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関原 隆泰; 兵藤 哲雄*; 慈道 大介*; 山縣(関原) 淳子*; 安井 繁宏*
Proceedings of Science (Internet), 281, p.289_1 - 289_8, 2017/05
In this contribution, I introduce the physical meaning of the compositeness, its expression, and theoretical evaluation in effective models. In particular, we show that the two-body wave function of the bound state corresponds to the residue of the scattering amplitude at the bound state pole, which means that solving the Lippmann-Schwinger equation at the bound state pole is equivalent to evaluating the two-body wave function of the bound state. Then, we evaluate the compositeness for the so-called dynamically generated resonances in the chiral unitary approach, such as 
, 
, and 
, and investigate their internal structure in terms of the hadronic molecular components.
関原 隆泰
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For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, we establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. For this purpose, we first show that the two-body wave function of the bound state corresponds to the residue of the off-shell scattering amplitude at the bound state pole, by considering solutions of both the Schr
dinger and Lippmann-Schwinger equations. This means that solving the Lippmann-Schwinger equation at the bound state pole is equivalent to evaluating the two-body wave function of the bound state. We apply this method to candidates of hadronic molecules such as described in hadron-hadron scattering amplitudes in hadron effective models and calculate the compositeness as the norm of the two-body wave function.
