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Method of calculating hadron multi-point functions and disconnected quark loop contributions which are not readily accessible through conventional techniques is proposed. Results are reported for pion-pion, pion-nucleon and nucleon-nucleon…

高能物理 - 格点 · 物理学 2009-10-22 Y. Kuramashi , M. Fukugita , H. Mino , M. Okawa , A. Ukawa

In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of physical interest. Where possible, we…

高能物理 - 格点 · 物理学 2007-05-23 Andre Walker-Loud

First results on the interaction between the $\phi$-meson and the nucleon ($N$) are presented based on the ($2+1$)-flavor lattice QCD simulations with nearly physical quark masses. Using the HAL QCD method, the spacetime correlation of the…

高能物理 - 格点 · 物理学 2022-12-21 Yan Lyu , Takumi Doi , Tetsuo Hatsuda , Yoichi Ikeda , Jie Meng , Kenji Sasaki , Takuya Sugiura

We calculate the two-pion wave function for the I=2 $S$-wave two-pion system with a finite scattering momentum and estimate the interaction range between two pions. It allows us to examine the validity of the necessary condition for the…

高能物理 - 格点 · 物理学 2008-11-26 Kiyoshi Sasaki , Naruhito Ishizuka

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…

高能物理 - 唯象学 · 物理学 2017-01-18 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We show how theoretical, principally lattice, calculations of the scalar form factors in semileptonic pseudoscalar-to-pseudoscalar decays can be used to extract information about the corresponding elastic s-wave scattering channels. We find…

高能物理 - 唯象学 · 物理学 2008-11-26 Jonathan M Flynn , Juan Nieves

We present a method to evaluate on the lattice the leading isospin breaking effects due to both the small mass difference between the up and down quarks and the QED interaction. Our proposal is applicable in principle to any QCD+QED gauge…

高能物理 - 格点 · 物理学 2013-06-12 G. M. de Divitiis , R. Frezzotti , V. Lubicz , G. Martinelli , R. Petronzio , G. C. Rossi , F. Sanfilippo , S. Simula , N. Tantalo

Using Nf=2+1+1 lattice QCD, we determine the fermionic connected contributions to the second and third moment of the pion PDF. Based on gauge configurations from the European Twisted Mass Collaboration, chiral and continuum extrapolations…

高能物理 - 格点 · 物理学 2021-02-22 M. Oehm , C. Alexandrou , M. Constantinou , K. Jansen , G. Koutsou , B. Kostrzewa , F. Steffens , C. Urbach , S. Zafeiropoulos

We use lattice field theory to study the finite-volume energy spectrum of the $\pi\pi$ system in $SU(2)$ chiral effective field theory (ChEFT) at leading order in the chiral expansion. \hl{This finite-volume spectrum can be directly related…

高能物理 - 格点 · 物理学 2026-03-03 Cameron Cianci , Luchang Jin , Joshua Swaim

We present a precise calculation of the pion form factor using overlap fermions on seven ensembles of 2+1-flavor domain-wall configurations with pion masses varying from 139 to 340 MeV. Taking advantage of the fast Fourier transform and…

高能物理 - 唯象学 · 物理学 2021-10-13 Gen Wang , Jian Liang , Terrence Draper , Keh-Fei Liu , Yi-Bo Yang

We present the results of our lattice QCD study of the $\pi\gamma\to\pi\pi$ process, where the $\rho$ resonance appears as an enhancement in the transition amplitude. We use $N_f=2+1$ clover fermions on a lattice of $L=3.6$ fm and a pion…

We report on our exploratory study for the direct evaluation of the parton distribution functions from lattice QCD, based on a recently proposed new approach. We present encouraging results using Nf = 2 + 1 + 1 twisted mass fermions with a…

We present the first lattice study of pion-pion scattering with varying number of colors, $N_\text{c}$. We use lattice simulations with four degenerate quark flavors, $N_\text{f}=4$, and $N_\text{c}=3-6$. We focus on two scattering channels…

高能物理 - 格点 · 物理学 2022-07-12 Jorge Baeza-Ballesteros , Pilar Hernández , Fernando Romero-López

We study lattice QCD determinations of the pion mass and decay constant by means of chiral perturbation theory (ChPT). The lattice data are obtained from large scale simulations with N_f=2 flavours of twisted mass fermions at maximal twist.…

高能物理 - 唯象学 · 物理学 2019-08-13 P. Dimopoulos , R. Frezzotti , G. Herdoiza , K. Jansen , C. Michael , C. Urbach

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…

核理论 · 物理学 2014-11-18 Ulf-G. Meißner , Udit Raha , Akaki Rusetsky

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…

高能物理 - 唯象学 · 物理学 2007-05-23 N. Nasrallah

The different ground state energies of N-pion and M-kaon systems for N+M <=12 are studied in lattice QCD. These energies are then used to extract the various two- and three- body interactions that occur in these systems. Particular…

高能物理 - 格点 · 物理学 2011-08-11 William Detmold , Brian Smigielski

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…

We have calculated the KK bar --> KK bar scattering amplitude to next to leading order in Chiral Perturbation Theory. Then, making use of a unitarization procedure with one or several coupled channels (\pi\pi, KK bar in our case) we have…

高能物理 - 唯象学 · 物理学 2009-10-31 Francisco Guerrero , Jose Antonio Oller

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…

高能物理 - 唯象学 · 物理学 2009-11-10 J. R. Pelaez , F. J. Yndurain