Charmless hadronic B decays involving scalar mesons: Implications on the nature of light scalar mesons
Abstract
The hadronic charmless B decays into a scalar meson and a pseudoscalar meson are studied within the framework of QCD factorization. Based on the QCD sum rule method, we have derived the leadingtwist lightcone distribution amplitudes of scalar mesons and their decay constants. Although the light scalar mesons f{sub 0}(980) and a{sub 0}(980) are widely perceived as primarily the fourquark bound states, in practice it is difficult to make quantitative predictions based on the fourquark picture for light scalars. Hence, predictions are made in the 2quark model for the scalar mesons. The shortdistance approach suffices to explain the observed large rates of f{sub 0}(980)K{sup } and f{sub 0}(980)K{sup 0} that receive major penguin contributions from the b{yields}sss process. When f{sub 0}(980) is assigned as a fourquark bound state, there exist extra diagrams contributing to B{yields}f{sub 0}(980)K. Therefore, a priori the f{sub 0}(980)K rate is not necessarily suppressed for a fourquark state f{sub 0}(980). The predicted B{sup 0}{yields}a{sub 0}{sup {+}}(980){pi}{sup {+}} and a{sub 0}{sup +}(980)K{sup } rates exceed the current experimental limits, favoring a fourquark nature for a{sub 0}(980). The penguindominated modes a{sub 0}(980)K and a{sub 0}(1450)K receive predominant weak annihilation contributions. There exists a twofold experimental ambiguity in extracting themore »
 Authors:
 Institute of Physics, Academia Sinica, Taipei, Taiwan 115 (China)
 Department of Physics, Chung Yuan Christian University, ChungLi, Taiwan 320 (China)
 Publication Date:
 OSTI Identifier:
 20774602
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.73.014017; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; A0980 MESONS; AMPLITUDES; ANNIHILATION; ASYMMETRY; B MESONS; BOUND STATE; BRANCHING RATIO; CP INVARIANCE; DISTANCE; DISTRIBUTION; F0980 MESONS; FACTORIZATION; FEYNMAN DIAGRAM; HADRONIC PARTICLE DECAY; ISOSPIN; KAONS NEUTRAL; LIGHT CONE; PERIPHERAL MODELS; PIONS MINUS; PIONS PLUS; QUANTUM CHROMODYNAMICS; QUARK MODEL; QUARKS; SCALARS; SUM RULES; SYMMETRY
Citation Formats
Cheng Haiyang, Chua Chunkhiang, and Yang Kweichou. Charmless hadronic B decays involving scalar mesons: Implications on the nature of light scalar mesons. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.014017.
Cheng Haiyang, Chua Chunkhiang, & Yang Kweichou. Charmless hadronic B decays involving scalar mesons: Implications on the nature of light scalar mesons. United States. doi:10.1103/PhysRevD.73.014017.
Cheng Haiyang, Chua Chunkhiang, and Yang Kweichou. Sun .
"Charmless hadronic B decays involving scalar mesons: Implications on the nature of light scalar mesons". United States.
doi:10.1103/PhysRevD.73.014017.
@article{osti_20774602,
title = {Charmless hadronic B decays involving scalar mesons: Implications on the nature of light scalar mesons},
author = {Cheng Haiyang and Chua Chunkhiang and Yang Kweichou},
abstractNote = {The hadronic charmless B decays into a scalar meson and a pseudoscalar meson are studied within the framework of QCD factorization. Based on the QCD sum rule method, we have derived the leadingtwist lightcone distribution amplitudes of scalar mesons and their decay constants. Although the light scalar mesons f{sub 0}(980) and a{sub 0}(980) are widely perceived as primarily the fourquark bound states, in practice it is difficult to make quantitative predictions based on the fourquark picture for light scalars. Hence, predictions are made in the 2quark model for the scalar mesons. The shortdistance approach suffices to explain the observed large rates of f{sub 0}(980)K{sup } and f{sub 0}(980)K{sup 0} that receive major penguin contributions from the b{yields}sss process. When f{sub 0}(980) is assigned as a fourquark bound state, there exist extra diagrams contributing to B{yields}f{sub 0}(980)K. Therefore, a priori the f{sub 0}(980)K rate is not necessarily suppressed for a fourquark state f{sub 0}(980). The predicted B{sup 0}{yields}a{sub 0}{sup {+}}(980){pi}{sup {+}} and a{sub 0}{sup +}(980)K{sup } rates exceed the current experimental limits, favoring a fourquark nature for a{sub 0}(980). The penguindominated modes a{sub 0}(980)K and a{sub 0}(1450)K receive predominant weak annihilation contributions. There exists a twofold experimental ambiguity in extracting the branching ratio of B{sup }{yields}K{sub 0}*{sup 0}(1430){pi}{sup }, which can be resolved by measuring other K{sub 0}*(1430){pi} modes in conjunction with the isospin symmetry consideration. Large weak annihilation contributions are needed to explain the K{sub 0}*(1430){pi} data. The decay B{sup 0}{yields}{kappa}{sup +}K{sup } provides a nice ground for testing the 4quark and 2quark nature of the {kappa} meson. It can proceed through Wexchange and hence is quite suppressed if {kappa} is made of two quarks, while it receives a tree contribution if {kappa} is predominately a fourquark state. Hence, an observation of this channel at the level of > or approx. 10{sup 7} may imply a fourquark assignment for the {kappa}. Mixinginduced CP asymmetries in penguindominated modes are studied and their deviations from sin2{beta} are found to be tiny.},
doi = {10.1103/PhysRevD.73.014017},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}

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