Publications
Publication Information
Title | Efficient solution of the multi-channel Luescher determinant condition through eigenvalue decomposition |
Authors | Jozef Dudek, David Wilson, Antoni Woss |
JLAB number | JLAB-THY-20-3133 |
LANL number | arXiv:2001.08474 |
Other number | DOE/OR/23177-4898 |
Document Type(s) | (Journal Article) |
Associated with EIC: | No |
Supported by Jefferson Lab LDRD Funding: | No |
Funding Source: | Nuclear Physics (NP) |
Journal Compiled for Physical Review D Volume 101 Page(s) 114505 Refereed | |
Publication Abstract: | We present a method for efficiently finding solutions of Lu scher's quantisation condition, the equation which relates two-particle scattering amplitudes to the discrete spectrum of states in a periodic spatial volume of finite extent, such as that present in lattice QCD. The approach proposed is based on an eigenvalue decomposition in the space of coupled-channels and partial-waves, which proves to have several desirable and simplifying features that are of great benefit when considering problems beyond simple elastic scattering of spinless particles. We illustrate the method with a toy model of vector-vector scattering featuring a high density of solutions, and with an application to explicit lattice QCD energy level data describing JP = 1? and 1+ scattering in several coupled channels. |
Experiment Numbers: | other |
Group: | THEORY CENTER |
Document: | |
DOI: | https://doi.org/10.1103/PhysRevD.101.114505 |
Accepted Manuscript: | PhysRevD.101.114505.pdf |
Supporting Documents: | |
Supporting Datasets: |