Constant-Cutoff Approach to Strangeness Dependence in Radiative Decays of Hyperons

摘要

We suggest a quantum stabilization method for the SU(2) σ-model, based on the constant-cutoff limit of the cutoff 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 single dimensional arbitrary constant. We then study the radiative decays of ∫~π = (3+)/2 baryons using the constant-cutoff approach to the SU(3) collective treatment of the Skyrme model for hyperons. Thus we investigate the radiative hyperon decays and the variation of the decay widths with strangeness, showing that the present results are in qualitative agreement with the results obtained using the complete Skyrme model.