Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons

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dc.creatorCheng, Hai-Yang
dc.creatorChua, Chun-Khiang
dc.creatorYang, Kwei-Chou
dc.date2005-08-09
dc.date2005-12-01
dc.date.accessioned2026-07-07T10:29:37Z
dc.date.available2026-07-07T10:29:37Z
dc.descriptionThe hadronic charmless B decays into a scalar meson and a pseudoscalar meson are studied within the framework of QCD factorization. Although the light scalar mesons $f_0(980)$ and $a_0(980)$ are widely perceived as primarily the four-quark bound states, in practice it is difficult to make quantitative predictions based on the four-quark picture for light scalars. Hence, predictions are made in the 2-quark model for the scalar mesons. Based on the QCD sum rule method, we have derived the leading-twist light-cone distribution amplitudes of scalar mesons and their decay constants. The short-distance approach suffices to explain the observed large rates of $f_0(980)K^-$ and $f_0(980)\bar K^0$ that receive major penguin contributions from the $b\to ss\bar s$ process. When $f_0(980)$ is assigned as a four-quark bound state, there exist extra diagrams contributing to $B\to f_0(980)K$. Therefore, a priori the $f_0(980)K$ rate is not necessarily suppressed for a four-quark state $f_0(980)$. The calculated $\bar B^0\to a_0^+(980)π^-$ and $a_0^+(980)K^-$ rates exceed slightly the current experimental limits. If the branching ratio of $\bar B^0\to a_0^+(1450)π^-$ is measured at the level of $(4\sim 6)\times 10^{-6}$ while $a_0^+(980)π^-$ is found to be smaller, say, of order $(1\sim 2)\times 10^{-6}$ or even smaller than this, it will be likely to imply a 2-quark nature for $a_0(1450)$ and a four-quark assignment for $a_0(980)$. The penguin-dominated modes $a_0(980)K$ and $a_0(1450)K$ receive dominant weak annihilation contributions.
dc.description42 pages and 5 figures. Form factors for B to excited scalar mesons are calculated, signs are flipped for the decay constants of excited states (Appendix B), Tables 5 to 9 are revised. Version to appear in PRD
dc.identifierhttps://arxiv.org/abs/hep-ph/0508104
dc.identifierhttp://arxiv.org/abs/hep-ph/0508104
dc.identifierPhys.Rev.D73:014017,2006
dc.identifierdoi:10.1103/PhysRevD.73.014017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177866
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleCharmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
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