Optical'' sum rule for form factors of heavy mesons

Journal Article · Thu Oct 01 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.3062· OSTI ID:7012312

Voloshin, M B ^[1]

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1. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States) Institute of Theoretical and Experimental Physics, Moscow 117259, (Russia)

A sum rule for the transitions due to the vector current of heavy quarks between the ground negative-parity states and the positive-parity excited states is derived, which is a direct analogue of the sum rule in the scattering of light on atoms, known as the Thomas-Reiche-Kuhn sum rule or the oscillator strength'' sum rule. This sum rule in conjunction with one suggested by Bjorken can be used to place an upper bound on the slope parameter of the Isgur-Wise function {xi}. The numerical estimates suggest the possibility of a significant difference of the slope parameter in the {ital B}{r arrow}{ital D} transitions from that in the {ital B}{r arrow}{ital D}{sup *} due to an insufficiently heavy mass of the charmed quark. Also the sum rule shows that the slope parameter should be a growing function of the mass of the spectator quark.

• OSTI ID: 7012312
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:7; ISSN PRVDA; 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
ALGEBRAIC CURRENTS
B MESONS
BASIC INTERACTIONS
BEAUTY PARTICLES
BOSONS
CHARM PARTICLES
CHARMED MESONS
COMPOSITE MODELS
CURRENTS
D MESONS
DECAY
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FLAVOR MODEL
FORM FACTORS
HADRONS
INTERACTIONS
MASS
MATHEMATICAL MODELS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PERTURBATION THEORY
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SUM RULES
VECTOR CURRENTS
WEAK INTERACTIONS