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Related papers: I=2 pion-pion scattering phase shift in the contin…

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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…

We 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 $\pi\pi$ scattering. The phase shift is evaluated for two momentum…

We determine scattering phase shifts for S,P,D, and F partial wave channels in two-nucleon systems using lattice QCD methods. We use a generalization of Luscher's finite volume method to determine infinite volume phase shifts from a set of…

High Energy Physics - Lattice · Physics 2015-11-10 Amy Nicholson , Evan Berkowitz , Enrico Rinaldi , Pavlos Vranas , Thorsten Kurth , Balint Joo , Mark Strother , Andre Walker-Loud

The pi+pi+ s-wave scattering phase-shift is determined below the inelastic threshold using Lattice QCD. Calculations were performed at a pion mass of m_pi~390 MeV with an anisotropic n_f=2+1 clover fermion discretization in four lattice…

High Energy Physics - Lattice · Physics 2013-05-30 S. R. Beane , E. Chang , W. Detmold , H. W. Lin , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Torok , A. Walker-Loud

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 calculate the two-pion wave function for the I=2 $S$-wave two-pion system with a finite scattering momentum and estimate the interaction range between two pions. It allows us to examine the validity of the necessary condition for the…

High Energy Physics - Lattice · Physics 2008-11-26 Kiyoshi Sasaki , Naruhito Ishizuka

We present a lattice QCD study of the phase shift of $I{=}2$ $\pi\pi$ scattering on the basis of two different approaches: the standard finite volume approach by Luscher and the recently introduced HAL QCD potential method. Quenched QCD…

High Energy Physics - Lattice · Physics 2013-12-06 T. Kurth , N. Ishii , T. Doi , S. Aoki , T. Hatsuda

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

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 a two-pion wave function for the I=2 $S$-wave two-pion system with a finite scattering momentum and estimate the interaction range between two pions, which allows us to examine the validity of a necessary condition for the…

High Energy Physics - Lattice · Physics 2008-11-26 Kiyoshi Sasaki , Naruhito Ishizuka

Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Luescher technique. In this letter, as a trial of the method, we report on the…

High Energy Physics - Phenomenology · Physics 2011-05-12 Jozef J. Dudek , Robert G. Edwards , Michael J. Peardon , David G. Richards , Christopher E. Thomas

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

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 lattice QCD calculation of the $\rho$ meson decay width via the $P$-wave scattering phase shift for the I=1 two-pion system. Our calculation uses full QCD gauge configurations for $N_f=2$ flavors generated using a…

High Energy Physics - Lattice · Physics 2012-08-27 PACS Collaboration , S. Aoki , M. Fukugita , K-I. Ishikawa , N. Ishizuka , K. Kanaya , Y. Kuramashi , Y. Namekawa , M. Okawa , K. Sasaki , A. Ukawa , T. Yoshié

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 $\beta=5.9$…

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…

We conduct a two-flavor ($N_f=2$) lattice QCD calculation of the elastic phase-shifts for pion-pion scattering in the scalar, isoscalar channel (the $\sigma$-meson). The calculation is performed for two quark masses corresponding to a pion…

High Energy Physics - Lattice · Physics 2018-07-18 Dehua Guo , Andrei Alexandru , Raquel Molina , Maxim Mai , Michael Döring

Phase shifts for $s$-wave $\pi\pi$ scattering in both the $I=0$ and $I=2$ channels are determined from a lattice QCD calculation performed on 741 gauge configurations obeying G-parity boundary conditions with a physical pion mass and…

High Energy Physics - Lattice · Physics 2022-03-22 T. Blum , P. A. Boyle , M. Bruno , N. H. Christ , D. Hoying , C. Kelly , C. Lehner , R. D. Mawhinney , A. S. Meyer , D. J. Murphy , C. T. Sachrajda , A. Soni , T. Wang

The $I=2$ $\pi\pi$ elastic $s$-wave scattering phase shift is measured by lattice QCD with $N_f=3$ flavors of the Asqtad-improved staggered fermions. The lattice-calculated energy-eigenvalues of $\pi\pi$ systems at one center of mass frame…

High Energy Physics - Lattice · Physics 2024-09-23 Ziwen Fu , Jun Wang

The two pion channel in Lattice QCD has long been a primary testing ground for studying multiparticle scattering in finite volume QCD. With the development of sophisticated techniques such as distillation, it is possible to carefully study…

High Energy Physics - Lattice · Physics 2023-04-10 Mattia Bruno , Daniel Hoying , Taku Izubuchi , Christoph Lehner , Aaron S. Meyer , Masaaki Tomii
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