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Using the tadpole improved clover Wilson quark action on coarse anisotropic lattices, the $\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation. We show that such a calculation is feasible using small…

高能物理 - 格点 · 物理学 2007-05-23 Chuan Liu , Junhua Zhang , Ying Chen , J. P. Ma

The extraction of meson-baryon scattering parameters from lattice QCD is complicated by the necessity, in some channels, of including annihilation diagrams. We consider a strategy to avoid the need for these extremely costly and noisy…

高能物理 - 格点 · 物理学 2010-02-09 Paulo F. Bedaque , Michael I. Buchoff , Brian C. Tiburzi

In this work, we suggest that hard-pion chiral perturbation theory may be applicable to the real parts of nonleptonic B^{+} to D^{0}P^{+} and B^{+} to Dbar^{0}P^{+} (P=K,pi) decay amplitudes. These amplitudes play an important role in the…

高能物理 - 格点 · 物理学 2012-03-21 Christopher Aubin , C. -J. David Lin , Amarjit Soni

Even highly improved variants of lattice QCD with staggered fermions show significant violations of taste symmetry at currently accessible lattice spacings. In addition, the "rooting trick" is used in order to simulate with the correct…

高能物理 - 格点 · 物理学 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir

In this talk, I present my personal view on the status of lattice QCD calculations. I emphasize the role played by the chiral perturbation theory (ChPT) in analyzing the lattice data of various physical quantities, including chiral…

高能物理 - 唯象学 · 物理学 2009-12-31 Shoji Hashimoto

The standard way to demonstrate the relevance of chiral symmetry for the NN interaction is to consider higher partial waves of NN scattering which are controlled entirely by chiral pion-exchanges (since contacts vanish). However, in…

核理论 · 物理学 2021-01-19 H. Alanazi , R. Machleidt

It is argued that the fine-tuning due to the unnaturally large, generalized effective range in the 1S0 channel of NN scattering must be incorporated in order for one to obtain satisfactory convergence for chiral effective field theory.…

核理论 · 物理学 2013-07-11 Bingwei Long

We use the chiral effective field theory to study the lattice finite-volume energy levels from the meson-meson scattering. The hadron resonance properties and the scattering amplitudes at physical masses are determined from the lattice…

高能物理 - 格点 · 物理学 2018-11-15 Zhi-Hui Guo , Liuming Liu , Ulf-G. Meissner , J. A. Oller , A. Rusetsky

A brief survey of applications of chiral perturbation theory to both semileptonic and nonleptonic kaon decays is presented. Special emphasis is given to recent theoretical advances related to semileptonic decays, in particular pion pion…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Ecker

Chiral effective field theory can provide valuable insight into the chiral physics of hadrons when used in conjunction with non-perturbative schemes such as lattice QCD. In this discourse, the attention is focused on extrapolating the mass…

高能物理 - 格点 · 物理学 2015-03-17 J. M. M. Hall , F. X. Lee , D. B. Leinweber , K. F. Liu , N. Mathur , R. D. Young , J. B. Zhang

We calculate pion vector and scalar form factors in two-flavor lattice QCD and study the chiral behavior of the vector and scalar radii <r^2>_{V,S}. For a direct comparison with chiral perturbation theory (ChPT), chiral symmetry is exactly…

高能物理 - 唯象学 · 物理学 2014-11-20 Takashi Kaneko

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term for two degenerate quark flavours is considered in the framework of chiral perturbation theory. The pion mass and decay constant are calculated in…

高能物理 - 格点 · 物理学 2010-12-23 Gernot Münster , Christian Schmidt

We analyze the spectrum of two- and three-pion states of maximal isospin obtained recently for isosymmetric QCD with pion mass $M\approx 200\;$MeV in Ref. [1]. Using the relativistic three-particle quantization condition, we find $\sim 2…

高能物理 - 格点 · 物理学 2021-03-16 Tyler D. Blanton , Fernando Romero-López , Stephen R. Sharpe

We review several results that have been obtained using lattice QCD with the staggered quark formulation. Our focus is on the quantities that have been calculated numerically with low statistical errors and have been extrapolated to the…

高能物理 - 格点 · 物理学 2008-11-26 C. Aubin

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)…

高能物理 - 格点 · 物理学 2009-04-13 Sinya Aoki , Oliver Bar , Benedikt Biedermann

Chiral perturbation theory and its unitarized versions have played an important role in our understanding of the low-energy strong interaction. Yet, so far, such studies typically deal exclusively with perturbative or nonperturbative…

高能物理 - 唯象学 · 物理学 2023-03-01 Jun-Xu Lu , Li-Sheng Geng , Michael Doering , Maxim Mai

A historical review of pion-nucleon interactions at low energy is presented, with aims toward an introductory, pedagogic approach focusing on issues germane to current research. These topics include the use of chiral effective field theory,…

核理论 · 物理学 2022-09-07 Gerald A. Miller

We test the one-loop chiral perturbation theory formula on unquenched lattice data of pseudoscalar meson decay constants. The chiral extrapolation including the effect of the chiral logarithm is attempted and its uncertainty is discussed.

In the context of chiral SU(2) perturbation theory, pion-kaon scattering is analysed near the threshold to fourth chiral order. The scattering amplitude is calculated both in the relativistic framework and by using an approach similar to…

高能物理 - 唯象学 · 物理学 2009-10-31 Arnold Roessl

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…

高能物理 - 唯象学 · 物理学 2009-07-30 Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu