Egidijus
Norvaisas (Vilnius):
Quantum corrections in Bound State Approach to Heavy
Baryons
Abstract:
The Skyrme
model is topological soliton model describing properties
of baryons at low energies. A chiral symmetric effective
mesonic field represents approximately chiral symmetric
QCD Lagrangian in the limit of large N_{C}. The
approach treating hyperons as bound states of Skyrme
solitons and nontopological fields of K mesons
was introduced by Callan and Klebanov. We consider
the Skyrme model unitary fields U(x,t) belonging
to an arbitrary irreducible representation of the
SU(3) group. The bounded meson field is expanded
perturbativelly. Therefore model Lagrangian brakes
into two parts corresponding soliton and meson field
with soliton field in the background. We treat soliton
field quantum mechaniclly ab initio. The canonical
quantization of the soliton respecting noncommutativity
of quantum variables leads to quantum soliton stabilizing
term which depends on representation and lowers
soliton mass. The WessZumino term plays a crucial
role for the bound field and also depend on representation.
We find semiclassical Hamiltonian describing bounds
states in the background of the quantum soliton.
The representation influence to the explicit expression
of Hamiltonian 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.
