arXiv:1011.1063·v1·High Energy Physics — Lattice

Calculation of $ρ$ meson decay width from the PACS-CS configurations

PACS-CS collaboration: S.Aoki🇯🇵 · K.I.~Ishikawa🇯🇵 · N.Ishizuka🇯🇵 · K.Kanaya🇯🇵 · Y.Kuramashi🇯🇵 · Y.Namekawa🇯🇵 · M.Okawa🇯🇵 · Y.Taniguchi🇯🇵 · A.Ukawa🇯🇵 · N.Ukita🇯🇵 · T.Yamazaki🇯🇵 · T.Yoshié🇯🇵

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Abstract

We present preliminary results on the $ρ$ meson decay width from $N_{f} = 2 + 1$ full QCD configurations generated by PACS-CS Collaboration. The decay width is estimated from the $P$ -wave scattering phase shift for the isospin $I = 1$ two-pion system. The finite size formula presented by Lüscher in the center of mass frame and its extension to non-zero total momentum frame by Rummukainen and Gottlieb are employed for the calculations of the phase shift. Our calculations are carried out at $m_{π} = 410 MeV$ ( $m_{π} / m_{ρ} = 0.46$ ) and $a = 0.091 fm$ on a $3 2^{3} \times 64$ ( $L a = 2.9 fm$ ) lattice.