dorsal/arxiv
View SchemaStability and Representation Dependence of the Quantum Skyrmion
| Authors | A. Acus, E. Norvaisas, D. O. Riska |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9712071 |
| URL | https://arxiv.org/abs/nucl-th/9712071 |
| DOI | 10.1103/PhysRevC.57.2597 |
| Journal | Phys.Rev.C57:2597-2604,1998 |
Abstract
A constructive realization of Skyrme's conjecture that an effective pion mass ``may arise as a self consistent quantal effect'' based on an ab initio quantum treatment of the Skyrme model is presented. In this quantum mechanical Skyrme model the spectrum of states with $I=J$, which appears in the collective quantization, terminates without any infinite tower of unphysical states. The termination point depends on the model parameters and the dimension of the SU(2) representation. Representations, in which the nucleon and $\Delta_{33}$ resonance are the only stable states, exist. The model is developed for both irreducible and reducible representations of general dimension. States with spin larger than 1/2 are shown to be deformed. The representation dependence of the baryon observables is illustrated numerically.
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"abstract": "A constructive realization of Skyrme\u0027s conjecture that an effective pion mass\n``may arise as a self consistent quantal effect\u0027\u0027 based on an ab initio quantum\ntreatment of the Skyrme model is presented. In this quantum mechanical Skyrme\nmodel the spectrum of states with $I=J$, which appears in the collective\nquantization, terminates without any infinite tower of unphysical states. The\ntermination point depends on the model parameters and the dimension of the\nSU(2) representation. Representations, in which the nucleon and $\\Delta_{33}$\nresonance are the only stable states, exist. The model is developed for both\nirreducible and reducible representations of general dimension. States with\nspin larger than 1/2 are shown to be deformed. The representation dependence of\nthe baryon observables is illustrated numerically.",
"arxiv_id": "nucl-th/9712071",
"authors": [
"A. Acus",
"E. Norvaisas",
"D. O. Riska"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.57.2597",
"journal_ref": "Phys.Rev.C57:2597-2604,1998",
"title": "Stability and Representation Dependence of the Quantum Skyrmion",
"url": "https://arxiv.org/abs/nucl-th/9712071"
},
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