Computer program for the relativistic mean field description of the ground state properties of even-even axially deformed nuclei

P. Ring, Y. K. Gambhir, G. A. Lalazissis

Research output: Contribution to journalArticle

116 Citations (Scopus)

Abstract

We present a Fortran program for the calculation of the ground state properties of axially deformed even-even nuclei in the framework of Relativistic Mean Field Theory (RMF). In this approach a set of coupled partial differentials has to be solved self-consistently: the Dirac equation for the nucleons moving in self-consistent fields and the Klein-Gordon equations for the meson fields and the electromagnetic field, whose sources are scalar and vector densities determined of the nucleons. For this purpose the Dirac spinors as well as the meson fields are expanded in terms of anisotropic oscillator wave functions in cylindrical coordinates. This requires a matrix diagonalization for the solution of the Dirac equations and the solution of an inhomogeneous matrix equation for the meson fields. For the determination of the Coulomb field the Greens function method is used.

Original languageEnglish
Pages (from-to)77-97
Number of pages21
JournalComputer Physics Communications
Volume105
Issue number1
DOIs
Publication statusPublished - 1997

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Ground state
Computer program listings
mesons
Dirac equation
computer programs
nucleons
Mean field theory
nuclei
ground state
Wave functions
Green's function
Electromagnetic fields
even-even nuclei
cylindrical coordinates
Klein-Gordon equation
self consistent fields
electromagnetic fields
Green's functions
oscillators
wave functions

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Physics and Astronomy(all)

Cite this

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abstract = "We present a Fortran program for the calculation of the ground state properties of axially deformed even-even nuclei in the framework of Relativistic Mean Field Theory (RMF). In this approach a set of coupled partial differentials has to be solved self-consistently: the Dirac equation for the nucleons moving in self-consistent fields and the Klein-Gordon equations for the meson fields and the electromagnetic field, whose sources are scalar and vector densities determined of the nucleons. For this purpose the Dirac spinors as well as the meson fields are expanded in terms of anisotropic oscillator wave functions in cylindrical coordinates. This requires a matrix diagonalization for the solution of the Dirac equations and the solution of an inhomogeneous matrix equation for the meson fields. For the determination of the Coulomb field the Greens function method is used.",
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Computer program for the relativistic mean field description of the ground state properties of even-even axially deformed nuclei. / Ring, P.; Gambhir, Y. K.; Lalazissis, G. A.

In: Computer Physics Communications, Vol. 105, No. 1, 1997, p. 77-97.

Research output: Contribution to journalArticle

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AU - Ring, P.

AU - Gambhir, Y. K.

AU - Lalazissis, G. A.

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AB - We present a Fortran program for the calculation of the ground state properties of axially deformed even-even nuclei in the framework of Relativistic Mean Field Theory (RMF). In this approach a set of coupled partial differentials has to be solved self-consistently: the Dirac equation for the nucleons moving in self-consistent fields and the Klein-Gordon equations for the meson fields and the electromagnetic field, whose sources are scalar and vector densities determined of the nucleons. For this purpose the Dirac spinors as well as the meson fields are expanded in terms of anisotropic oscillator wave functions in cylindrical coordinates. This requires a matrix diagonalization for the solution of the Dirac equations and the solution of an inhomogeneous matrix equation for the meson fields. For the determination of the Coulomb field the Greens function method is used.

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