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Title: BB potentials in quenched lattice QCD

Journal Article · · Physical Review. D, Particles Fields
;  [1];  [2]
  1. Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)
  2. Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)

The potentials between two B mesons are computed in the heavy-quark limit using quenched lattice QCD at m{sub {pi}}{approx}400 MeV. Nonzero central potentials are clearly evident in all four spin-isospin channels (I,s{sub l})=(0,0), (0, 1), (1, 0), (1, 1), where s{sub l} is the total spin of the light degrees of freedom. At short distance, we find repulsion in the I{ne}s{sub l} channels and attraction in the I=s{sub 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{sub 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{sub l}=1 channels are found to be consistent with zero within calculational uncertainties.

OSTI ID:
21023933
Journal Information:
Physical Review. D, Particles Fields, Vol. 76, Issue 11; Other Information: DOI: 10.1103/PhysRevD.76.114503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA). NPLQCD Collaboration; ISSN 0556-2821
Country of Publication:
United States
Language:
English