# Kaon semileptonic decay (K{sub l3}) form factors from the instanton vacuum

## Abstract

We investigate the kaon semileptonic decay (K{sub l3}) form factors within the framework of the nonlocal chiral quark model ({chi}QM) from the instanton vacuum, taking into account the effects of flavor SU(3) symmetry breaking. We also consider the problem of gauge invariance arising from the momentum-dependent quark mass in the present work. All theoretical calculations are carried out without any adjustable parameter, the average instanton size ({rho}{approx}1/3 fm) and the interinstanton distance (R{approx}1 fm) having been fixed. We also show that the present results satisfy the Callan-Treiman low-energy theorem as well as the Ademollo-Gatto theorem. Using the K{sub l3} form factors, we evaluate relevant physical quantities. It turns out that the effects of flavor SU(3) symmetry breaking are essential in reproducing the kaon semileptonic form factors. The present results are in good agreement with experiments, and are compatible with other model calculations.

- Authors:

- Department of Physics and Nuclear Physics and Radiation Technology Institute (NuRI), Pusan National University, Busan 609-735 (Korea, Republic of)

- Publication Date:

- OSTI Identifier:
- 21020483

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.75.094011; (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; CHIRAL SYMMETRY; CHIRALITY; FLAVOR MODEL; FORM FACTORS; GAUGE INVARIANCE; INSTANTONS; KAONS; LOW-ENERGY THEOREM; QUARK MODEL; QUARKS; REST MASS; SEMILEPTONIC DECAY; SU-3 GROUPS; SYMMETRY BREAKING

### Citation Formats

```
Nam, Seung-il, and Kim, Hyun-Chul.
```*Kaon semileptonic decay (K{sub l3}) form factors from the instanton vacuum*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.094011.

```
Nam, Seung-il, & Kim, Hyun-Chul.
```*Kaon semileptonic decay (K{sub l3}) form factors from the instanton vacuum*. United States. doi:10.1103/PHYSREVD.75.094011.

```
Nam, Seung-il, and Kim, Hyun-Chul. Tue .
"Kaon semileptonic decay (K{sub l3}) form factors from the instanton vacuum". United States.
doi:10.1103/PHYSREVD.75.094011.
```

```
@article{osti_21020483,
```

title = {Kaon semileptonic decay (K{sub l3}) form factors from the instanton vacuum},

author = {Nam, Seung-il and Kim, Hyun-Chul},

abstractNote = {We investigate the kaon semileptonic decay (K{sub l3}) form factors within the framework of the nonlocal chiral quark model ({chi}QM) from the instanton vacuum, taking into account the effects of flavor SU(3) symmetry breaking. We also consider the problem of gauge invariance arising from the momentum-dependent quark mass in the present work. All theoretical calculations are carried out without any adjustable parameter, the average instanton size ({rho}{approx}1/3 fm) and the interinstanton distance (R{approx}1 fm) having been fixed. We also show that the present results satisfy the Callan-Treiman low-energy theorem as well as the Ademollo-Gatto theorem. Using the K{sub l3} form factors, we evaluate relevant physical quantities. It turns out that the effects of flavor SU(3) symmetry breaking are essential in reproducing the kaon semileptonic form factors. The present results are in good agreement with experiments, and are compatible with other model calculations.},

doi = {10.1103/PHYSREVD.75.094011},

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

number = 9,

volume = 75,

place = {United States},

year = {Tue May 01 00:00:00 EDT 2007},

month = {Tue May 01 00:00:00 EDT 2007}

}