Pole model of B -meson decays into baryon-antibaryon pairs
- Laboratoire de Physique Theorique, Faculte des Sciences de Rabat, Ave. Ibn Battouta, BP1014, Rabat (Morocco)
- Laboratoire de Physique Theorique et Hautes Energies, Universite de Paris XI, Batiment 211, 91405 Orsay CEDEX (France)
We reconsider in detail the pole model for baryonic {ital B} decays, first crudely estimated by Deshpande {ital et} {ital al}. We make a complete calculation on the basis of the quark model by an extensive evaluation of strong- and weak-interaction vertices. We also consider charmed decays, and the previously lacking {ital J}{sup {ital P}}=1/2{sup {minus}} baryon poles that lead to large parity-violating amplitudes. The strong couplings are calculated in absolute magnitude by our quark-pair-creation model in a crossed channel. The effects of unequal quark masses are fully taken into account, correcting previous published results, and introducing a large set of new calculations for baryon couplings. We emphasize the selection rules and algebraic ratios of rates that follow from either color antisymmetry of the baryon wave functions or from the pole model. We pay particular attention to the ratio of parity-conserving to parity-violating rates, as it enters in tests of {ital CP} violation involving modes such as {ital p{bar p}}. At the same time, we make a detailed discussion of the very principles of the pole model, which exhibits a series of yet overlooked problems: ambiguity in the choice of relativistic couplings, extrapolation of strong couplings to complex momentum transfer, and of weak baryon-baryon matrix elements to nonzero and large transfers. For both theoretical and experimental reasons, it is suggested that decays with a {Delta} are largely overestimated because of a basic weakness of the pole model for high spin. On the other hand, results with 1/2{sup +} baryons in the final state share several features of the QCD-sum-rule calculation by Chernyak and Zhitnisky, while differing in detailed predictions that must await experimental test.
- OSTI ID:
- 6143094
- Journal Information:
- Physical Review, D (Particles Fields); (USA), Vol. 43:5; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BARYONS
PARTICLE PRODUCTION
BEAUTY MESONS
DECAY
ANTIBARYONS
CHARM PARTICLES
COLOR MODEL
COUPLING CONSTANTS
MASS
MATRIX ELEMENTS
P INVARIANCE
PAULI PRINCIPLE
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUARK MODEL
SELECTION RULES
SUM RULES
WAVE FUNCTIONS
ANTIMATTER
ANTIPARTICLES
BEAUTY PARTICLES
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
QUANTUM FIELD THEORY
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645400 - High Energy Physics- Field Theory