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Title: Semileptonic Decays of Heavy Omega Baryons in a Quark Model

Abstract

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 paper 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 non-recoil 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 themore » 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.« less

Authors:
; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE - Office of Energy Research (ER)
OSTI Identifier:
877956
Report Number(s):
JLAB-THY-06-480; DOE/ER/40150-3824
TRN: US0601420
DOE Contract Number:  
AC05-84ER40150
Resource Type:
Journal Article
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; DECAY; EXCITED STATES; FORM FACTORS; GROUND STATES; HAMILTONIANS; HARMONIC OSCILLATORS; OMEGA BARYONS; QUARK MODEL; SEMILEPTONIC DECAY; SYMMETRY; WAVE FUNCTIONS

Citation Formats

Pervin, Muslema, Roberts, Winston, and Capstick, Simon. Semileptonic Decays of Heavy Omega Baryons in a Quark Model. United States: N. p., 2006. Web.
Pervin, Muslema, Roberts, Winston, & Capstick, Simon. Semileptonic Decays of Heavy Omega Baryons in a Quark Model. United States.
Pervin, Muslema, Roberts, Winston, and Capstick, Simon. Fri . "Semileptonic Decays of Heavy Omega Baryons in a Quark Model". United States. https://www.osti.gov/servlets/purl/877956.
@article{osti_877956,
title = {Semileptonic Decays of Heavy Omega Baryons in a Quark Model},
author = {Pervin, Muslema and Roberts, Winston and Capstick, Simon},
abstractNote = {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 paper 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 non-recoil 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.},
doi = {},
url = {https://www.osti.gov/biblio/877956}, journal = {},
number = ,
volume = ,
place = {United States},
year = {2006},
month = {3}
}