Original scientific paper
Constant cut-off approach to the skyrmion fluid
Nils Dalarsson
; Royal Institute of Technology, Stockholm, Sweden Correspondence address: Bjorkvagen 55, S-14733 Tumba, Sweden
Abstract
We review a quantum stabilization method for the SU(2) σ-model, based on the constant cut-off limit of the cut-off quantization method developed by Balakrishna et al., which avoids the difficulties with the usual soliton boundary-conditions pointed out by Iwasaki and Ohyama. We investigate the baryon number B = 1 sector of the model and show that after the collective coordinate quantization, it admits a stable soliton solution which depends on a one-dimensional arbitrary constant. We then study a soliton fluid coupled to the dilaton field and the ω meson field in this model. We use the mean-field theory in which the dilaton and the ω field acquire a mean value determined by the solitons. Thus, we calculate the soliton binding energy, effective soliton mass, pressure, chemical potential and the entropy per soliton, showing that there is a good qualitative agreement of the present results with those obtained using the complete Skyrme model.
Keywords
SU(2) σ-model; constant cut-off limit of the cut-off quantization method; B = 1 sector; soliton fluid coupled to dilaton field; soliton binding energy; effective soliton mass; pressure; chemical potential and entropy
Hrčak ID:
305486
URI
Publication date:
1.12.1999.
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