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Constant-Cutoff Approach to Axially Symmetric Dibaryons
Authors:Nils Dalarsson
Abstract:We suggest a quantum stabilization method forthe SU(2) sgr-model, based on the constant-cutofflimit of the cutoff quantization method developed byBalakrishna et al., which avoids the difficulties with the usual soliton boundary conditions pointedout by Iwasaki and Ohyama. We investigate the baryonnumber B = 1 sector of the model and show that after thecollective coordinate quantization it admits a stable soliton solution which depends on asingle dimensional arbitrary constant. We then study thedibaryon configurations in this approach, using thegeneralized axially symmetric ansatz to determine the soliton background. Thus we calculate therotational contributions to the masses of the axiallysymmetric dibaryons and show that they are inqualitative agreement with the results obtained usingthe complete Skyrme model. We conclude also that,as in the case of the complete Skyrme model, the lowestallowed S = –2 state has the quantum numbers ofthe H-particle. We find that in the present approach, similarly to the case of the complete Skyrmemodel, this particle is bound, even though the neglectedvacuum effects might contribute to the unbinding of theH-particle.
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