# KNN system with chiral dynamics

## Abstract

We have performed a calculation of the scattering amplitude for the three-body system KNN assuming K scattering against a NN cluster using the fixed center approximation to the Faddeev equations. The KN amplitudes, which we take from chiral unitary dynamics, govern the reaction and we find a KNN amplitude that peaks around 40 MeV below the KNN threshold, with a width in |T|{sup 2} of the order of 50 MeV for spin 0 and has another peak around 27 MeV with similar width for spin 1. The results are in line with those obtained using different methods but implementing chiral dynamics. The simplicity of the approach allows one to see the important ingredients responsible for the results. In particular, we show the effects from the reduction of the size of the NN cluster due to the interaction with the K and those from the explicit consideration of the {pi}{Sigma}N channel in the three-body equations.

- Authors:

- Instituto de Fisica Corpuscular (centro mixto CSIC-UV) Institutos de Investigacion de Paterna, Aptdo. 22085, E-46071, Valencia, Spain and Department of Physics, Kocaeli University, 41380 Izmit (Turkey)
- (centro mixto CSIC-UV) Institutos de Investigacion de Paterna, Aptdo. 22085, E-46071, Valencia (Spain)

- Publication Date:

- OSTI Identifier:
- 21596614

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. C, Nuclear Physics

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.84.015209; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; CHIRALITY; FADDEEV EQUATIONS; KAONS; MEV RANGE 10-100; NUCLEON-NUCLEON INTERACTIONS; PIONS; SCATTERING; SCATTERING AMPLITUDES; SPIN; THREE-BODY PROBLEM; AMPLITUDES; ANGULAR MOMENTUM; BARYON-BARYON INTERACTIONS; BOSONS; CALCULATION METHODS; ELEMENTARY PARTICLES; ENERGY RANGE; EQUATIONS; HADRON-HADRON INTERACTIONS; HADRONS; INTERACTIONS; MANY-BODY PROBLEM; MESONS; MEV RANGE; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; PSEUDOSCALAR MESONS; STRANGE MESONS; STRANGE PARTICLES

### Citation Formats

```
Bayar, M., Yamagata-Sekihara, J., Oset, E., and Instituto de Fisica Corpuscular.
```*KNN system with chiral dynamics*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVC.84.015209.

```
Bayar, M., Yamagata-Sekihara, J., Oset, E., & Instituto de Fisica Corpuscular.
```*KNN system with chiral dynamics*. United States. doi:10.1103/PHYSREVC.84.015209.

```
Bayar, M., Yamagata-Sekihara, J., Oset, E., and Instituto de Fisica Corpuscular. Fri .
"KNN system with chiral dynamics". United States. doi:10.1103/PHYSREVC.84.015209.
```

```
@article{osti_21596614,
```

title = {KNN system with chiral dynamics},

author = {Bayar, M. and Yamagata-Sekihara, J. and Oset, E. and Instituto de Fisica Corpuscular},

abstractNote = {We have performed a calculation of the scattering amplitude for the three-body system KNN assuming K scattering against a NN cluster using the fixed center approximation to the Faddeev equations. The KN amplitudes, which we take from chiral unitary dynamics, govern the reaction and we find a KNN amplitude that peaks around 40 MeV below the KNN threshold, with a width in |T|{sup 2} of the order of 50 MeV for spin 0 and has another peak around 27 MeV with similar width for spin 1. The results are in line with those obtained using different methods but implementing chiral dynamics. The simplicity of the approach allows one to see the important ingredients responsible for the results. In particular, we show the effects from the reduction of the size of the NN cluster due to the interaction with the K and those from the explicit consideration of the {pi}{Sigma}N channel in the three-body equations.},

doi = {10.1103/PHYSREVC.84.015209},

journal = {Physical Review. C, Nuclear Physics},

issn = {0556-2813},

number = 1,

volume = 84,

place = {United States},

year = {2011},

month = {7}

}