Compositeness of hadron resonances in finite volume
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.
Cite
@article{arxiv.1703.02675,
title = {Compositeness of hadron resonances in finite volume},
author = {Yujiro Tsuchida and Tetsuo Hyodo},
journal= {arXiv preprint arXiv:1703.02675},
year = {2018}
}
Comments
21 pages, 16 figures, published version