2005/07/11 by Norman H. Christ, Changhoan Kim, Takeshi Yamazaki · 2 citations
Physics and Astronomy · #hep-lat
paper · pdf · doi:10.1103/physrevd.72.114506
published as Phys.Rev. D72 (2005) 114506 · 20 pages with 1 figure
arxiv created 2005/07/11 · arxiv updated 2009/12/01
We study the effects of finite volume on the two-particle decay rate of an unstable state with non-zero momentum. First Luscher's field-theoretic relation between the infinite volume scattering phase shifts and the quantized energy levels of a finite volume, two-particle system is generalized to the case of non-zero total momentum and compared with the earlier results of Rummukainen and Gottlieb. We then use this result and the method of Lellouch and Luscher to determine the corrections needed for a finite-volume calculation of a two-particle decay amplitude when the decaying particle has non-vanishing center-of-mass momentum.