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- W1921036774 abstract "We present a formulation of the compositeness for baryonic resonances in order to discuss the meson-baryon molecular structure inside the resonances. For this purpose, we derive a relation between the residue of the scattering amplitude at the resonance pole position and the two-body wave function of the resonance in a sophisticated way, and we define the compositeness as the norm of the two-body wave functions. As applications, we investigate the compositeness of the $Delta (1232)$, $N (1535)$, and $N (1650)$ resonances from precise $pi N$ scattering amplitudes in a unitarized chiral framework with the interaction up to the next-to-leading order in chiral perturbation theory. The $pi N$ compositeness for the $Delta (1232)$ resonance is evaluated in the $pi N$ single-channel scattering, and we find that the $pi N$ component inside $Delta (1232)$ in the present framework is nonnegligible, which supports the previous work. On the other hand, the compositeness for the $N (1535)$ and $N (1650)$ resonances is evaluated in a coupled-channels approach, resulting that the $pi N$, $eta N$, $K Lambda$ and $K Sigma$ components are negligible for these resonances." @default.
- W1921036774 created "2016-06-24" @default.
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- W1921036774 date "2016-03-22" @default.
- W1921036774 modified "2023-10-17" @default.
- W1921036774 title "Compositeness of baryonic resonances: Application to the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi mathvariant=normal>Δ</mml:mi><mml:mo>(</mml:mo><mml:mn>1232</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mo>,</mml:mo><mml:mspace width=0.16em /><mml:mrow><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mn>1535</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>, and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mn…" @default.
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- W1921036774 doi "https://doi.org/10.1103/physrevc.93.035204" @default.
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