Weak leptonic decay of light and heavy pseudoscalar mesons in an independent quark model

Journal Article · Thu Apr 01 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.2788· OSTI ID:6709271

Barik, N; Dash, P C ^[1]

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1. Department of Physics, Utkal University, Bhubaneswar-751004 (India)

Weak leptonic decays of light and heavy pseudoscalar mesons are studied in a field-theoretic framework based on the independent quark model with a scalar-vector harmonic potential. Defining the quark-antiquark momentum distribution amplitude obtainable from the bound quark eigenmodes of the model with the assumption of a strong correlation between quark-antiquark momenta inside the decaying meson in its rest frame, we derive the partial decay width with correct kinematical factors from which we extract an expression for the pseudoscalar decay constants [ital f][sub [ital M]]. Using the model parameters determined from earlier studies in the light-flavor sector and heavy-quark masses [ital m][sub [ital c]] and [ital m][sub [ital b]] from the hyperfine splitting of ([ital D][sup *],[ital D]) and ([ital B][sup *],[ital B]), we calculate the pseudoscalar decay constants. We find that while ([ital f][sub [pi]],[ital f][sub [ital K]])[equivalent to](138,157 MeV); ([ital f][sub [ital D]],[ital f][sub [ital D][ital s]])[equivalent to](161,205 MeV), ([ital f][sub [ital B]],[ital f][sub [ital B][ital s]])[equivalent to](122,154 MeV), and [ital f][sub [ital B][ital c]]=221 MeV. We also obtain the partial decay widths and branching ratios for some kinematically allowed weak leptonic decay processes.

• OSTI ID: 6709271
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:7; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662230 -- Quantum Chromodynamics-- (1992-)
662350* -- Decays of Mesons-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYONS
BASIC INTERACTIONS
BOSONS
BRANCHING RATIO
DECAY
ELEMENTARY PARTICLES
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
FERMIONS
HADRONS
HYPERFINE STRUCTURE
INTERACTIONS
LEPTONIC DECAY
LIE GROUPS
M1-TRANSITIONS
MAGNETIC MOMENTS
MASS
MATRIX ELEMENTS
MESONS
MULTIPOLE TRANSITIONS
PARTICLE DECAY
PSEUDOSCALAR MESONS
RELATIVISTIC RANGE
SU GROUPS
SU-6 GROUPS
SYMMETRY GROUPS
TRANSITION AMPLITUDES
WEAK INTERACTIONS
WEAK PARTICLE DECAY