Bochum 2009 – scientific programme

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HK: Fachverband Hadronen und Kerne

HK 13: Hadron Structure and Spectroscopy I

HK 13.10: Talk

Monday, March 16, 2009, 18:45–19:00, H-ZO 20

The Bound State Approach and Hyperfine Splitting for Heavy Baryons — •Egidijus Norvaisas, Darius Jurciukonis, and Vidas Regelskis — VU Institute of Theoretical Physics and Astronomy, Vilnius, Lithuania

We consider the Skyrme model in the bound state approach for the unitary fields U(x,t) belonging to a irreducible representation (λ,µ) of the SU(3) group. The bounded meson field is expanded pertubatively. Therefore model Lagrangian brakes into two parts corresponding soliton and meson field with soliton field in the background. We treat soliton field quantum mechanically ab initio and leave chiral symmetry group SU(2)_R⊗ SU(2)_L explicit unbroken. Due to the canonical quantization of the soliton we get different spin and isospin of soliton. Noncommutativity of quantum variables leads to quantum soliton stabilizing term. This term depends on the representation (λ,µ) and lowers soliton mass. The symmetry breaking and Wess-Zumino terms play a crucial role for the bounded field and also depend on representation. We find semiclassical Hamiltonian describing bounds states in the background of the quantum soliton. The representation (λ,µ) influences the explicit expression of Hamiltonian and can be interpreted as a new discrete phenomenological parameter of the model. The calculations are done for the spectra of the strange, charm and bottom baryons, where they are treated as a bound states of quantum soliton and appropriate flavor meson.