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Finite volume effects for nucleon and heavy meson masses

Colangelo, Gilberto; Fuhrer, Andreas and Lanz, Stefan LU (2010) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 82(3).
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D (Particles, Fields, Gravitation and Cosmology)
volume
82
issue
3
publisher
American Physical Society
external identifiers
  • wos:000280759400003
  • scopus:77956802978
ISSN
1550-2368
DOI
10.1103/PhysRevD.82.034506
language
English
LU publication?
yes
id
0076c3db-d9f5-43aa-b6b2-acf7a040aa1f (old id 1675228)
date added to LUP
2010-09-22 13:39:56
date last changed
2018-07-01 03:00:05
@article{0076c3db-d9f5-43aa-b6b2-acf7a040aa1f,
  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.},
  articleno    = {034506},
  author       = {Colangelo, Gilberto and Fuhrer, Andreas and Lanz, Stefan},
  issn         = {1550-2368},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society},
  series       = {Physical Review D (Particles, Fields, Gravitation and Cosmology)},
  title        = {Finite volume effects for nucleon and heavy meson masses},
  url          = {http://dx.doi.org/10.1103/PhysRevD.82.034506},
  volume       = {82},
  year         = {2010},
}