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We calculate both connected and disconnected contribution to the $\pi$-$N$ $\sigma$-term in quenched lattice QCD with Wilson quark action on a $12^3\times 20$ lattice at $\beta=5.7$. The latter is evaluated with the aid of the variant wall…

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

I describe some of the many connections between lattice QCD and effective field theories, focusing in particular on chiral effective theory, and, to a lesser extent, Symanzik effective theory. I first discuss the ways in which effective…

高能物理 - 唯象学 · 物理学 2015-10-09 C. Bernard

We calculate the nucleon isovector scalar charge in lattice QCD using overlap fermions on five ensembles of gauge configurations generated by the RBC/UKQCD collaboration using the domain-wall quark action with $2+1$ dynamical flavors. The…

高能物理 - 格点 · 物理学 2021-11-16 Liuming Liu , Ting Chen , Terrence Draper , Jian Liang , Keh-Fei Liu , Gen Wang , Yi-Bo Yang

Within the framework of chiral effective field theory, perturbative calculation for $NN$ scattering is carried out in partial waves with orbital angular momentum $L \geqslant 1$. The primary goal is to identify the lowest angular momenta at…

核理论 · 物理学 2019-02-26 Shaowei Wu , Bingwei Long

We investigate the properties of the pion quasiparticle in the low-temperature phase of two-flavor QCD on the lattice with support from chiral effective theory. We find that the pion quasiparticle mass is significantly reduced compared to…

高能物理 - 格点 · 物理学 2015-11-18 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Daniel Robaina

The accuracy of the lattice QCD computation of hadron-hadron scattering at low isospin depends critically on the ability to compute correlation functions with fermionic disconnected Wick contractions. This happens, for instance, in isospin…

高能物理 - 格点 · 物理学 2019-05-07 N. Ripunjay Acharya , Feng-Kun Guo , Ulf-G. Meißner , Chien-Yeah Seng

We present preliminary results on the axial form factor $G_A(Q^2)$ and the induced pseudoscalar form factor $G_P(Q^2)$ of the nucleon. A systematic analysis of the excited-state contributions to form factors is performed on the CLS ensemble…

高能物理 - 格点 · 物理学 2014-11-24 P. M. Junnarkar , S. Capitani , D. Djukanovic , G. von Hippel , J. Hua , B. Jäger , H. B. Meyer , T. D. Rae , H. Wittig

We reinvestigate the QCD sum rule for the pi NN coupling constant, g, starting from the vacuum-to-pion matrix element of the correlation function of the interpolating fields of two nucleons. We study in detail the physical content of the…

核理论 · 物理学 2009-11-07 Yoshihiko Kondo , Osamu Morimatsu

Multi-particle states with additional pions are expected to result in a difficult-to-control excited-state contamination in lattice simulations. We show that heavy meson chiral perturbation theory can be employed to estimate the…

高能物理 - 格点 · 物理学 2023-06-06 Oliver Bar , Alexander Broll , Rainer Sommer

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

It has been proposed that partially quenched chiral perturbation theory can be used together with partially quenched lattice QCD to determine the low-energy constants of real QCD. We point out a complication of this approach and show how it…

高能物理 - 格点 · 物理学 2009-11-10 Stephen R. Sharpe , Ruth S. Van de Water

It is shown that the low energy coefficients of the next-to-leading order (NLO) chiral perturbation theory needed to determine $\Delta I=1/2$, $K\to\pi\pi$ decay amplitudes can be fixed by calculating $K\pi\to\pi$ amplitudes on lattice.…

高能物理 - 格点 · 物理学 2009-09-02 Changhoan Kim

We calculate the complete $T$-matrices of pion-nucleon ($\pi N$) scattering to the third order in heavy baryon SU(3) chiral perturbation theory. The baryon mass in the chiral limit $M_0$ and the low-energy constants are determined by…

核理论 · 物理学 2020-04-03 Bo-Lin Huang , Jing Ou-Yang

We present a theoretical framework within which both the real and imaginary parts of the complex, two-photon exchange amplitude contributing to $K_L\rightarrow\mu^+\mu^-$ decay can be calculated using lattice QCD. The real part of this…

高能物理 - 唯象学 · 物理学 2024-06-12 En-Hung Chao , Norman Christ

The leading contribution to the three-pion exchange nucleon-nucleon potential is calculated in the framework of chiral symmetry. It has pseudoscalar and axial components and is dominated by the former, which has a range of about 1.5 fm and…

核理论 · 物理学 2009-10-31 J. C. Pupin , M. R. Robilotta

Nuclear potentials are known to exhibit a considerable degree of scheme dependence. For one- and two-pion exchange nucleon-nucleon (NN) potentials, unitary ambiguities start showing up at the level of the leading relativistic corrections to…

核理论 · 物理学 2025-05-06 Victor Springer , Hermann Krebs , Evgeny Epelbaum

The exponentially falling signal-to-noise ratio in all nucleon correlation functions, and the presence of towers of multihadron excited states with relatively small mass gaps makes extraction of matrix elements of various operators within…

We present a calculation for the $K^+\to\pi^+ \pi^0 $ decay amplitude using a quenched simulation of lattice QCD with the Wilson quark action at $\beta=6/g^2=6.1$. The decay amplitude is extracted from the ratio, the $K\to\pi\pi$…

高能物理 - 格点 · 物理学 2009-10-30 JLQCD Collaboration , S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , Y. Kuramashi , M. Okawa , A. Ukawa , T. Yoshié

A lattice QCD approach to the calculation of the long-distance contributions to $\epsilon_K$ is presented. This parameter describes indirect CP violation in $K\to\pi\pi$ decay. While the short-distance contribution to $\epsilon_K$ can be…

高能物理 - 格点 · 物理学 2023-09-06 Ziyuan Bai , Norman H. Christ , Joseph M. Karpie , Christopher T. Sachrajda , Amarjit Soni , Bigeng Wang

We present a calculation of the low energy constants describing the real and imaginary parts of the $K \to \pi \pi$ decay amplitudes $A_0$ and $A_2$. Leading and next leading order chiral perturbation theory is used and its applicability…

高能物理 - 格点 · 物理学 2010-01-21 Shu Li , Norman H. Christ