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ID 14564
file
creator
CP-PACS, Collaboration
Aoki, S
Fukugita, M
Ishizuka, N
Iwasaki, Y
Kanaya, K
Kaneko, T
Kuramashi, Y
Ukawa, A
Yamazaki, T
Yoshié, T
NDC
Physics
abstract
We calculate the two-pion wave function in the ground state of the I=2 S-wave system and find the interaction range between two pions, which allows us to examine the validity of the necessary condition for the finite-volume method for the scattering length proposed by Lüscher. We work in the quenched approximation employing a renormalization group improved gauge action for gluons and an improved Wilson action for quarks at 1/a=1.207(12) GeV on 163×80, 203×80, and 243×80 lattices. We conclude that the necessary condition is satisfied within the statistical errors for the lattice sizes L>=24 (3.92 fm) when the quark mass is in the range that corresponds to mpi2=0.273–0.736 GeV2. We obtain the scattering length with a smaller statistical error from the wave function than from the two-pion time correlator.
journal title
Physical Review D
volume
Volume 71
start page
094504
date of issued
2005
publisher
The American Physical Society
issn
1550-7998
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
publisher
rights
Copyright (c) 2005 The American Physical Society
relation is version of URL
http://dx.doi.org/10.1103/PhysRevD.71.094504
department
Graduate School of Science