Finite volume effects for nucleon and heavy meson masses
(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:
https://lup.lub.lu.se/record/1675228
- author
- Colangelo, Gilberto ; Fuhrer, Andreas and Lanz, Stefan LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review D (Particles, Fields, Gravitation and Cosmology)
- volume
- 82
- issue
- 3
- article number
- 034506
- 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
- 2016-04-01 09:47:29
- date last changed
- 2024-01-05 23:55:54
@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.}},
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}},
doi = {{10.1103/PhysRevD.82.034506}},
volume = {{82}},
year = {{2010}},
}