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Title: B{sub s0} meson and the B{sub s0}BK coupling from QCD sum rules

Abstract

We evaluate the mass of the B{sub s0} scalar meson and the coupling constant in the B{sub s0}BK vertex in the framework of QCD sum rules. We consider the B{sub s0} as a tetraquark state to evaluate its mass. We get m{sub B{sub s0}}=(5.85{+-}0.13) GeV, which is in agreement, considering the uncertainties, with predictions supposing it as a bs state or a BK bound state with J{sup P}=0{sup +}. To evaluate the g{sub B{sub s0}BK} coupling, we use the three-point correlation functions of the vertex, considering B{sub s0} as a normal bs state. The obtained coupling constant is: g{sub B{sub s0}BK}=(16.3{+-}3.2) GeV. This number is in agreement with light-cone QCD sum rules calculation. We have also compared the decay width of the B{sub s0}{yields}BK process considering the B{sub s0} to be a bs state and a BK molecular state. The width obtained for the BK molecular state is twice as big as the width obtained for the bs state. Therefore, we conclude that with the knowledge of the mass and the decay width of the B{sub s0} meson, one can discriminate between the different theoretical proposals for its structure.

Authors:
;  [1];  [2]
  1. Faculdade de Tecnologia, Universidade do Estado do Rio de Janeiro, Rod. Presidente Dutra Km 298, Polo Industrial, CEP 27537-000, Resende, RJ (Brazil)
  2. (tilde sign)o Paulo, Caixa Postal 66318, 05389-970 Sa(tilde sign)o Paulo, SP (Brazil)
Publication Date:
OSTI Identifier:
21432852
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 82; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.82.034012; (c) 2010 American Institute of Physics
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B S MESONS; BOUND STATE; COMPUTERIZED SIMULATION; CORRELATION FUNCTIONS; COUPLING; COUPLING CONSTANTS; FORECASTING; GEV RANGE; LIGHT CONE; MASS; PARTICLE DECAY; QUANTUM CHROMODYNAMICS; SCALAR MESONS; SUM RULES; BEAUTY MESONS; BEAUTY PARTICLES; BOSONS; DECAY; ELEMENTARY PARTICLES; ENERGY RANGE; EQUATIONS; FIELD THEORIES; FUNCTIONS; HADRONS; MESONS; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; SIMULATION; SPACE-TIME; STRANGE MESONS; STRANGE PARTICLES

Citation Formats

Bracco, M. E., Nielsen, M., and Instituto de Fisica, Universidade de Sa. B{sub s0} meson and the B{sub s0}BK coupling from QCD sum rules. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.034012.
Bracco, M. E., Nielsen, M., & Instituto de Fisica, Universidade de Sa. B{sub s0} meson and the B{sub s0}BK coupling from QCD sum rules. United States. doi:10.1103/PHYSREVD.82.034012.
Bracco, M. E., Nielsen, M., and Instituto de Fisica, Universidade de Sa. Sun . "B{sub s0} meson and the B{sub s0}BK coupling from QCD sum rules". United States. doi:10.1103/PHYSREVD.82.034012.
@article{osti_21432852,
title = {B{sub s0} meson and the B{sub s0}BK coupling from QCD sum rules},
author = {Bracco, M. E. and Nielsen, M. and Instituto de Fisica, Universidade de Sa},
abstractNote = {We evaluate the mass of the B{sub s0} scalar meson and the coupling constant in the B{sub s0}BK vertex in the framework of QCD sum rules. We consider the B{sub s0} as a tetraquark state to evaluate its mass. We get m{sub B{sub s0}}=(5.85{+-}0.13) GeV, which is in agreement, considering the uncertainties, with predictions supposing it as a bs state or a BK bound state with J{sup P}=0{sup +}. To evaluate the g{sub B{sub s0}BK} coupling, we use the three-point correlation functions of the vertex, considering B{sub s0} as a normal bs state. The obtained coupling constant is: g{sub B{sub s0}BK}=(16.3{+-}3.2) GeV. This number is in agreement with light-cone QCD sum rules calculation. We have also compared the decay width of the B{sub s0}{yields}BK process considering the B{sub s0} to be a bs state and a BK molecular state. The width obtained for the BK molecular state is twice as big as the width obtained for the bs state. Therefore, we conclude that with the knowledge of the mass and the decay width of the B{sub s0} meson, one can discriminate between the different theoretical proposals for its structure.},
doi = {10.1103/PHYSREVD.82.034012},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 82,
place = {United States},
year = {Sun Aug 01 00:00:00 EDT 2010},
month = {Sun Aug 01 00:00:00 EDT 2010}
}
  • In this article, we take the point of view that the bottomed (0{sup +},1{sup +}) mesons B{sub s0} and B{sub s1} are the conventional bs meson and calculate the strong coupling constants g{sub B{sub s0}}{sub BK} and g{sub B{sub s1}}{sub B*K} with the light-cone QCD sum rules. The numerical values of strong coupling constants g{sub B{sub s1}}{sub B*K} and g{sub B{sub s0}}{sub BK} are very large and support the hadronic dressing mechanism. Just like the scalar mesons f{sub 0}(980), a{sub 0}(980), D{sub s0} and axial-vector meson D{sub s1}, the (0{sup +},1{sup +}) bottomed mesons B{sub s0} and B{sub s1} maymore » have small bs kernels of the typical bs meson size. The strong couplings to the hadronic channels (or the virtual mesons loops) may result in smaller masses than the conventional bs mesons in the potential quark models and enrich the pure bs states with other components.« less
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  • We present an analysis of semileptonic decays of orbitally, P-wave excited B{sub s} meson states B{sub s}**, including the newly found narrow B{sub s1}(5830) and B{sub s2}*(5840) states, into low-lying D{sub s} mesons (D{sub s}(1968), D{sub s}*(2112), D{sub sJ}(2317), D{sub sJ}(2460)) within the framework of the heavy quark effective theory. The relevant universal form factors are estimated using QCD sum rules at the leading order of the heavy quark expansion. The decay widths are predicted and the branching ratios are estimated.
  • The decay constants for the strong off-shell {ital B}{sup {asterisk}}{implies}{ital B}{rho} and {ital D}{sup {asterisk}}{implies}{ital D}{rho} decays are calculated in the framework of light cone QCD sum rules. The results are shown to be in agreement with the predictions of the {open_quote}{open_quote}classical{close_quote}{close_quote} sum rules method, and with those of the vector dominance model. {copyright} {ital 1995 The American Physical Society.}