Composite Model and Regge Pole
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概要
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Relations between the composite models and the Regge behaviors of the hadrons are discussed. Composite particles are expected to show Regge behaviors owing to the smoothness of the dependence on angular momentum of the "force" acting between the constituent particles. π^-p charge exchange scattering with the ρ-trajectory is analyzed explicitly. Taking the quark model as an example we Reggeize the crossed channel quark-antiquark scattering amplitude by the use of the additivity assumption and the crossing relation between the direct channel quark-quark or quark-antiquark amplitudes and the crossed channel amplitudes. Calculated results are insensitive to the mass of the quark, and the trajectory agrees with experimental values for |t| Isim 1 (GeV/c)^2. The residue of the ρ-trajectory appearing in the S-matrices for quark-quark and quark-antiquark scattering, b(t), varies slowly with t. The residue in the S-matrix for π^-p charge exchange scattering is obtained by multiplying b(t) by the form factors of the composite hadrons, and it turns out that the resulting residue function has an exponential dependence on t, which is required to fit the experimental data. The magnitude of the exponent agrees very well with the one determined by other experimental data. It is conjectured that the residue function of the Regge poles appearing in the S-matrix for hadron-hadron scattering reflects the compositeness of the hadrons directly and is determined by the spatial extension of the wave function of the constituent particles in the hadrons.
- 理論物理学刊行会の論文
- 1968-05-25
著者
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Yoshida Toshihiro
Department Of Mechanical Engineering Osaka Institute Of Technology (at Present; Division Of Advanced
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Yoshida Toshihiro
Department Of Physics Kyoto University
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Machida Shigeru
Department Of Materials Science And Chemical Engineering Shizuoka University
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