Energy Spectrum of Nucleon Isobars in Strong Coupling Meson Theory

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概要

• 論文の詳細を見る

• With the large cutoff the energy spectrum of isobar states of nucleons with y=0, where the operator Y^i is defined by Y^i=L_<0^i>+T_<0^i>, is obtained by taking into due account the quantum-mechanical effect. The newly discovered resonance (T=1/2, J^P=1/2^+)with mass 1480 MeV in the pion-nucleon scattering process is explained as the first excited vibrational state. Since the isobar energies are not completely degenerate with respect to the quantum numbers of rotational motions in the strong coupling limit, the derivation of the "isobar energy condition" for the mass operator in the Cook, Goebel and Sakita work would have to be modified in its exact sense when one applies their procedure to the strong coupling theory with the Pauli-Dancoff representation. The nature of solutions with y=1 is very sensitive to the boundary condition to be applied, and it is shown that these states vanish. This will be an explanation of the reason why there is no evidence for lowlying resonance with T=1/2, J^P=3/2^+ or T=3/2, J^P=1/2^+ in the pion-nucleon scattering process.

• 理論物理学刊行会の論文
• 1967-03-25

著者

• Wakano Masami

  School Of Liberal Arts And Scieces Kyoto University

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