Finite volume effects for nucleon and heavy meson masses

Research output: Contribution to journalArticle

Abstract

We apply the resummed version of the Luscher formula to analyze finite volume corrections to the mass of the nucleon and of heavy mesons. We show that by applying the subthreshold expansion of the scattering amplitudes one can express the finite volume corrections in terms of only a few physical observables and the size of the box. In the case of the nucleon, the available information about the quark mass dependence of these physical quantities is discussed and used to assess the finite volume corrections to the nucleon mass as a function of the quark mass including a detailed analysis of the remaining uncertainties. For heavy mesons, the Luscher formula is derived both fully relativistically and in a nonrelativistic approximation and a first attempt at a numerical analysis is made.

Details

Authors
  • Gilberto Colangelo
  • Andreas Fuhrer
  • Stefan Lanz
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Subatomic Physics
Original languageEnglish
Article number034506
JournalPhysical Review D (Particles, Fields, Gravitation and Cosmology)
Volume82
Issue number3
Publication statusPublished - 2010
Publication categoryResearch
Peer-reviewedYes