# Distribution amplitudes and decay constants for ({pi},K,{rho},K*) mesons in the light-front quark model

## Abstract

We present a calculation of the quark distribution amplitudes (DAs), the Gegenbauer moments, and decay constants for {pi}, {rho}, K, and K* mesons using the light-front quark model. While the quark DA for {pi} is somewhat broader than the asymptotic one, that for {rho} meson is very close to the asymptotic one. The quark DAs for K and K* show asymmetric form due to the flavor SU(3)-symmetry breaking effect. The decay constants for the transversely polarized {rho} and K* mesons (f{sub {rho}}{sup T} and f{sub K*}{sup T}) as well as the longitudinally polarized ones (f{sub {rho}} and f{sub K*}) are also obtained. Our averaged values for f{sub V}{sup T}/f{sub V}, i.e. (f{sub {rho}}{sup T}/f{sub {rho}}){sub av}=0.78 and (f{sub K*}{sup T}/f{sub K*}){sub av}=0.84, are found to be consistent with other model predictions. Especially, our results for the decay constants are in good agreement with the SU(6) symmetry relation, f{sub {rho}}{sub (K*)}{sup T}=(f{sub {pi}}{sub (K)}+f{sub {rho}}{sub (K*)})/2.

- Authors:

- Department of Physics, Teachers College, Kyungpook National University, Daegu, 702-701 (Korea, Republic of)
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202 (United States)

- Publication Date:

- OSTI Identifier:
- 21010995

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.034019; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMMETRY; DECAY AMPLITUDES; DISTRIBUTION; FLAVOR MODEL; K*-892 MESONS; KAONS; PIONS; POLARIZATION; QUARK MODEL; QUARKS; RHO-770 MESONS; SU-3 GROUPS; SU-6 GROUPS; SYMMETRY BREAKING

### Citation Formats

```
Choi, Ho-Meoyng, and Ji, Chueng-Ryong.
```*Distribution amplitudes and decay constants for ({pi},K,{rho},K*) mesons in the light-front quark model*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.034019.

```
Choi, Ho-Meoyng, & Ji, Chueng-Ryong.
```*Distribution amplitudes and decay constants for ({pi},K,{rho},K*) mesons in the light-front quark model*. United States. doi:10.1103/PHYSREVD.75.034019.

```
Choi, Ho-Meoyng, and Ji, Chueng-Ryong. Thu .
"Distribution amplitudes and decay constants for ({pi},K,{rho},K*) mesons in the light-front quark model". United States.
doi:10.1103/PHYSREVD.75.034019.
```

```
@article{osti_21010995,
```

title = {Distribution amplitudes and decay constants for ({pi},K,{rho},K*) mesons in the light-front quark model},

author = {Choi, Ho-Meoyng and Ji, Chueng-Ryong},

abstractNote = {We present a calculation of the quark distribution amplitudes (DAs), the Gegenbauer moments, and decay constants for {pi}, {rho}, K, and K* mesons using the light-front quark model. While the quark DA for {pi} is somewhat broader than the asymptotic one, that for {rho} meson is very close to the asymptotic one. The quark DAs for K and K* show asymmetric form due to the flavor SU(3)-symmetry breaking effect. The decay constants for the transversely polarized {rho} and K* mesons (f{sub {rho}}{sup T} and f{sub K*}{sup T}) as well as the longitudinally polarized ones (f{sub {rho}} and f{sub K*}) are also obtained. Our averaged values for f{sub V}{sup T}/f{sub V}, i.e. (f{sub {rho}}{sup T}/f{sub {rho}}){sub av}=0.78 and (f{sub K*}{sup T}/f{sub K*}){sub av}=0.84, are found to be consistent with other model predictions. Especially, our results for the decay constants are in good agreement with the SU(6) symmetry relation, f{sub {rho}}{sub (K*)}{sup T}=(f{sub {pi}}{sub (K)}+f{sub {rho}}{sub (K*)})/2.},

doi = {10.1103/PHYSREVD.75.034019},

journal = {Physical Review. D, Particles Fields},

number = 3,

volume = 75,

place = {United States},

year = {Thu Feb 01 00:00:00 EST 2007},

month = {Thu Feb 01 00:00:00 EST 2007}

}