Pairing effects in nuclear collective motion: Generator coordinate method

Journal Article · Wed May 01 04:00:00 EDT 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.2200· OSTI ID:5590604

Bertsch, G ^[1]; Flocard, H ^[2]

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1. Department of Physics and Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 (USA)
2. Division de Physique Theorique, Institut de Physique Nucleaire, 91406 Orsay CEDEX, France (FR)

The generator coordinate method for nuclear collective motion is studied in a simple model in which the dynamics is governed by the pairing interaction alone. A formula is derived for the overlap correlation length which exhibits the correct empirical dependence on nucleus mass number, pairing gap, and quadrupole deformation. The same analysis applied to the quadrupole inertia parameter provides an expression proportional to the square of the pairing gap, the same functional form as obtained from the cranking model. However, the simplified model differs numerically by a factor 2 to 4 from the results of a complete Hartree-Fock BCS calculation. The spectrum is well described by a hopping model based on the Hartree-Fock single-particle properties.

• OSTI ID: 5590604
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 43:5; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE MODEL
CRANKING MODEL
DEFORMED NUCLEI
ENERGY
FERMI GAS MODEL
FUNCTIONS
GENERATOR-COORDINATE METHOD
HAMILTONIANS
HARTREE-FOCK METHOD
INTERACTIONS
KINETIC ENERGY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEI
PAIRING INTERACTIONS
PARTICLE MODELS
QUADRUPOLE MOMENTS
QUANTUM OPERATORS
SINGLE-PARTICLE MODEL
WAVE FUNCTIONS