Quantum corrections to the masses of the octet and decuplet baryons in the SU(3) chiral quark soliton model

Details Quantum corrections to the masses of the octet and decuplet baryons in the SU(3) chiral quark soliton model Quantum corrections to the masses of the octet and decuplet baryons in the SU(3) chiral quark soliton model

2006-07-29

arxiv.org/abs/hep-ph/0607326v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 2 figures

Scientific paper

Mesonic fluctuations around the chiral solitons are investigated in the SU(3) chiral quark soliton model. Since the soliton takes the non-hedgehog shape for the hyperons and the hedgehog one for the non-hedgehog baryons in our approach, the fluctuations also change according to the baryonic state. The quantum corrections to the masses (the Casimir energies) are estimated for the octet and decuplet baryons. The lack of the confinement in this model demands the cutoff on the energy of the fluctuations. Under the assumption that the value of the cutoff energy is $2\times$(the lightest constituent quark mass), these calculation reproduces the masses of the baryons within 15 % error.

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