---

Prog. Theor. Phys. Vol. 58 No. 2 (1977) pp. 604-613

Partial Wave Dispersion Relation with Inelasticf Cut and Pion-Pion Scattering in the 1 GeV Region

Susumu Furuichi, Toshiaki Iwami,^* Hiroyuki Kanada,^* Ken Nakamura and Keiji Watanabe^**

Department of Physics, Rikkyo University, Tokyo 171
^*Department of Physics, Niigata University, Niigata 950-21
^**Department of Physics, Nagoya University, Nagoya 464

(Received January 12, 1977)

Abstract:

Pion-pion scattering is investigated by means of the partial wave dispersion relation with the inelastic cut by taking account of the recent experimental data around 1 GeV. The inelasticity η⁰⁽⁰⁾ for the I=0 S-wave is treated as an important input and several examples of η⁰⁽⁰⁾ are tested.
The subtraction constant at the symmetry point λ and the cutoff momentum ν_c are the free parameters of this analysis. For λ= 0 and ν_c = 25-27.5 m_π², both of the S-wave and P-wave phase shifts below 800 MeV are well reproduced. In the energy region around 1 GeV, twice subtracted dispersion relation is required to reproduce the so-called increasing phase shift for the I=0 S-wave. The coupled dispersion relation is also investigated with the inelastic channel (ππ→K K). The twice subtraction reproduces experiments reasonably well for both the single- and two-channel dispersion relations in the GeV region.

URL : http://ptp.ipap.jp/link?PTP/58/604/
DOI : 10.1143/PTP.58.604

[ Full Text PDF : FREE ACCESS (890K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. J. T. Carroll et al., Phys. Rev. Lett. 28 (1972), 318[APS].
2. S. D. Protopopescu et al., Phys. Rev. D 7 (1973), 1279[APS].
3. B. Hyams et al., Nucl. Phys. B 64 (1973), 134[CrossRef].
   G. Grayer et al., Nucl. Phys. B 75 (1974), 189[CrossRef].
4. H. Kanada and K. Watanabe, Prog. Theor. Phys. 32 (1964), 254[PTP].
   S. Furuichi, H. Kanada and K. Watanabe, Prog. Theor. Phys. 31 (1964), 1172[PTP].
5. S. Furuichi, H. Kanada and K. Watanabe, Prog. Theor. Phys. 42 (1969), 50[PTP].
6. G. Frye and R. L. Warnock, Phys. Rev. 130 (1963), 478[APS].
7. E. Malamud and P. E. Schlein, Phys. Rev. Lett. 19 (1967), 1056[APS].
8. S. Furuichi, H. Kanada and K. Watanabe, Prog. Theor. Phys. 44 (1970), 711[PTP].
9. D. Morgan and G. Shaw, Phys. Rev. D 2 (1970), 520[APS].
   E. P. Tryon, Phys. Lett. B 36 (1971), 470[CrossRef].
   B. F. Gore, Phys. Rev. D 6 (1972), 666[APS].
   M. R. Pennington and S. D. Protopopescu, Phys. Rev. D 7 (1973), 1429[APS].
   J. L. Basdevant et al., Nucl. Phys. B 72 (1974), 413[CrossRef].
   M. R. Pennington, Nuovo Cim. A 25 (1975), 149.
10. See, for example, S. Furuichi and H. Suzuki, Prog. Theor. Phys. 39 (1968), 420[PTP].
    H. Suzuki, Prog. Theor. Phys. 54 (1975), 143[PTP].
11. S. Weinberg, Phys. Rev. Lett. 17 (1966), 616[APS].
12. W. Männer, Contribution to the IVth International Conference on Experimental Meson Spectroscopy, Boston, Massachusetts, U. S. A., April 1974, and CERN preprint.
13. Y. Fujii and M. Fukugita, Nucl. Phys. B 85 (1975), 179[CrossRef].
    D. Morgan, Phys. Lett. B 51 (1974), 71[CrossRef].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 959-973 :

   Combined Studies of πN and NN Scattering and Electromagnetic Form Factor of Nucleon Based on the ππ Dynamics

   Susumu Furuichi, Hiroyuki Kanada and Keiji Watanabe

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.