Optimal auxiliary Hamiltonians for truncated boson-space calculations by means of a maximal-decoupling variational principle

Journal Article · Sun Sep 01 04:00:00 EDT 1991 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.44.1040· OSTI ID:5244238

Li, C ^[1]

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1. Department of Physics, National Taiwan University, Taipei, Taiwan 10764 (Republic of China)

A new method based on a maximal-decoupling variational principle is proposed to treat the Pauli-principle constraints for calculations of nuclear collective motion in a truncated boson space. The viability of the method is demonstrated through an application to the multipole form of boson Hamiltonians for the single-{ital j} and nondegenerate multi-{ital j} pairing interactions. While these boson Hamiltonians are Hermitian and contain only one- and two-boson terms, they are also the worst case for truncated boson-space calculations because they are not amenable to any boson truncations at all. By using auxiliary Hamiltonians optimally determined by the maximal-decoupling variational principle, however, truncations in the boson space become feasible and even yield reasonably accurate results. The method proposed here may thus be useful for doing realistic calculations of nuclear collective motion as well as for obtaining a viable interacting-boson-model type of boson Hamiltonian from the shell model.

• OSTI ID: 5244238
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 44:3; 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
CALCULATION METHODS
COLLECTIVE EXCITATIONS
ENERGY-LEVEL TRANSITIONS
EXCITATION
FOCK REPRESENTATION
HAMILTONIANS
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEAR STRUCTURE
QUANTUM OPERATORS
SHELL MODELS
VARIATIONAL METHODS