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Related papers: Scattering from finite size methods in lattice QCD

200 papers

We determine the $\Delta(1232)$ resonance parameters using lattice QCD and the L\"uscher method. The resonance occurs in elastic pion-nucleon scattering with $J^P=3/2^+$ in the isospin $I = 3/2$, $P$-wave channel. Our calculation is…

We compute the scattering amplitude in Wilson Chiral Perturbation Theory for two flavors. The lattice spacing effects due to the explicit chiral symmetry breaking are kept through O(a^2), and we consider the regime where the quark mass m is…

High Energy Physics - Lattice · Physics 2010-01-21 Sinya Aoki , Oliver Bar , Benedikt Biedermann

We compute the scattering amplitude for pion scattering in Wilson chiral perturbation theory for two degenerate quark flavors. We consider two different regimes where the quark mass m is of order (i) a\Lambda_QCD^2 and (ii)…

High Energy Physics - Lattice · Physics 2009-04-13 Sinya Aoki , Oliver Bar , Benedikt Biedermann

We present a direct lattice QCD calculation of the $\kappa$ meson decay width with the s-wave scattering phase shift for the isospin $I=1/2$ pion-kaon ($\pi K$) system. We employ a special finite size formula, which is the extension of the…

High Energy Physics - Lattice · Physics 2015-05-30 Ziwen Fu

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

In this paper we report on results for the s-wave scattering length of the $\pi$-$K$ system in the $I=3/2$ channel from $N_f=2+1+1$ Lattice QCD. The calculation is based on gauge configurations generated by the European Twisted Mass…

We deliver lattice results for the $I=0$ $\pi\pi$ elastic $s$-wave scattering length calculated with the MILC $N_f=3$ flavors of the Asqtad-improved staggered fermions. The scattering phase shifts are determined by L\"uscher's formula from…

High Energy Physics - Lattice · Physics 2018-08-08 Ziwen Fu , Xu Chen

We propose a method to calculate scattering amplitudes using the Bethe-Salpeter wave function inside the interaction range on the lattice. For an exploratory study of this method, we evaluate a scattering length of $I=2$ S-wave two pions by…

High Energy Physics - Lattice · Physics 2018-08-09 Yusuke Namekawa , Takeshi Yamazaki

In this work we present the analysis of the energy spectrum from a recent two-flavor ($N_f=2$) lattice QCD calculation for pion-pion scattering in the scalar, isoscalar channel (the $\sigma$-meson). The lattice simulation was performed for…

High Energy Physics - Lattice · Physics 2018-07-31 R. Molina , D. Guo , A. Alexandru , M. Mai , M. Döring

Preliminary lattice QCD results for $D\pi$ scattering in isospin $I=\frac{1}{2}$ channel are presented. Utilizing the $N_f=2+1$ Wilson-Clover configuration at two volumes ($L^3 \times T=32^3 \times 96$ and $48^3 \times 96$) with the same…

High Energy Physics - Lattice · Physics 2023-12-05 Haobo Yan , Chuan Liu , Liuming Liu , Yu Meng , Hanyang Xing

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

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

Using lattice QCD we extract $\pi\pi$ scattering amplitudes with isospin--0,1,2 in low partial-waves at two values of the light quark mass corresponding to $m_\pi \sim 283$ and $330$ MeV. We confirm expectations of weak repulsion in…

High Energy Physics - Lattice · Physics 2023-10-16 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

The $I=1$ $p$-wave and $I=2$ $s$-wave elastic $\pi$-$\pi$ scattering amplitudes are calculated from a first-principles lattice QCD simulation using a single ensemble of gauge field configurations with $N_{\mathrm{f}} = 2+1$ dynamical…

High Energy Physics - Lattice · Physics 2016-08-24 John Bulava , Brendan Fahy , Ben Hörz , Keisuke J. Juge , Colin Morningstar , Chik Him Wong

We report on the pion-pion scattering length in the I=2 channel using the parametrized fixed point action. Pion masses of 320 MeV were reached in this quenched calculation of the scattering length.

High Energy Physics - Lattice · Physics 2019-08-14 K. J. Juge

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…

The isoscalar and isovector scattering lengths (b_0,b_1) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy pi N…

Nuclear Theory · Physics 2011-02-09 M. Doring , E. Oset , M. J. Vicente Vacas

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

We present a determination of the isovector, $P$-wave $\pi\pi$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_\pi =236$ MeV. The finite volume spectra are…

High Energy Physics - Phenomenology · Physics 2016-04-12 Daniel R. Bolton , Raul A. Briceno , David J. Wilson

We report the first lattice QCD results of the scattering amplitudes of the $K\pi$ system for $I = 1/2$ channel together with $I=3/2$ case. We investigate all quark diagrams contributing to these iso-spin states, and find that the…

High Energy Physics - Lattice · Physics 2011-08-22 Junichi Nagata , Shin Muroya , Atsushi Nakamura