# Theoretical support for the {pi}(1300) and the recently claimed f{sub 0}(1790) as molecular resonances

## Abstract

A study of three-pseudoscalar {pi}KK and {pi}{pi}{eta} coupled system is made by solving the Faddeev equations within an approach based on unitary chiral dynamics. A resonance with total isospin one and spin-parity J{sup {pi}=}0{sup -} is found with mass {approx}1400 MeV when the KK system gets reorganized as the f{sub 0}(980). This resonance is identified with the {pi}(1300) listed by the Particle Data Group. Further, the two-body amplitude which describes the interaction between a {pi} and the f{sub 0}(980) is extracted from the study of the {pi}KK and {pi}{pi}{eta} system and is then employed to study the f{sub 0}(980){pi}{pi} system. As a result, a scalar resonance is found near 1790 MeV which drives the two f{sub 0}(980){pi} systems to resonate as the {pi}(1300) while the invariant mass of the two pions falls in the mass region of the scalar {sigma}(600). These findings support the existence of a new f{sub 0} resonance near 1790 MeV, as found by the BES and Crystal Barrel collaborations. Our results show that this f{sub 0}(1790) is definitely distinct to f{sub 0}(1710), the latter of which seems to possess a glueball structure dominantly.

- Authors:

- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)
- Research Center for Nuclear Physics (RCNP), Mihogaoka 10-1, Ibaraki 567-0047 (Japan)

- Publication Date:

- OSTI Identifier:
- 21607785

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.84.074027; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; CHIRALITY; F0-980 MESONS; FADDEEV EQUATIONS; GEV RANGE 01-10; GLUEBALLS; INTERACTIONS; ISOSPIN; KAONS; MASS; PARITY; PI-1300 MESONS; PIONS; PSEUDOSCALARS; RESONANCE; SIGMA BARYONS; SPIN; TWO-BODY PROBLEM; ANGULAR MOMENTUM; BARYONS; BOSONS; ELEMENTARY PARTICLES; ENERGY RANGE; EQUATIONS; FERMIONS; GEV RANGE; HADRONS; HYPERONS; MANY-BODY PROBLEM; MESONS; PARTICLE PROPERTIES; PSEUDOSCALAR MESONS; SCALAR MESONS; STRANGE MESONS; STRANGE PARTICLES

### Citation Formats

```
Martinez Torres, A., Jido, D., Khemchandani, K. P., and Hosaka, A.
```*Theoretical support for the {pi}(1300) and the recently claimed f{sub 0}(1790) as molecular resonances*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.84.074027.

```
Martinez Torres, A., Jido, D., Khemchandani, K. P., & Hosaka, A.
```*Theoretical support for the {pi}(1300) and the recently claimed f{sub 0}(1790) as molecular resonances*. United States. doi:10.1103/PHYSREVD.84.074027.

```
Martinez Torres, A., Jido, D., Khemchandani, K. P., and Hosaka, A. Sat .
"Theoretical support for the {pi}(1300) and the recently claimed f{sub 0}(1790) as molecular resonances". United States. doi:10.1103/PHYSREVD.84.074027.
```

```
@article{osti_21607785,
```

title = {Theoretical support for the {pi}(1300) and the recently claimed f{sub 0}(1790) as molecular resonances},

author = {Martinez Torres, A. and Jido, D. and Khemchandani, K. P. and Hosaka, A.},

abstractNote = {A study of three-pseudoscalar {pi}KK and {pi}{pi}{eta} coupled system is made by solving the Faddeev equations within an approach based on unitary chiral dynamics. A resonance with total isospin one and spin-parity J{sup {pi}=}0{sup -} is found with mass {approx}1400 MeV when the KK system gets reorganized as the f{sub 0}(980). This resonance is identified with the {pi}(1300) listed by the Particle Data Group. Further, the two-body amplitude which describes the interaction between a {pi} and the f{sub 0}(980) is extracted from the study of the {pi}KK and {pi}{pi}{eta} system and is then employed to study the f{sub 0}(980){pi}{pi} system. As a result, a scalar resonance is found near 1790 MeV which drives the two f{sub 0}(980){pi} systems to resonate as the {pi}(1300) while the invariant mass of the two pions falls in the mass region of the scalar {sigma}(600). These findings support the existence of a new f{sub 0} resonance near 1790 MeV, as found by the BES and Crystal Barrel collaborations. Our results show that this f{sub 0}(1790) is definitely distinct to f{sub 0}(1710), the latter of which seems to possess a glueball structure dominantly.},

doi = {10.1103/PHYSREVD.84.074027},

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

issn = {0556-2821},

number = 7,

volume = 84,

place = {United States},

year = {2011},

month = {10}

}