Semileptonic decays of heavy {omega} baryons in a quark model

Journal Article · Tue Aug 15 00:00:00 EDT 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.025205· OSTI ID:20863744

Pervin, Muslema ^[1]; Roberts, W ^[1]; Capstick, Simon ^[1]

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1. Department of Physics, Florida State University, Tallahassee, Florida 32306 (United States)

The semileptonic decays of {omega}{sub c} and {omega}{sub b} are treated in the framework of a constituent quark model developed in a previous article on the semileptonic decays of heavy {lambda} baryons. Analytic results for the form factors for the decays to ground states and a number of excited states are evaluated. For {omega}{sub b} to {omega}{sub c} the form factors obtained are shown to satisfy the relations predicted at leading order in the heavy-quark effective theory at the nonrecoil point. A modified fit of nonrelativistic and semirelativistic Hamiltonians generates configuration-mixed baryon wave functions from the known masses and the measured {lambda}{sub c}{sup +}{yields}{lambda}e{sup +}{nu} rate, with wave functions expanded in both harmonic oscillator and Sturmian bases. Decay rates of {omega}{sub b} to pairs of ground and excited {omega}{sub c} states related by heavy-quark symmetry calculated using these configuration-mixed wave functions are in the ratios expected from heavy-quark effective theory to a good approximation. Our predictions for the semileptonic elastic branching fraction of {omega}{sub Q} vary minimally within the models we use. We obtain an average value of (84{+-}2%) for the fraction of {omega}{sub c}{yields}{xi}{sup (*)} decays to ground states and 91% for the fraction of {omega}{sub c}{yields}{omega}{sup (*)} decays to the ground state {omega}. The elastic fraction of {omega}{sub b}{yields}{omega}{sub c} ranges from about 50% calculated with the two harmonic-oscillator models to about 67% calculated with the two Sturmian models.

• OSTI ID: 20863744
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 74; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
B QUARKS
BEAUTY BARYONS
BRANCHING RATIO
C QUARKS
EXCITED STATES
FORM FACTORS
GROUND STATES
HAMILTONIANS
HARMONIC OSCILLATOR MODELS
HARMONIC OSCILLATORS
LAMBDA C PLUS BARYONS
OMEGA C NEUTRAL BARYONS
QUARK MODEL
REST MASS
SEMILEPTONIC DECAY
SYMMETRY
T QUARKS
WAVE FUNCTIONS