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論文

$$bar{K} bar{D} N$$ molecular state as a "$$u u d s bar{c}$$ pentaquark" in a three-body calculation

山縣 淳子*; 関原 隆泰

Physical Review C, 100(1), p.015203_1 - 015203_12, 2019/07

 被引用回数:2 パーセンタイル:22.89(Physics, Nuclear)

We predict a new three-body hadronic molecule composed of antikaon $$bar{K}$$, anticharm meson $$bar{D}$$, and nucleon $$N$$ with spin/parity $$J^{P}$$ = 1/2$$^{+}$$ and isospin $$I$$ = 1/2. This state behaves like an explicit pentaquark state because its minimal quark configuration is $$u u d s bar{c}$$ or $$u d d s bar{c}$$. Owing to the attraction between every pair of two hadrons, in particular the $$bar{K} bar{D}$$ attraction which dynamically generates $$D_{s0} (2317)^{-}$$ and $$bar{K} N$$ attraction which dynamically generates $$Lambda (1405)$$, the $$bar{K} bar{D} N$$ system is bound, and its eigenenergy is calculated as 3244-17$$i$$ MeV in a nonrelativistic three-body potential model. We discuss properties of this $$bar{K} bar{D} N$$ quasibound state which emerge uniquely in three-body dynamics.

論文

Two-body wave functions, compositeness, and the internal structure of dynamically generated resonances

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 $$Lambda (1405)$$, $$N (1535)$$, and $$N (1650)$$, and investigate their internal structure in terms of the hadronic molecular components.

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