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We present results for I=2 pion scattering length with the Wilson fermions in the quenched approximation. The finite size method presented by L\"uscher is employed, and calculations are carried out at $\beta=5.9$, 6.1, and 6.3. In the…

Using two flavors of maximally twisted mass fermions, we calculate the S-wave pion-pion scattering length in the isospin I=2 channel and the P-wave pion-pion scattering phase in the isospin I=1 channel. In the former channel, the lattice…

High Energy Physics - Lattice · Physics 2010-11-25 Xu Feng , Karl Jansen , Dru B. Renner

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…

The calculation of the I=2 pion scattering length in quenched lattice QCD is revisited. The calculation is carried out with the Wilson fermion action employing L\"uscher's finite size scaling method at $\beta=5.9$, 6.1, and 6.3…

We present a preliminary report on a calculation of scattering length for I=2 $S$-wave two-pion system directly from the two-pion wave function. Results are compared with those calculated from the time dependence of two-pion four-point…

High Energy Physics - Lattice · Physics 2009-11-10 N. Ishizuka , T. Yamazaki

$\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation using improved gauge and improved Wilson fermion actions on anisotropic lattices. The results are extrapolated towards the chiral, infinite volume and…

High Energy Physics - Lattice · Physics 2009-11-10 Xining Du , Guangwei Meng , Chuan Miao , Chuan Liu

We calculate the s-wave pion-pion scattering length in the isospin I=2 channel in lattice QCD for pion masses ranging from 270 Mev to 485 Mev using two flavors of maximally twisted mass fermions at a lattice spacing of 0.086 fm.…

High Energy Physics - Lattice · Physics 2010-11-26 Xu Feng , Karl Jansen , Dru B. Renner

Pion-pion elastic scattering in the isospin I=2 channel is investigated in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of…

High Energy Physics - Lattice · Physics 2019-08-21 C. Culver , M. Mai , A. Alexandru , M. Doring , F. X. Lee

We evaluate $I=2$ two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range. The scattering length is computed with $m_\pi = 0.52-0.86$ GeV in the quenched lattice…

High Energy Physics - Lattice · Physics 2019-01-01 Y. Namekawa , T. Yamazaki

We present a report on a calculation of scattering length for I=2 $S$-wave two-pion system from two-pion wave function. Calculations are made with an RG-improved action for gluons and improved Wilson action for quarks at $a^{-1}=1.207(12)…

We report preliminary results for the I=2 pion scattering length a_0, calculated with chirally improved fermions. After chiral extrapolation our results are in good agreement with both, experimental and theoretical predictions.

High Energy Physics - Lattice · Physics 2007-05-23 Christof Gattringer , Dieter Hierl , Rainer Pullirsch

Using the tadpole improved clover Wilson quark action on coarse anisotropic lattices, the $\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation. We show that such a calculation is feasible using small…

High Energy Physics - Lattice · Physics 2007-05-23 Chuan Liu , Junhua Zhang , Ying Chen , J. P. Ma

The I=2 pipi scattering length is calculated in fully-dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two- and…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Thomas C. Luu , Kostas Orginos , Assumpta Parreno , Martin J. Savage , Aaron Torok , Andre Walker-Loud

We present results for the isospin-0 $\pi\pi$ s-wave scattering length calculated in twisted mass lattice QCD. We use three $N_f = 2$ ensembles with unitary pion mass at its physical value, 240~MeV and 330~MeV respectively. We also use a…

We compute the I=2 pi-pi scattering length at pion masses of m_pi ~ 294, 348 and 484 MeV in fully-dynamical lattice QCD using Luscher's finite-volume method. The calculation is performed with domain-wall valence-quark propagators on…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Paulo F. Bedaque , Kostas Orginos , Martin J. Savage

We report here the measurment of the pion pion scattering length from a study of the kaon to 3 pions dalitz plot.

High Energy Physics - Experiment · Physics 2007-05-23 Sergio Giudici

Using the tadpole improved Wilson quark action on small, coarse and anisotropic lattices, $K\pi$ scattering length in the $I=3/2$ channel is calculated within quenched approximation. The results are extrapolated towards the chiral and…

High Energy Physics - Lattice · Physics 2009-11-10 Chuan Miao , Xining Du , Guangwei Meng , Chuan Liu

We summarize our lattice QCD determinations of the pion-pion, pion-kaon and kaon-kaon s-wave scattering lengths at maximal isospin with a particular focus on the extrapolation to the physical point and the usage of next-to-leading order…

We present preliminary results of scattering length and phase shift for I=2 S-wave $\pi\pi$ system with the Wilson fermions in the quenched approximation. The finite size method presented by L\"uscher is employed, and calculations are…

We present an exploratory calculation of the $I=2$ $\pi-\pi$ scattering amplitude at threshold using Wilson fermions in the quenched approximation, including all the required contractions. We find good agreement with the predictions of…

High Energy Physics - Lattice · Physics 2009-10-22 Rajan Gupta , Apoorva Patel , Stephen Sharpe
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