Analytic expansions of multi-hadron finite-volume energies. I. Two-particle states

Journal of High Energy Physics

Regular Article - Theoretical Physics

M. T. Hansen¹  D. M. Grabowska² 

[1] Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, EH9 3FD, Edinburgh, U.K.;Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland;

关键词: Algorithms and Theoretical Developments;    Hadronic Spectroscopy;    Structure and Interactions;    Lattice QCD;   

DOI  :  10.1007/JHEP09(2022)232

 received in 2022-03-28, accepted in 2022-07-05,  发布年份 2022

来源: Springer

【 摘 要 】

We derive analytic expansions for the finite-volume energies of weakly-interacting two-particle systems, using the general relations between scattering amplitudes and energies derived by Lüscher and others. The relations hold for ground and excited states with both zero and non-zero total momentum in the finite-volume frame. A number of instructive aspects arise in the derivation, including the role of accidental degeneracies and the importance of defining a power-counting scheme in the expansions. The results give intuition concerning the imprint of perturbative interactions on the energy spectrum, while also providing a useful basis for the analogous results concerning three-particle excited states, to appear. We have also developed a Mathematica notebook that automates the expansions described in this work.

【 授权许可】

Unknown   
© The Author(s) 2022

【 图 表 】

Fig. 5