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Title: BB Potentials in Quenched Lattice QCD

Abstract

The potentials between two B-mesons are computed in the heavy-quark limit using quenched lattice QCD at $$m_\pi\sim 400~{\rm MeV}$$. Non-zero central potentials are clearly evident in all four spin-isospin channels, (I,s_l) = (0,0) , (0,1) , (1,0) , (1,1), where s_l is the total spin of the light degrees of freedom. At short distance, we find repulsion in the $$I\ne s_l$$ channels and attraction in the I=s_l channels. Linear combinations of these potentials that have well-defined spin and isospin in the t-channel are found, in three of the four cases, to have substantially smaller uncertainties than the potentials defined with the s-channel (I,s_l), and allow quenching artifacts from single hairpin exchange to be isolated. The BB*\pi coupling extracted from the long-distance behavior of the finite-volume t-channel potential is found to be consistent with quenched calculations of the matrix element of the isovector axial-current. The tensor potentials in both of the s_l = 1 channels are found to be consistent with zero within calculational uncertainties.

Authors:
; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
920983
Report Number(s):
JLAB-THY-07-625; DOE/OR/23177-0044; hep-lat/0703009
Journal ID: ISSN 1550-7998; TRN: US0801980
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 76; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; B MESONS; CENTRAL POTENTIAL; DEGREES OF FREEDOM; ISOSPIN; ISOVECTORS; MATRIX ELEMENTS; QUANTUM CHROMODYNAMICS; QUENCHING; S CHANNEL; SPIN; T CHANNEL

Citation Formats

Detmold, William, Orginos, Kostas, and Savage, Martin J. BB Potentials in Quenched Lattice QCD. United States: N. p., 2007. Web. doi:10.1103/PhysRevD.76.114503.
Detmold, William, Orginos, Kostas, & Savage, Martin J. BB Potentials in Quenched Lattice QCD. United States. https://doi.org/10.1103/PhysRevD.76.114503
Detmold, William, Orginos, Kostas, and Savage, Martin J. 2007. "BB Potentials in Quenched Lattice QCD". United States. https://doi.org/10.1103/PhysRevD.76.114503. https://www.osti.gov/servlets/purl/920983.
@article{osti_920983,
title = {BB Potentials in Quenched Lattice QCD},
author = {Detmold, William and Orginos, Kostas and Savage, Martin J},
abstractNote = {The potentials between two B-mesons are computed in the heavy-quark limit using quenched lattice QCD at $m_\pi\sim 400~{\rm MeV}$. Non-zero central potentials are clearly evident in all four spin-isospin channels, (I,s_l) = (0,0) , (0,1) , (1,0) , (1,1), where s_l is the total spin of the light degrees of freedom. At short distance, we find repulsion in the $I\ne s_l$ channels and attraction in the I=s_l channels. Linear combinations of these potentials that have well-defined spin and isospin in the t-channel are found, in three of the four cases, to have substantially smaller uncertainties than the potentials defined with the s-channel (I,s_l), and allow quenching artifacts from single hairpin exchange to be isolated. The BB*\pi coupling extracted from the long-distance behavior of the finite-volume t-channel potential is found to be consistent with quenched calculations of the matrix element of the isovector axial-current. The tensor potentials in both of the s_l = 1 channels are found to be consistent with zero within calculational uncertainties.},
doi = {10.1103/PhysRevD.76.114503},
url = {https://www.osti.gov/biblio/920983}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = ,
volume = 76,
place = {United States},
year = {Sat Dec 01 00:00:00 EST 2007},
month = {Sat Dec 01 00:00:00 EST 2007}
}