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Studies on hadron interactions from lattice QCD are reviewed. The $S$-wave $\pi\pi$ scattering lengths of the I=0 and I=2 channels are extracted from various lattice determinations of low energy constants in $N_f=2$ chiral perturbation…

High Energy Physics - Lattice · Physics 2009-04-14 Sinya Aoki

This letter presents the first lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes at energies near $1405\,{\rm MeV}$. These amplitudes contain the resonance $\Lambda(1405)$ with strangeness $S=-1$ and…

We present the first ab initio lattice calculation of neutron-alpha ($n$-$\alpha$) scattering using nuclear lattice effective field theory (NLEFT) with chiral interactions at next-to-next-to-next-to-leading order (N3LO). Building on the…

Nuclear Theory · Physics 2025-07-14 Serdar Elhatisari , Fabian Hildenbrand , Ulf-G. Meißner

Spin-triplet superconductivity is known to be a rare quantum phenomenon. Here we show that nonsymmorphic crystalline symmetries can dramatically assist spin-triplet superconductivity in the presence of spin-orbit coupling. Even with a weak…

Superconductivity · Physics 2022-08-22 Shengshan Qin , Chen Fang , Fu-chun Zhang , Jiangping Hu

We present a lattice QCD study of the puzzling positive-parity nucleon channel, where the Roper resonance $N^*(1440)$ resides in experiment. The study is based on an ensemble of gauge configurations with $N_f=2+1$ Wilson-clover fermions…

High Energy Physics - Lattice · Physics 2018-07-12 Luka Leskovec , Christian B. Lang , M. Padmanath , Sasa Prelovsek

Comprehensive study of generalized baryon-baryon ($BB$) interaction including strangeness is one of the important subject of nuclear physics. In order to obtain a complete set of isospin-base baryon interactions, we perform a large scale…

High Energy Physics - Lattice · Physics 2019-09-04 Hidekatsu Nemura

We present our updated results of the nucleon-nucleon potential in quenched lattice QCD simulations with the plaquette gauge action and the Wilson quark action on the 32^4(\simeq (4.4 fm)^4) lattice. From the equal-time Bethe-Salpeter (BS)…

High Energy Physics - Lattice · Physics 2009-11-13 N. Ishii , S. Aoki , T. Hatsuda

We present the first lattice QCD study of coupled-channel $D\pi$, $D\eta$ and $D_{s}\bar{K}$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable…

High Energy Physics - Lattice · Physics 2016-10-13 Graham Moir , Michael Peardon , Sinéad M. Ryan , Christopher E. Thomas , David J. Wilson

We present our recent results of baryon interactions with strangeness $S=-1$ based on Nambu-Bethe-Salpeter (NBS) correlation functions calculated from lattice QCD with almost physical quark masses corresponding to…

In this work, we apply the relativistic chiral nuclear force to describe the state-of-the-art lattice simulations of the nucleon-nucleon scattering amplitude. In particular, we focus on the $^3S_1$-$^3D_1$ coupled channel for a pion mass of…

High Energy Physics - Phenomenology · Physics 2022-08-03 Qian-Qian Bai , Chun-Xuan Wang , Yang Xiao , Jun-Xu Lu , Li-Sheng Geng

Imaginary-time Nambu-Bethe-Salpeter (NBS) wave function is introduced to extend our previous approach for hadron-hadron interactions on the lattice. Scattering states of hadrons with different energies encoded in the NBS wave-function are…

We investigate S-wave kaon-nucleon ($KN$) interactions with strangeness $S=+1$ in lattice QCD using the time-dependent HAL QCD method. Employing the $(2+1)$-flavor gauge configuration with $m_{\pi}\approx 137~\textrm{MeV}$ and $m_{K}\approx…

High Energy Physics - Lattice · Physics 2026-03-18 Kotaro Murakami , Sinya Aoki , Takumi Doi , Yan Lyu , Wren Yamada

We determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $m_\pi = 236$ MeV in a cubic volume of $\sim (4…

High Energy Physics - Phenomenology · Physics 2015-11-11 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

The lattice QCD analyses of the HAL QCD Collaboration predicts a strongly attractive potential in the $\Omega N$ $^5S_2$ channel which supports a bound state. In this paper we show that this $\Omega N$ channel together with the $NN$ $^3S_1$…

Nuclear Theory · Physics 2018-10-11 H. Garcilazo , A. Valcarce

The mass spectrum of baryons in the spin-3/2 sector is computed in quenched lattice QCD using a tadpole-improved anisotropic action. Both isospin 1/2 and 3/2 (the traditional decuplet) are considered, as well as members that contain strange…

High Energy Physics - Lattice · Physics 2009-11-11 Leming Zhou , Frank X. Lee

The first coupled-channel determination of two-body $D$ and $D^*$ scattering amplitudes in isospin-$1$ from lattice quantum chromodynamics is presented. Using three lattice volumes at $m_\pi \approx 391~\mathrm{MeV}$, finite-volume energies…

High Energy Physics - Lattice · Physics 2026-01-05 Nelson Pitanga Lachini , Christopher E. Thomas , David J. Wilson

Recent progress of lattice QCD study of nuclear forces (potentials) is reviewed. Scattering phase shift is an important observable for two particle system. In lattice QCD, phase shifts are calculated from long distance behavior of…

High Energy Physics - Lattice · Physics 2015-03-14 Noriyoshi Ishii , for PACS-CS , HAL-QCD Collaboration

Newly, first-principles lattice QCD results at the physical pion mass, $ m_\pi \backsimeq 137.1 $ MeV, have been reported by the HAL QCD Collaboration for the S-wave interaction between the nucleon ($N$) and the triply charmed Omega baryon…

Nuclear Theory · Physics 2026-02-11 Faisal Etminan , Lucas Happ

A method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpeter amplitude in lattice QCD is presented. It is applied to the two nucleons on the lattice with quenched QCD simulations. By disentangling the mixing between the…

High Energy Physics - Lattice · Physics 2014-11-20 T. Hatsuda

We report on our lattice QCD study of coupled $DD_s^* - D^*D_s$ scattering in the $J^P=1^+$ channel and elastic $DD_s$ scattering in the $J^P=0^+$ channel, aimed at investigating the possible existence of $cc\bar{u}\bar{s}$ tetraquarks near…

High Energy Physics - Lattice · Physics 2026-03-23 Tanishk Shrimal , Sara Collins , Priyajit Jana , M. Padmanath , Sasa Prelovsek