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Related papers: I=2 Pion Scattering Phase Shift with Wilson Fermio…

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The finite temperature lattice QCD with N_f=2 nonperturbatively improved Wilson fermions is studied on 16^3 8 lattice. Using abelian projection after fixing to MA gauge we determine the transition temperature for m_{\pi}/m_{\rho} \sim 0.8.

High Energy Physics - Lattice · Physics 2016-09-01 Y. Mori , V. Bornyakov , M. Chernodub , Y. Koma , Y. Nakamura , M. Polikarpov , G. Schierholz , D. Sigaev , A. Slavnov , H. Stüben , T. Suzuki , P. Uvarov , A. Veselov

We discuss a novel effective-field-theory-based approach for extracting two-body scattering information from finite volume energies, serving as an alternative to L\"uscher's method. By explicitly incorporating one-pion exchange, we overcome…

High Energy Physics - Lattice · Physics 2024-09-17 Lu Meng , Vadim Baru , Evgeny Epelbaum , Arseniy A. Filin , Ashot M. Gasparyan

We study isospin-1 P-wave $\pi\pi$ scattering in lattice QCD with two flavours of O($a$) improved Wilson fermions. For pion masses ranging from $m_\pi=265$ MeV to $m_\pi=437$ MeV, we determine the energy spectrum in the centre-of-mass frame…

High Energy Physics - Lattice · Physics 2020-03-17 Felix Erben , Jeremy R. Green , Daniel Mohler , Hartmut Wittig

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 formula that allows one to calculate the pion form factor in the timelike region 2mpi <= sqrt{s} <= 4mpi in lattice QCD. The form factor quantifies the contribution of two-pion states to the vacuum polarization. It must be…

High Energy Physics - Lattice · Physics 2012-04-04 Harvey B. Meyer

Wilson Fermions with untwisted and twisted mass are widely used in lattice simulations. Therefore one important question is whether the twist angle and the lattice spacing affect the phase diagram. We briefly report on the study of the…

High Energy Physics - Lattice · Physics 2015-04-17 M. Kieburg , K. Splittorff , J. J. M. Verbaarschot , S. Zafeiropoulos

We present an investigation of the electromagnetic pion form factor, $F_\pi(Q^2)$, at small values of the four-momentum transfer $Q^2$ ($\lesssim 0.25$ GeV$^2$), based on the gauge configurations generated by European Twisted Mass…

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

We studied the QCD phase transition as a function of quark mass in the $N_f=3$ QCD at vanishing baryon density. Lattice simulations have been performed using Highly Improved Staggered Quarks on $N_{\tau}=6$ lattices with quark masses that…

High Energy Physics - Lattice · Physics 2011-11-02 H. -T. Ding , A. Bazavov , P. Hegde , F. Karsch , S. Mukherjee , P. Petreczky

We calculate the s-wave pion-pion scattering length in the isospin I=2 channel in lattice QCD for pion masses ranging from 270 Mev to 485 Mev using two flavors of maximally twisted mass fermions at a lattice spacing of 0.086 fm.…

High Energy Physics - Lattice · Physics 2010-11-26 Xu Feng , Karl Jansen , Dru B. Renner

We present a first Wilson twisted mass fermion calculation of the matrix element between pion states of the twist-2 operator, which is related to the the lowest moment < x > of the valence quark parton distribution function in a pion. Using…

High Energy Physics - Lattice · Physics 2009-11-11 S. Capitani , K. Jansen , M. Papinutto , A. Shindler , C. Urbach , I. Wetzorke

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…

We study s-wave pion-pion ($\pi\pi$) scattering length in lattice QCD for pion masses ranging from 330 MeV to 466 MeV. In the "Asqtad" improved staggered fermion formulation, we calculate the $\pi\pi$ four-point functions for isospin I=0…

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

We study the pion-nucleon system in s-wave in the framework of lattice QCD in order to gain new information on the nucleon excited states. We perform simulations for $n_f =2$ mass degenerate light quarks at a pion mass of 266 MeV. The…

High Energy Physics - Lattice · Physics 2013-04-19 C. B. Lang , V. Verduci

We evaluate scattering amplitudes at on-shell and half off-shell for $I=2$ S-wave two-pion system using the Bethe-Salpeter wave function inside the interaction range in the quenched QCD. The scattering length and effective range are…

High Energy Physics - Lattice · Physics 2019-07-03 Yusuke Namekawa , Takeshi Yamazaki

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 evaluate $I=2$ two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range. The scattering length is computed with $m_\pi = 0.52-0.86$ GeV in the quenched lattice…

High Energy Physics - Lattice · Physics 2019-01-01 Y. Namekawa , T. Yamazaki

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

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 use lattice QCD and the L\"uscher method to study elastic pion-nucleon scattering in the isospin $I = 3/2$ channel, which couples to the $\Delta(1232)$ resonance. Our $N_f=2+1$ flavor lattice setup features a pion mass of $m_\pi \approx…