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We present our study of $\pi-N$ scattering in the iso-spin $I=3/2$ channel for the first time at the physical point. The calculation is performed using $N_f=2+1+1$ flavors of twisted mass fermions with clover improvement at physical pion…

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…

The elastic $I=1$ $p$-wave $\pi\pi$ scattering amplitude is calculated together with the isovector timelike pion form factor using lattice QCD with $N_{\rm f}=2+1$ dynamical quark flavors. Wilson clover ensembles generated by the…

High Energy Physics - Lattice · Physics 2019-01-30 Christian Andersen , John Bulava , Ben Hörz , Colin Morningstar

We make a theoretical study of $\pi\pi$ scattering with quantum numbers $J^{PC}=1^{--}$ in a finite box. To calculate physical observables for infinite volume from lattice QCD, the finite box dependence of the potentials is not usually…

High Energy Physics - Lattice · Physics 2013-07-25 M. Albaladejo , G. Rios , J. A. Oller , L. Roca

We present an algorithm to compute correlation functions for systems with the quantum numbers of many identical mesons from lattice quantum chromodynamics (QCD). The algorithm is numerically stable and allows for the computation of $n$-pion…

The ground-state energies of systems containing up to twelve $\pi^+$'s in a spatial volume V ~ (2.5 fm)^3 are computed in dynamical, mixed-action lattice QCD at a lattice spacing of ~ 0.125 fm for four different values of the light quark…

High Energy Physics - Lattice · Physics 2008-12-18 William Detmold , Martin J. Savage , Aaron Torok , Silas R. Beane , Thomas C. Luu , Kostas Orginos , Assumpta Parreno

We present the first lattice QCD study of coupled isoscalar $\pi\pi,K\overline{K},\eta\eta$ $S$- and $D$-wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the quark mass corresponding…

High Energy Physics - Lattice · Physics 2018-03-28 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

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…

An extended two-hadron operator is developed to extract the spectra of irreducible representations (irreps) in the finite volume. The irreps of the group for the finite volume system are projected using a coordinate-space operator. The…

High Energy Physics - Lattice · Physics 2022-05-04 Jia-Jun Wu , Waseem Kamleh , Derek B. Leinweber , Yan Li , Gerrit Schierholz , Ross D. Young , James M. Zanotti

Isospin-1/2 charmed axial-vector $D^*\pi-D^*\eta-D^*_s\bar{K}$ scattering amplitudes are computed, along with interactions in several other $I=1/2$ $J^P$ channels. Using lattice QCD, we work at a light-quark mass corresponding to…

High Energy Physics - Lattice · Physics 2026-04-21 Nicolas Lang , David J. Wilson

We present the first calculation in lattice QCD of the process $\gamma K \to K\pi$ in which the narrow $K^*$ vector resonance appears. Using a lattice on which the pion has a mass of 284 MeV, we determine the transition amplitude at 128…

High Energy Physics - Lattice · Physics 2023-01-11 Archana Radhakrishnan , Jozef Dudek , Robert Edwards

We present a calculation of the scattering phase shift for the I=2 S-wave pion-pion system in the continuum limit with two-flavor full QCD. Calculations are made at three lattice spacings, using the finite volume method of L\"uscher in the…

We study the scaling of meson-meson scattering amplitudes with the number of colors, $N_\text{c}$. We use lattice calculations in a theory with $N_\text{f}=4$ degenerate flavors, with $N_\text{c}=3-6$ and pion mass $M_\pi\approx 560$ MeV.…

High Energy Physics - Lattice · Physics 2025-09-04 Jorge Baeza-Ballesteros , Pilar Hernández , Fernando Romero-López

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

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 a numerical exploration of the relativistic-field-theory (RFT) formalism for three pions with all possible values of non-maximal isospin, $I_{\pi\pi\pi} = 2$, $1$ and $0$. Using the generic-isospin extension of the RFT formalism…

High Energy Physics - Lattice · Physics 2025-08-18 Athari Alotaibi , Maxwell T. Hansen , Raúl A. Briceño

We present the first lattice QCD calculation of single-channel $DD$ scattering with quantum numbers $I(J^P)=1(0^+)$ and $0(1^-)$. The calculation is performed on the $2+1$ flavor Wilson-Clover ensembles with a lattice spacing $a\simeq…

High Energy Physics - Lattice · Physics 2025-02-12 Pan-Pan Shi , Feng-Kun Guo , Chuan Liu , Liuming Liu , Peng Sun , Jia-Jun Wu , Hanyang Xing

The $S$-wave $\pi K$ scattering lengths are calculated for both the isospin 1/2 and 3/2 channels in the lattice QCD by using the finite size formula. We perform the calculation with $N_f=2+1$ gauge configurations generated on $32^3 \times…

High Energy Physics - Lattice · Physics 2010-02-23 Kiyoshi Sasaki , Naruhito Ishizuka , Takeshi Yamazaki , Makoto Oka , for PACS-CS Collaboration

A study of two-pion scattering for the isospin channels, $I=0$ and $I=2$, using lattice QCD is presented. M\"obius domain wall fermions on top of the Iwasaki-DSDR gauge action for gluons with periodic boundary conditions are used for the…

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