Constant-cutoff approach to {Lambda} (1405) resonance in the bound-state soliton model

Journal Article · Mon Apr 01 04:00:00 EST 1996 · International Journal of Theoretical Physics

DOI:https://doi.org/10.1007/BF02330575· OSTI ID:471813

Dalarsson, N ^[1]

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1. Royal Institute of Technology, Stockholm (Sweden)

We suggest a quantum stabilization method for the SU(2) {sigma}-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 strong and electromagnetic properties of the {Lambda}(1405) hyperon in the bound-state approach to the SU(3)-soliton model for the hyperons, with SU(3)-symmetry breaking. We calculate the strong coupling constant g{sub {Lambda}*NK}, the magnetic moment of {Lambda}*, the mean square radii, and the radiative decay amplitudes. Finally we compare the present results with those obtained using other models and with the available empirical data. We show that there is a general qualitative agreement between our results and the results of other models and available empirical data, except for the {Lambda}*{pi}{Sigma} coupling, which, as in the case of the complete Skyrme model, vanishes in the second-order approximation of the kaon fluctuations used in this work.

• Sponsoring Organization: USDOE
• OSTI ID: 471813
• Journal Information: International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 4 Vol. 35; ISSN 0020-7748; ISSN IJTPBM
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DECAY AMPLITUDES
LAMBDA-1405 BARYONS
MAGNETIC MOMENTS
PARTICLE RADII
RADIATIVE DECAY
SIGMA MODEL
SKYRME POTENTIAL
SOLITONS
SU-2 GROUPS