Solitons in the Nambu-Jona-Lasinio model with vector and axial mesons |
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Authors: | F Döring E Ruiz Arriola K Goeke |
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Institution: | 1. Institut für Theoretische Physik II, Ruhr-Universit?t Bochum, W-4630, Bochum, Germany 2. Departamento de Fisica Moderna, Universidad de Granada, E-18071, Granada, Spain
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Abstract: | We study the effect of vector and axial isovector mesons in the soliton of the SU(2) NJL-model for static hedgehog configurations and on the chiral circle. The Lagrangian reproduces Sakurai's Universality and implements vector dominance through current-field identities. The parameters of the Lagrangian are fixed by means of a heat-kernel expansion up to second order taking theA-π mixing into account. For the corresponding set of parameters we find solitons for constituent quark masses betweenM~265–345 MeV which are much lower than those found without vector mesons. For the valueM=315 MeV which corresponds both to the KSFR relation 2g ρ 2 f π 2 =m ρ 2 and the Weinberg sum rule m A 2 =m ρ 2 the soliton has a clearly negative quark eigenvalue. The soliton mass is about 1100 MeV. For this choise of parameters the radius and axial coupling constant turn out to be too small. |
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