Gilberto Colangelo, Andreas Fuhrer and Stefan Lanz
Finite volume effects for nucleon and heavy meson masses
We apply the resummed version of the Lüscher 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 Lüscher formula is derived both fully
relativistically and in a nonrelativistic approximation and a first attempt
at a numerical analysis is made.
LU TP 10-12