Method to circumvent the neutron-gas problem in the BCS treatment for nuclei far from stability
- Department of Physics, Graduate School of Science, Kyushu University, Fukuoka 812-8581 (Japan)
Extending the Kruppa's prescription for the continuum level density, we have recently improved the BCS method with seniority-type pairing force in such a way that the effects of discretized unbound states are properly taken into account for finite depth single-particle potentials. In this paper, it is further shown, by employing the Woods-Saxon potential, that the calculation of spatial observables, such as nuclear radius, converges as increasing the basis size in the harmonic oscillator expansion. Namely the disastrous problem of a ''particle gas'' surrounding nucleus in the BCS treatment can be circumvented. In spite of its simplicity, the new treatment gives similar results to those by more elaborate Hartree-Fock-Bogoliubov calculations, e.g., it even mimics the pairing antihalo effect. The obtained results as well as the reason of convergence in the new method are investigated by a variant of the Thomas-Fermi approximation within the limited phase space which corresponds to the harmonic oscillator basis truncation.
- OSTI ID:
- 21421033
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevC.82.034310; (c) 2010 The American Physical Society; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
APPROXIMATIONS
BCS THEORY
CONVERGENCE
ENERGY-LEVEL DENSITY
EXPANSION
HARMONIC OSCILLATORS
HARTREE-FOCK-BOGOLYUBOV THEORY
NEUTRONS
NUCLEI
PHASE SPACE
STABILITY
THOMAS-FERMI MODEL
WOODS-SAXON POTENTIAL
ATOMIC MODELS
BARYONS
CALCULATION METHODS
ELEMENTARY PARTICLES
FERMIONS
HADRONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
NUCLEAR POTENTIAL
NUCLEONS
POTENTIALS
SPACE