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Related papers: I=2 Pion Scattering Length from Two-Pion Wave Func…

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The s-wave pion-kaon ($\pi K$) scattering lengths at zero momentum are calculated in lattice QCD with sufficiently light $u/d$ quarks and strange quark at its physical value by the finite size formula. The light quark masses correspond to…

High Energy Physics - Lattice · Physics 2012-04-04 Ziwen Fu

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

We report an exploratory lattice investigation of $\sigma$ meson decay width using s-wave scattering phase for isospin I=0 pion-pion ($\pi\pi$) system. Rummukainen-Gottlieb formula is used to estimate the scattering phase, which demonstrate…

High Energy Physics - Lattice · Physics 2012-07-27 Ziwen Fu

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

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 obtain reliable $\pi\pi$ scattering amplitudes consistent with experimental data, both at low and high energies, and fulfilling appropriate analyticity properties. We do this by first fitting experimental low energy ($s^{1/2}\leq1.42…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez , F. J. Yndurain

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

We report on a lattice QCD calculation of the I=2 $\pi\pi$ scattering length using the overlap fermion formulation for both sea and valence quarks. We investigate the consistency of the lattice data with the prediction of the…

High Energy Physics - Lattice · Physics 2011-08-16 Takuya Yagi , Shoji Hashimoto , Osamu Morimatsu , Munehisa Ohtani

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

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

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 perform a non-perturbative lattice calculation of the P-wave pion-pion scattering phase in the rho-meson decay channel using two flavors of maximally twisted mass fermions at pion masses ranging from 480 MeV to 290 MeV. Making use of…

High Energy Physics - Lattice · Physics 2015-03-17 Xu Feng , Karl Jansen , Dru B. Renner

Working with a pion mass $m_\pi \approx 150$ MeV, we study $\pi\pi$ and $K\pi$ scattering using two flavours of non-perturbatively improved Wilson fermions at a lattice spacing $a\approx 0.071$ fm. Employing two lattice volumes with linear…

High Energy Physics - Lattice · Physics 2016-03-30 Gunnar S. Bali , Sara Collins , Antonio Cox , Gordon Donald , Meinulf Göckeler , C. B. Lang , Andreas Schäfer

The pion-pion scattering amplitudes provided by second-order chiral perturbation theory are confronted with known rigorous constraints derived from the axioms of quantum field theory. We mainly test constraints restricting the…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

We have performed a systematical calculation of the pion ($\pi, K, \eta$) and heavy pseudoscalar meson S-wave scattering lengths up to ${\cal O}(p^3)$ in the chiral perturbation theory in the heavy quark symmetry limit. With the three…

High Energy Physics - Phenomenology · Physics 2009-07-30 Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu

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

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 present a first systematic study of $I=1/2$ proton-$\Lambda$ ($p$-$\Lambda$) scattering from lattice QCD, using seven sets of $(2+1)$-flavor lattice ensembles with pion masses spanning 135-317 MeV and three lattice spacings with…

High Energy Physics - Lattice · Physics 2026-03-09 Hang Liu , Liuming Liu , Jin-Xin Tan , Wei Wang , Haobo Yan , Qian-Teng Zhu

We observe that the ratio of the on-shell scattering amplitude to the Bethe-Salpeter (BS) wave function outside the interaction range is almost independent of time in our quenched calculation of the $I=2$ two-pion scattering with almost…

High Energy Physics - Lattice · Physics 2020-01-20 Takeshi Yamazaki , Yusuke Namekawa

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