bcc energy spectrum of the Y-string three-body potential.pptx

energy spectrum of the Y-string three-body potential
Seijiro Nishi
Shigehiro Yasui, Makoto Oka
Tokyo Institute of Technology
2014 Dec. 2
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Contents
Introduction
Y-string Three-body Potential
Triple Heavy Baryon
Formalism
Hamiltonian
Gaussian Expansion Method
Result
Summary & Perspectives
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1. introduction
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Y-string Three-body Potential (1)
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potential
confinement Vconf
potential
Characteristics of QCD
dynamical breaking of chiral symmetry
color confinement
⇒ Mass spectrum is important to understand both and
interaction.
T. Barnes et al. Phys. Rev D 72, 054026 (2005)
confinement
= Y-string potential
T. Takahashi et al, Phys. Rev. Lett, 86, 18 (2001)
Y-string Three-body Potential (2)
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Ichie et al. Nuclear Physics A72 1 (2003) 899c-902c
pure three-body potential
energy density of three-body system
Y-string Three-body Potential (3)
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: linking point where the sum of the distances from three quarks is made minimum.
⇒ Fermat point
When we put three quarks at , and , the point is determined automatically.
Fermat point
This potential is reasonable because in order to minimize the potential, the sum of the distances from three quarks has to be minimum.
equilateral triangles
Triple Heavy Baryon
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is one of the triple heavy baryons, which
consists of two c quarks and one b quark.
Why ?
Charm and Bottom hadron
The charm and bottom hadron are now getting attention both theoretically and empirically.
Y-string potential
The Y-string potential is the result of the Lattice QCD at the heavy quark mass limit.
Heavy baryon is the good subject to test this potential.
This is the almost new trial to analyze the triple heavy baryon with this potential.
⇒ is the best system to reflect the Y-string potential.
Motivation (1)
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In earlier researches, the Y-string potential has been approximated as the Δ-string potential and there has been a few result of ba