Pion-Pion Interaction and Pion-Nucleon Scattering
スポンサーリンク
概要
- 論文の詳細を見る
Pion-pion interaction is analyzed by using the dispersion relation for pion-nucleon scattering obtained by keeping the momentum transfer between an initial pion and a final nucleon constant. In order to take into account the singularity of two-pion threshold in the dispersion relation, the dispersion relation may be regarded as an integral equation for pion-nucleon scattering amplitude with the kernel of a pion-pion scattering amplitude. When this solution is compared with experiments on pion-nucleon scattering, it is found that the unknown quantity in the dispersion relation is only a pion-pion scattering amplitude. Therefore, if pion-pion amplitude is expressed in terms of an unknown parameter such as scattering length, then this value can be determined via dispersion relation. Thus we are led to the following conclusion: In the isotopic spin state I=0 (S-wave) of pion-pion system pion-pion interaction is attractive and the scattering length is of the order of one pion Compton wavelength, while in the isotopic spin state I=1 (P-wave) of pion-pion state a definite conclusion could not be obtained. Finally the possibility of explaining the momentum dependence of pion-nucleon phase shift δ_<13> related to the pion-pion interaction is briefly discussed.
- 理論物理学刊行会の論文
- 1960-04-25
著者
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Ueda Yoshiaki
Department Of Cardiovascular Medicine Sanda City Hospital
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Takahashi Atsushi
Department Of Cardiology Akita City General Hospital
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Ueda Yoshiaki
Department Of Physics Tohoku University
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ISHIDA Kin-ichi
Faculty of Liberal Arts and Science, Yamagata University
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Ishida Kin-ichi
Faculty Of Liberal Arts And Science Yamagata University
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Takahashi Atsushi
Departmant Of Surgery(i) Kanazawa University School Of Medicine
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Takahashi Atsushi
Department Of Physics Tohoku University
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UEDA Yoshiaki
Department of Physics, Tohoku University
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TAKAHASHI Atsushi
Department of Physics, Tohoku University
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