Interquark Potential with Finite Quark Mass from Lattice QCD

Journal Article · Fri Aug 26 04:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.107.091601· OSTI ID:21611580

Kawanai, Taichi; Sasaki, Shoichi ^[1]

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1. Department of Physics, University of Tokyo, Hongo 7-3-1, Tokyo 113-0033 (Japan)

We present an investigation of the interquark potential determined from the qq Bethe-Salpeter (BS) amplitude for heavy quarkonia in lattice QCD. The qq potential at finite quark mass m{sub q} can be calculated from the equal-time and Coulomb gauge BS amplitude through the effective Schroedinger equation. The definition of the potential itself requires information about a kinetic mass of the quark. We then propose a self-consistent determination of the quark kinetic mass on the same footing. To verify the proposed method, we perform quenched lattice QCD simulations with a relativistic heavy-quark action at a lattice cutoff of 1/a{approx_equal}2.1 GeV in a range 1.0{<=}m{sub q}{<=}3.6 GeV. Our numerical results show that the qq potential in the m{sub q}{yields}{infinity} limit is fairly consistent with the conventional one obtained from Wilson loops. The quark-mass dependence of the qq potential and the spin-spin potential are also examined.

• OSTI ID: 21611580
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 107; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
B QUARKS
BEAUTY PARTICLES
BETHE-SALPETER EQUATION
C QUARKS
CHARM PARTICLES
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD THEORIES
GEV RANGE
GEV RANGE 01-10
MASS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
QUARKS
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
SIMULATION
SPIN
T QUARKS
TOP PARTICLES
WAVE EQUATIONS
WILSON LOOP