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Related papers: The I=2 pipi S-wave Scattering Phase Shift from La…

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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…

The isospin-2 pi pi system provides a useful testing ground for determining elastic hadron scattering parameters from finite-volume spectra obtained using lattice QCD computations. A reliable determination of the excited state spectrum of…

High Energy Physics - Phenomenology · Physics 2012-09-20 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

In a recent paper by Xiu-Li Gao, Zhi-Hui Guo, Zhiguang Xiao, and Zhi-Yong Zhou, Phys. Rev. D 105, 094002 (2022), here referred to as I, $S$-wave $\pi\pi$ scattering phase shifts obtained in a lattice-QCD calculation are analyzed using…

High Energy Physics - Phenomenology · Physics 2023-03-10 Eef van Beveren , George Rupp

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 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

In this paper, the $IJ=00, 11, 20$ partial wave $\pi\pi$ scattering phase shifts determined by the lattice QCD approach are analyzed by using a novel dispersive solution of the S-matrix, i.e. the PKU representation, in which the unitarity…

High Energy Physics - Phenomenology · Physics 2022-05-18 Xiu-Li Gao , Zhi-Hui Guo , Zhiguang Xiao , Zhi-Yong Zhou

We present for the first time a determination of the energy dependence of the isoscalar $\pi\pi$ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed…

High Energy Physics - Phenomenology · Physics 2017-01-18 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

This work presents a lattice quantum chromodynamics (QCD) determination of $\pi\pi\pi$ scattering amplitudes for the isospin-2 channel with angular momentum and parity $J^{P} = 1^+$. The calculation is performed using unphysically heavy…

High Energy Physics - Lattice · Physics 2025-11-19 Raúl A. Briceño , Maxwell T. Hansen , Andrew W. Jackura , Robert G. Edwards , Christopher E. Thomas

We present a lattice QCD study of the $\rho$ resonance with $N_f=2+1$ clover fermions at a pion mass of approximately $320$ MeV and lattice size $3.6$ fm. We consider two processes involving the $\rho$. The first process is elastic…

We present a calculation of the phase-shift for $\pi$-$\pi$ scattering in isospin-1, spin-1 channel in the elastic region. The mass and width of the rho resonance is extracted by fitting these phaseshifts. To vary the scattering momentum we…

High Energy Physics - Lattice · Physics 2015-11-20 Dehua Guo , Andrei Alexandru

In this work, we calculate meson-baryon scattering phase shifts in four channels using lattice QCD methods. From a set of calculations at four volumes, corresponding to spatial sizes of 2, 2.5, 3, and 4 fm, and a pion mass of m_pi ~ 390…

High Energy Physics - Lattice · Physics 2016-06-28 William Detmold , Amy Nicholson

Lattice QCD calculations of radiative transitions between hadrons have in the past been limited to processes of hadrons stable under the strong interaction. Recently developed methods for $1\to2$ transition matrix elements in a finite…

Elastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$ dynamical quark flavors and $m_{\pi} = 200~{\rm MeV}$. The $s$-wave scattering lengths with…

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

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 use 2HEX smeared gauge configurations generated with an $\mathrm{N}_\mathrm{f}\mathrm{=2+1}$ clover improved Wilson action to investigate $\pi\pi$ scattering in the $\rho$ channel. The range of lattice spacings (0.054 to 0.12 fm) and…

High Energy Physics - Lattice · Physics 2019-08-14 Thibaut Metivet

We report a lattice QCD determination of the $\pi\gamma \to \pi\pi$ transition amplitude for the $P$-wave, $I=1$ two-pion final state, as a function of the photon virtuality and $\pi\pi$ invariant mass. The calculation was performed with…

Lattice QCD results for isospin $I=\frac{1}{2}$ $D\pi$ scattering are presented. Utilizing a series of $N_{\text{f}}=2+1$ Wilson-Clover ensembles with pion masses of $m_\pi \approx 132, 208, 305$ and $317$ MeV, various two-particle…

High Energy Physics - Lattice · Physics 2024-11-05 Haobo Yan , Chuan Liu , Liuming Liu , Yu Meng , Hanyang Xing

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 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…