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Prog. Theor. Phys. 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^**

Department of Physics, Rikkyo University, Tokyo 171
^*Department of Physics, Niigata University, Niigata 950-21
^**Department of Physics, Meisei University, Hino, Tokyo 191

(Received April 11, 1980)

Abstract:

Systematic studies of the pion-nucleon and the nucleon-nucleon scatterings and the isovector part of the nucleon electromagnetic form factor on the basis of pion-pion dynamics are performed by using the twice-subtracted dispersion relation.
Starting from the pion-pion amplitude, the I=L=1 and I=L=0 helicity amplitudes of the (ππ↔N N) process can be determined by the investigations of the form factor and the pion-nucleon scattering, respectively. The ρ'-meson (1600MeV) contribution to the form factor is shown to play an important role in the higher momentum region. In addition to the two-pion contribution evaluated from ππ↔N N amplitudes to the nucleon-nucleon scattering, inclusion of the one-pion, one ω-meson and one η-meson contribution leads us to the result which agrees well with the experiment. It is shown that the cut-off dependence of the results is considerably weakened by using the twice-subtracted dispersion relation for the I=L=0 helicity amplitude of the (ππ↔N N) process. As a whole, it is shown that the experimental data can be reproduced very well by our systematic treatment if the contribution from both correlating and uncorrelating two-pion states are correctly included.

URL : http://ptp.ipap.jp/link?PTP/64/959/
DOI : 10.1143/PTP.64.959

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 83 No. 3 (1990) pp. 565-574 :

   Uncorrelated Two Pion Effects in the Superconvergent Dispersion Relation for the Nucleon Electromagnetic Form Factors

   Susumu Furuichi and Keiji Watanabe

2. Progress of Theoretical Physics Vol. 95 No. 4 (1996) pp. 745-766 :

   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

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