Hadronic matrix elements and radiative [ital B][r arrow][ital K][sup *][gamma] decay

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.3501· OSTI ID:6587451

Tang, J; Liu, J ^[1]; Chao, K ^[2]

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1. Department of Physics, Peking University, Beijing 100871 (China)
2. Center of Theoretical Physics, CCAST (World Laboratory), Beijing 100080 (China) Department of Physics, Peking University, Beijing 100871 (China)

Within the standard model, we calculate the radiative [ital B][r arrow][ital K][sup *][gamma] decay rate based on a Bethe-Salpeter description for the meson wave functions and the hadronic matrix elements. With a reasonable choice of parameters the branching ratio [ital scrB]([ital B][r arrow][ital K][sup *][gamma]) is found to be (3.8--4.6)[times]10[sup [minus]5], which is in agreement with the CLEO experimental data. We also find, with [ital m][sub [ital b]]=5.12 GeV, the ratio [ital R][equivalent to][Gamma]([ital B][r arrow][ital K][sup *][gamma])/[Gamma]([ital b][r arrow][ital s][gamma])=(10--12)%, which can be slightly larger if a smaller [ital m][sub [ital b]] is chosen. In this approach, the light degrees of freedom in mesons are treated as light constituent quarks with relativistic kinematics, and the form factors in the decay amplitude are essentially determined by the relativistic kinematics and the overlap of wave functions of the initial and final state mesons. Because of the large recoil momentum of the [ital K][sup *] meson at the [ital B] meson rest frame, the form factors are sensitive to the overlap integral of the meson wave functions, which are determined dynamically by a QCD-motivated interquark potential. Relativistic effects on the meson wave functions mainly due to the Breit-Fermi interactions are found to be significant in determining the decay rate.

• OSTI ID: 6587451
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:7; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662390* -- Electromagnetic Processes & Properties-- (1992-)
662420 -- Properties of Mesons & Meson Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B MESONS
BEAUTY PARTICLES
BETHE-SALPETER EQUATION
BOSONS
BRANCHING RATIO
DECAY
DECAY AMPLITUDES
ELEMENTARY PARTICLES
EQUATIONS
FORM FACTORS
FUNCTIONS
HADRONS
KAONS
MATHEMATICAL MODELS
MATRIX ELEMENTS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
RADIATIVE DECAY
STANDARD MODEL
STRANGE MESONS
STRANGE PARTICLES
TRANSITION AMPLITUDES
UNIFIED GAUGE MODELS
WAVE FUNCTIONS