Prog. Theor. Phys. Vol. 98 No. 4 (1997) pp. 1005-1010

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Letters

Further Analysis on σ Particle Properties

Shin Ishida, Taku Ishida,^* Muneyuki Ishida,^** Kunio Takamatsu^*** and Tsuneaki Tsuru^*

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

(Received May 25, 1997)

Abstract:

In a previous re-analysis of the I=0 S-wave ππ-scattering phase shift, we have found evidence of a σ particle accompanied by a negative “repulsive core"-type background phase shift. We make further analysis under the K\overlineK threshold to determine the permissible range of σ mass and width in accordance with present experimental data.

URL : http://ptp.ipap.jp/link?PTP/98/1005/
DOI : 10.1143/PTP.98.1005

References:

S. Ishida, M. Y. Ishida, H. Takahashi, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 95 (1996), 745[PTP].
R. Delbourgo and M. D. Scadron, Phys. Rev. Lett. 48 (1982), 379[APS].
T. Hakioglu and M. D. Scadron, Phys. Rev. D42 (1990), 941[APS].
T. Hatsuda and T. Kunihiro, Prog. Theor. Phys. 74 (1985), 765[PTP]; Phys. Rep. 247 (1994), 221[CrossRef].
M. Takizawa et al., Phys. Lett. B208 (1988), 165; Nucl. Phys. A507 (1990), 617.
T. Ko and S. Rudaz, Phys. Rev. D50 (1994), 6877[APS].
Review of Particle Properties, Phys. Rev. D54 Part I (1996), 329, 355.
M. Taketani et al., Prog. Theor. Phys. Suppl. No. 39 (1967); No. 42 (1968).
In particular, see Chapter 7 (S. Otsuki, No. 42, p. 39) and also Chapter 6 (N. Hoshizaki, No. 42, p. 1).
M. Svec, Phys. Rev. D53 (1996), 2343[APS].
R. Kamiński, L. Leśniak and K. Rybicki, Z. Phys. C74 (1997), 79.
(i), (v) G. Grayer et al., Nucl. Phys. B75 (1974), 189; B64 (1973), 134.
(ii) V. Srinivasan et al., Phys. Rev. D12 (1975), 681[APS].
(iii) L. Rosselet et al., Phys. Rev. D15 (1977), 574[APS].
(iv) A. A. Bel'kov et al., JETP. Lett. 29 (1979), 579.
(vi) N. M. Cason et al., Phys. Rev. D28 (1983), 1586[APS].
S. D. Protopopescu et al., Phys. Rev. D7 (1973), 1279[APS].
K. L. Au, D. Morgan and M. R. Pennington, Phys. Rev. D41 (1987), 1633[APS].
W. Hoogland et al., Nucl. Phys. B126 (1977), 109; ibid. B69 (1974), 266.
J. P. Prukop et al., Phys. Rev. D10 (1974), 2055[APS].
M. J. Losty et al., Nucl. Phys. B69 (1974), 185.
D. Cohen et al., Phys. Rev. D7 (1973), 661[APS].
E. Colton et al., Phys. Rev. D3 (1971), 2028[APS].
W. D. Walker et al., Phys. Rev. Lett. 18 (1967), 630[APS].
M. Y. Ishida, Prog. Theor. Phys. 96 (1996), 853[PTP].
M. Y. Ishida, Soryushiron Kenkyu (Kyoto) 95 (1997), D148.
S. Weinberg, Phys. Rev. 166 (1968), 1568[APS].
T. Shiozaki, Prog. Theor. Phys. Suppl. Extra Number (1968), p. 44.
M. Bando, T. Kugo and K. Yamawaki, Phys. Rep. 164 (1988), 217[CrossRef].
T. Morozumi, C. S. Lim and A. I. Sanda, Phys. Rev. Lett. 65404[APS]. (1990),
M. Takizawa, T. Inoue and M. Oka, Prog. Theor. Phys. Suppl. No. 120 (1995), 335[PTP].
J. Gasser and H. Leutwyler, Ann. of Phys. 158 (1984), 142[CrossRef].
N. N. Achasov and G. N. Shestakov, Phys. Rev. D49 (1994), 5779[APS].
R. Kamiński, L. Leśniak and J.-P. Maillet, Phys. Rev. D50 (1994), 3145[APS].
N. A. Törnqvist and M. Roos, Phys. Rev. Lett. 76 (1996), 1575[APS].
M. Harada, F. Sannino and J. Schechter, Phys. Rev. D54 (1996), 1991[APS].
E. P. Shabalin, Yadern. Fiz. 49 (1989), 588 (Sov. J. Nucl. Phys. 49 (1989), 365.
D. Alde et al., Phys. Lett. B397 (1997), 350.
T. Ishida, Doctor Thesis of Tokyo University (1996), KEK Report 97-8.

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