Speaker
Mr
Kamil Serafin
(University of Warsaw)
Description
Hamiltonian for baryons in heavy-flavor QCD is approximately
evaluated using the renormalization group procedure for
effective particles (RGPEP). The calculation
yields Hamiltonian terms up to second order in the strong coupling
constant. The renormalized Hamiltonian eigenvalue problem is
reduced to the Fock sector of only three quarks using assumption
that effective gluons develop a mass. The resulting effective
three-quark interaction Hamiltonian consists of the Coulomb and
harmonic oscillator terms. The oscillator terms depend on the
coupling constant, quark masses and the RGPEP scale, but they
do not depend on the gluon mass ansatz. Masses of ground and
excited states of triply heavy baryons are estimated by evaluating
expectation values of the Coulomb terms in the harmonic oscillator
three-quark eigenstates. This very crude approximation produces
spectra that are in qualitative and in many cases also in quantitative
agreement with quark model predictions and lattice QCD calculations,
especially for bbb and ccc systems. In ccb systems, the cc pair
forms a tight diquark circling around the quark b. Our results
for baryons are obtained with no free parameters, except the
renormalization scale for ccb and cbb systems, because the coupling
constant and quark masses are fixed in the same theory by comparison
with the known spectra of heavy quarkonia. These results suggest
that heavy-flavor QCD is suitable for realistic studies of the
dynamics of gluons in the presence of stable color sources using
the front form of Hamiltonian dynamics. The RGPEP that we use here
in second order, can be extended to fourth order and inclusion of
nonperturbative solutions to the evolution equation for effective
particles. These extensions are needed to verify our gluon mass
ansatz in theory.
Primary author
Mr
Kamil Serafin
(University of Warsaw)
Co-authors
Dr
Jai More
(Indian Institute of Technology Bombay)
Dr
Maria Gomez-Rocha
(University of Graz)
Stanislaw Glazek
(University of Warsaw)
