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arXiv · 1703.02675

Compositeness of hadron resonances in finite volume

Yujiro Tsuchida·Tetsuo Hyodo
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Abstract

We develop a theoretical framework to quantify the structure of unstable hadron resonances. With the help of the corresponding system in a finite volume, we define the compositeness of resonance states which can be interpreted as a probability. This framework is used to study the structure of the scalar mesons f_0(980) and a_0(980). In both mesons, the Kbar K component dominates about a half of the wave function. The method is also applied to the Lambda(1405) resonance. We argue that a single energy level in finite volume represents the two eigenstates in infinite volume. The KbarK N component of Lambda(1405), including contributions from both eigenstates, is found to be 58%, and the rest is composed of the pi Sigma and other channels.

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Yujiro Tsuchida, Tetsuo Hyodo. 2018-08-17. Compositeness of hadron resonances in finite volume. https://doi.org/10.1103/physrevc.97.055213

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