I = 2 π π scattering phase shift with two flavors of O a improved dynamical quarks
2004; American Physical Society; Volume: 70; Issue: 7 Linguagem: Inglês
10.1103/physrevd.70.074513
ISSN1550-7998
AutoresTakeshi Yamazaki, Sinya Aoki, M. Fukugita, K-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, M. Okawa, A. Ukawa, T. Yoshié,
Tópico(s)High-Energy Particle Collisions Research
ResumoWe present a lattice QCD calculation of phase shift including the chiral and continuum extrapolations in two-flavor QCD. The calculation is carried out for $I=2$ $S$-wave $\ensuremath{\pi}\ensuremath{\pi}$ scattering. The phase shift is evaluated for two momentum systems, the center of mass and laboratory systems, by using the finite-volume method proposed by L\"uscher in the center of mass system and its extension to general systems by Rummukainen and Gottlieb. The measurements are made at three different bare couplings $\ensuremath{\beta}=1.80$, 1.95 and 2.10 using a renormalization group improved gauge and a tadpole improved clover fermion action, and employing a set of configurations generated for hadron spectroscopy in our previous work. The illustrative values we obtain for the phase shift in the continuum limit are $\ensuremath{\delta}(\mathrm{deg}.)=\ensuremath{-}3.50(64)$, $\ensuremath{-}9.5(30)$ and $\ensuremath{-}16.9(64)$ for $\sqrt{s}(\mathrm{G}\mathrm{e}\mathrm{V})=0.4$, 0.6 and 0.8, which are consistent with experiments.
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