Quark cluster model for nuclear matter through variational approach

Tosa, S.

doi:10.1103/physrevc.34.2302

Cited by 10 publications

(8 citation statements)

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“…In the present work, we focus on one such model [7,8], due to Koltun and collaborators, in which quarks (with color) move in one dimension (1D) and interact through a residual attractive delta-function potential. Despite the fact that nuclei live in a three-dimensional world, this model can, nevertheless, give important insight into how quarks cluster into nucleons within a nuclear environment.…”

Section: Introductionmentioning

confidence: 99%

“…To date, the best approximate treatment of the twocolor delta model has been based on the BCS approximation [9]. As emphasized by Tosa [8], the BCS equations of this model have a simple scaling property that permits a systematic solution of the BCS equations in powers of the density. Such an expansion is of particular interest in the low-density regime characteristic of real nuclei (or even real nuclear matter).…”

Section: Introductionmentioning

confidence: 99%

“…-GN/2, b, =G+kukvk, p =(2/L )g"v" is the density of the system.Since the system of equations (6) scales[8) with p/mg, we introduce an expansion and k~k~k 2~e qj -, eI -, ek~+k+1 kc ijkl, c where ek = k /2m and m is the mass of the quark.As noted by Tosa[8], we can go to the limit of an infinite box (N~oo, L~oo, p =N/L finite) by replacing…”

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confidence: 99%

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Boson mappings applied to the two-color delta model

Dukelsky

P̧ittel

1992

Phys. Rev. C

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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 shortrange 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.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Boson mappings applied to the two-color delta model

Dukelsky

P̧ittel

1992

Phys. Rev. C

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“…One of the models created in the attempt to understand clusterization of quarks, is the model of Koltun et al [3,4,5], in which the quarks move in one dimension and interact through a residual attractive delta-function potential. In the general case the quarks possess three colours, but a simplified version in which the quarks can only have two colours has also been developed.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we attempt to get exact mappings for the two-colour delta model of interacting quarks mentioned above [3,4,5,9,10]. It turns out that an exact mapping of this model can be constructed through the use of parafermions.…”

Section: Introductionmentioning

confidence: 99%