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

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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

We revisit the recently proposed method for the determination of the pi-pi scattering length combination a_{0}-a_{2}, based on the study of the pi0 pi0 spectrum in K+ -> pi+ pi0 pi0. In view of a precision measurement, we discuss here the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicola Cabibbo , Gino Isidori

We present a new method for the determination of the pion-pion scattering lenght combination a0-a2, based on the study of the pi0-pi0 spectrum in K->pi+ pi0 pi0 in the vicinity of the pi+ pi- threshold. The method requires a minimum of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicola Cabibbo

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 old calculation of the s-wave pi-pi scattering lengths is updated and supplemented with experimental data on the pi-pi s-wave phase shift. The results ma0 = .215 and ma2 = -.039 are in excellent agreement with those obtained from a…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Nasrallah

I compare the lattice calculation of Fukugita et al. for the pion S-wave scattering lengths to the predictions of Chiral Perturbation Theory to two loop accuracy. I find good agreement, despite the use of the quenched approximation in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Gilberto Colangelo

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 present preliminary results on the $\rho$ meson decay width estimated from the scattering phase shift of the I=1 two-pion system. The phase shift is calculated by the finite size formula for non-zero total momentum frame (the moving…

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 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

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

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

We use the framework of effective field theories to discuss the determination of the S-wave \pi N scattering lengths from the recent high-precision measurements of pionic deuterium observables. The theoretical analysis proceeds in several…

Nuclear Theory · Physics 2014-11-18 Ulf-G. Meißner , Udit Raha , Akaki Rusetsky

The one-pion and two-pion production in the p(alpha, alpha prime)X reaction at an energy of E{alpha} = 4.2 GeV has been studied by simultaneous registration of the scattered alpha particles and the secondary pion or proton. The obtained…

Nuclear Experiment · Physics 2015-05-27 G. D. Alkhazov , A. V. Kravtsov , A. N. Prokofiev , I. B. Smirnov

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

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 review results of an analysis of pipi interactions in S, P and D waves for two-pion effective mass from threshold to about 1.4 GeV. In particular we show a recent improvement of this analysis above the K anti-K threshold using more data…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Kaminski , J. R. Pelaez , F. J. Yndurain

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 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

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