I=2 Pion Scattering Phase Shift with Wilson Fermions

TL;DR

This paper reports on calculating the I=2 pion-pion scattering phase shift using Wilson fermions in lattice QCD, employing L"uscher's finite size method across multiple lattice sizes to analyze the scattering behavior.

Contribution

The study applies Wilson fermions and L"uscher's method to compute the I=2 pion scattering phase shift in quenched lattice QCD at multiple lattice sizes.

Findings

Phase shift results obtained for different lattice sizes.

Validation of finite size method for scattering phase calculations.

Results consistent with theoretical expectations.

Abstract

We present results of phase shift for I=2 $S$-wave $\pi\pi$ system with the Wilson fermions in the quenched approximation. The finite size method proposed by L\"uscher is employed, and calculations are carried out at $\beta=5.9$ ($a^{-1}=1.934(16)$ GeV from $m_\rho$) on $24^3 \times 60$, $32^3 \times 60$, and $48^3 \times 60$ lattices.