Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-09-15
Phys.Rev.D67:014502,2003
Physics
High Energy Physics
High Energy Physics - Lattice
LaTeX, 28 pages, 10 eps figures, uses revtex and epsfig
Scientific paper
10.1103/PhysRevD.67.014502
We present a lattice QCD calculation of the scattering phase shift for the I=2 $S$-wave two-pion system using the finite size method proposed by L\"uscher. We work in the quenched approximation employing the standard plaquette action at $\beta=5.9$ for gluons and the Wilson fermion action for quarks. The phase shift is extracted from the energy eigenvalues of the two-pion system, which are obtained by a diagonalization of the pion 4-point function evaluated for a set of relative spatial momenta. In order to change momentum of the two-pion system, calculations are carried out on $24^3\times 60$, $32^3\times 60$, and $48^3\times 60$ lattices. The phase shift is successfully calculated over the momentum range $0 < p^2 < 0.3 {\rm GeV}^2$.
Aoki CP-PACS Collaboration: S.
Fukugita Masaaka
Hashimoto Shigehira
Ishikawa Kei-Ichi
Ishizuka Naruhito
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