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Prog. Theor. Phys. Vol. 95 No. 4 (1996) pp. 745-766

[ Full Text PDF : FREE ACCESS (1135K) ]

An Analysis of ππ-Scattering Phase Shift and Existence of σ(555) Particle

Shin Ishida, Muneyuki Ishida,* Hiroyuki Takahashi, Taku Ishida,**,**** Kunio Takamatsu*** and Tsuneaki Tsuru****

Atomic Energy Research Institite, College of Science and Technology, Nihon University, Tokyo 101
*Department of Physics, University of Tokyo, Tokyo 113
**Institute for Cosmic Ray Research, University of Tokyo, Tanashi 188
***Department of Engineering, Miyazaki University, Miyazaki 988-12
****National Laboratory for High Energy Physics (KEK), Tsukuba 305

(Received November 22, 1995)

Abstract:

In most of the Nambu·Jona-Lasinio (NJL)-type models, realizing the hidden chiral symmetry, the existence of a scalar particle σ is needed with a mass mσ = 2mq, as a partner of the Nambu-Goldstone boson π. However, the results of many analyses on ππ phase-shift thus far made have been negative for its existence. In this paper we re-analyze the phase-shift, applying a new method, the interfering amplitude method, which treats the T-matrix directly and describes multi-resonances in conformity with the unitarity. As a result, the existence of σ has been strongly suggested from the behavior of the ππ→ππ phase shift between the ππ- and the K-thresholds, with mass = 553.3 ±0.5stMeV and textwidth = 242.6 ±1.2_stMeV. The most crucial point in our analysis is the introduction of a negative background phase, possibly reflecting a ``repulsive core'' in ππ interactions. The properties of f_0(980) are also investigated from data including those over the K threshold. Its mass is obtained as 993.2 ±6.5_st ±6.9_sysMeV. Its width is about a hundred MeV, although this depends largely on the treatment of the elasticity and the ππ→K phase shift, both of which may have large experimental uncertainties.


URL : http://ptp.ipap.jp/link?PTP/95/745/
DOI : 10.1143/PTP.95.745

[ Full Text PDF : FREE ACCESS (1135K) ] Citation:

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