出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We calculate the two-pion wave function for the I 2 S-wave two-pion system with a finite scattering
momentum and estimate the interaction range between two pions. It allows us to examine
the validity of the necessary condition for the finite-volume method for the scattering phase shift.
A calculation is carried out with a plaquette gauge action for gluons and a clover-improvedWilson
action for quarks at 1a 163 GeV on 323 120 lattice in the quenched approximation.
We conclude that the necessary condition is satisfied within statistical errors for the lattice size
L 32, when the quark mass is in the range m2π
01760345 GeV2 and the scattering momentum
in k2 0026 GeV2. We also find that the energy dependence of the interaction range is
small and it takes 1217 fm for our simulation parameters. We obtain the phase shift from the
two-pion wave function with a smaller statistical error than that from the conventional analysis
with the two-pion time correlator
