PAIRING CORRELATIONS IN FINITE SYSTEMS

Journal Article · Sun Mar 01 04:00:00 EST 1964 · Proc. Phys. Soc. (London)

DOI:https://doi.org/10.1088/0370-1328/83/3/301· OSTI ID:4061218

Flowers, B H; Irvine, J M

The Bardeen-- Cooper-- Schrieffer wave function suffers from the drawback, particularly restrictive in systems containing few fermions, that it fails to conserve particle number. In the case of a nucleus it is also difficult to conserve spin and isobaric spin. A variational wave function is proposed that, by allowing for the explicit excitation of pairs, conserves particle number, and it is shown that an energy gap results when pairing forces act between the panticles. Many of the features characteristic of the Bardeen- Cooper- Schrieffer treatment can be reproduced for a finlte system even when the excitntion of only one pair is allowed. In a more general form the wave function can be used to describe neutrons and protons interacting through charge- independent forces. A preliminary estimate is made by these means of the purity of the closedshell structure of the O/sup 16/ ground state in the presence of pairing forces. (auth)

• Research Organization: Univ. of Manchester, Eng.
• NSA Number: NSA-18-017084
• OSTI ID: 4061218
• Journal Information: Proc. Phys. Soc. (London), Journal Name: Proc. Phys. Soc. (London) Vol. Vol: 83
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BCS THEORY
BINDING ENERGY
CONFIGURATION
ELECTRIC CHARGES
ELECTROHYDRODYNAMICS
ENERGY LEVELS
EXCITATION
FERMIONS
INSTRUMENTS
INTERACTIONS
ISOSPIN
LOSSES
MAGNETIC FIELDS
NEUTRONS
NUCLEAR MODELS
OXYGEN 16
PAIRING ENERGY
PHYSICS
PLANNING
POWER
PRESSURE
PROTONS
QUANTUM MECHANICS
SHELL MODELS
SPIN
SUPERCONDUCTIVITY
TEMPERATURE