English

Density of States of a Coupled-Channel System

High Energy Physics - Phenomenology 2020-09-09 v1 Nuclear Theory

Abstract

We demonstrate how an effective density of states can be derived from the S-matrix describing a coupled-channel system. Besides the locations of poles, the phase of the determinant of the S-matrix encodes essential details in characterizing the dynamics of resonant and non-resonant interactions. The density of states is computed for the two channel scattering problem (ππ,KKˉ\pi\pi, K \bar{K}, S-wave), and the influences from the various dynamical structures: poles, roots, branch cuts, and Riemann sheets, are examined.

Keywords

Cite

@article{arxiv.2007.03392,
  title  = {Density of States of a Coupled-Channel System},
  author = {Pok Man Lo},
  journal= {arXiv preprint arXiv:2007.03392},
  year   = {2020}
}

Comments

10 pages, 3 figures