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Compositeness for the $$N^{ast}$$ and $$Delta ^{ast}$$ resonances from the $$pi N$$ scattering amplitude

$$pi N$$散乱振幅から探る$$N^{ast}$$及び$$Delta ^{ast}$$共鳴の複合性

関原 隆泰

Sekihara, Takayasu

$$N^{ast}$$及び$$Delta ^{ast}$$共鳴のメソン-バリオン成分を複合性の観点から調べる。複合性とは、メソン-バリオン散乱振幅から得られる2体波動関数のノルムで定義される。この目的のため、2体波動関数が(Schrodinger方程式ではなく)散乱振幅から得られることを幾つかの模型で示す。続いて、精度よく求められている$$pi N$$散乱振幅から$$N^{ast}$$/$$Delta ^{ast}$$複合性を評価する計画を説明する。

The meson-baryon components for the $$N^{ast}$$ and $$Delta ^{ast}$$ resonances can be investigated in terms of the compositeness, which is defined as the norm of the two-body wave function from the meson-baryon scattering amplitudes. For this purpose I first show that one can calculate the two-body wave function from the scattering amplitudes (not by the Schrodinger equation) by considering several schematic models. Then I explain my plan to evaluate $$N^{ast}$$/$$Delta ^{ast}$$ compositeness from the $$pi N$$ scattering amplitudes, which has been determined precisely in the partial wave analyses.

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