alhassid et al.

    Phus. Rev. C

    (1981)
    Y. Alhassid et al.

    Phys. Rev. C

    (1981)
    K.R.S. Devi et al.

    Phys. Rev. Lett.

    (1981)
    T. Troudet et al.

    Phys. Rev. C

    (1983)
There are more references available in the full text version of this article.

Cited by (24)

  • Functional mean field expansion for the many-body initial condition problem

    1989, Physica A: Statistical Mechanics and its Applications
View all citing articles on Scopus

Work supported in part by the National Science Foundation, Grant PHY77-27084.

Present address: Division de Physique Theorique, Institut de Physique Nucleaire, F-91406 Orsay Cedex, France.

View full text