# 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 »

- 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}

}