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FIZIKA B 8 (1999) 4, 489-504
 
CONSTANT CUT-OFF APPROACH TO THE SKYRMION FLUID
NILS DALARSSON
Royal Institute of Technology, Stockholm, Sweden
Correspondence address: Bjorkvagen 55, S-14733 Tumba, Sweden
Received 15 May 1999; revised manuscript received 17 October 1999
Accepted 22 November 1999
We review a quantum stabilization method for the SU(2) s-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 w
meson field in this model. We use the mean-field theory in which the dilaton and the w 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.
PACS numbers: 12.40
UDC 539.126
Keywords: SU(2) s-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
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