Multi-$\pi^+$ systems in finite volume
High Energy Physics - Lattice
2020-06-24 v2 High Energy Physics - Phenomenology
Abstract
We present a formalism to describe two- and three- dynamics in finite volume, the formalism is based on combination of a variational approach and the Faddeev method. Both pair-wise and three-body interactions are included in the presentation. Impacts of finite lattice spacing and the cubic lattice symmetry are also discussed. To illustrate application of the formalism, the pair-wise contact interaction that resembles the leading order interaction terms in chiral effective theory is used to analyze recent lattice results.
Keywords
Cite
@article{arxiv.2002.09266,
title = {Multi-$\pi^+$ systems in finite volume},
author = {Peng Guo and Bingwei Long},
journal= {arXiv preprint arXiv:2002.09266},
year = {2020}
}
Comments
Mislabeling of 3 pions irreps are corrected in Fig.6. Fig.7 is replotted as (k/mpi)*cot*delta vs (k/mpi)^2. A few comments are added in text