Boson mappings applied to the two-color delta model

Journal Article · Wed Apr 01 00:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.45.1871· OSTI ID:7113884

Dukelsky, J ^[1]; Pittel, S ^[2]

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1. Departamento de Fisica Teorica, Universidad Autonoma de Madrid, 28049 Madrid (Spain)
2. Bartol Research Institute, University of Delaware, Newark, Delaware 19716 (United States)

We study several aspects of a two-color delta model of interacting quarks, with the purpose of extracting information of relevance to real quark models of nuclei. We first describe a BCS treatment of the quark pair correlations that arise in the model at low densities and demonstrate that the rms radius of the dominant correlated pairs increases in the presence of the medium. We then consider the application of a Dyson boson mapping to the model and show that it incorporates, at the level of the Hartree-Bose approximation, the pair clustering dynamics of quark BCS. However, the collective bosons that emerge do not have the same structure as the correlated BCS pairs. The mapping also leads to a short-range repulsive interaction between the collective bosons, which we derive in both momentum and coordinate space. The additional correlations that result from this repulsive boson interaction can in principle be incorporated through a Brueckner treatment of the mapped boson Hamiltonian.

• OSTI ID: 7113884
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 45:4; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARK MODEL
BCS THEORY
BRUECKNER MODEL
CLUSTER MODEL
INTERACTING BOSON MODEL
MAPPING
NUCLEON-NUCLEON INTERACTIONS
QUARKS
BARYON-BARYON INTERACTIONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
SHELL MODELS
663120* - Nuclear Structure Models & Methods- (1992-)
662240 - Models for Strong Interactions- (1992-)