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SUMMARY:Approximate three-quark Hamiltonian in heavy flavor QCD
DTSTART;VALUE=DATE-TIME:20180517T150500Z
DTEND;VALUE=DATE-TIME:20180517T153000Z
DTSTAMP;VALUE=DATE-TIME:20211128T051157Z
UID:indico-contribution-3226@indico.jlab.org
DESCRIPTION:Speakers: Kamil Serafin (University of Warsaw)\nHamiltonian fo
r baryons in heavy-flavor QCD is approximately\nevaluated using the renorm
alization group procedure for \neffective particles (RGPEP). The calculati
on \nyields Hamiltonian terms up to second order in the strong coupling \n
constant. The renormalized Hamiltonian eigenvalue problem is \nreduced to
the Fock sector of only three quarks using assumption \nthat effective glu
ons develop a mass. The resulting effective \nthree-quark interaction Hami
ltonian consists of the Coulomb and \nharmonic oscillator terms. The oscil
lator terms depend on the \ncoupling constant\, quark masses and the RGPEP
scale\, but they \ndo not depend on the gluon mass ansatz. Masses of grou
nd and \nexcited states of triply heavy baryons are estimated by evaluatin
g \nexpectation values of the Coulomb terms in the harmonic oscillator \nt
hree-quark eigenstates. This very crude approximation produces \nspectra t
hat are in qualitative and in many cases also in quantitative \nagreement
with quark model predictions and lattice QCD calculations\, \nespecially f
or bbb and ccc systems. In ccb systems\, the cc pair \nforms a tight diqua
rk circling around the quark b. Our results \nfor baryons are obtained wit
h no free parameters\, except the \nrenormalization scale for ccb and cbb
systems\, because the coupling \nconstant and quark masses are fixed in th
e same theory by comparison \nwith the known spectra of heavy quarkonia. T
hese results suggest \nthat heavy-flavor QCD is suitable for realistic stu
dies of the \ndynamics of gluons in the presence of stable color sources u
sing \nthe front form of Hamiltonian dynamics. The RGPEP that we use here
\nin second order\, can be extended to fourth order and inclusion of \nnon
perturbative solutions to the evolution equation for effective \nparticles
. These extensions are needed to verify our gluon mass \nansatz in theory.
\n\nhttps://indico.jlab.org/event/252/contributions/3226/
LOCATION:Jefferson Lab - CEBAF Center Auditorium
URL:https://indico.jlab.org/event/252/contributions/3226/
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