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Potentials of quark--anti-quark pairs are studied from the anti-q--q Nambu-Bethe-Salpeter (NBS) wave functions in quenched lattice QCD. With the use of a method which has been recently developed in the derivation of nuclear forces from QCD,…

High Energy Physics - Lattice · Physics 2010-12-13 Yoichi Ikeda , Hideaki Iida

A new method for nuclear potentials is reviewed. The strategy to extract the potential from the Nambu-Bethe-Salpeter wave function in lattice QCD is explained and the first result based on the method is presented in quenched QCD. The recent…

High Energy Physics - Lattice · Physics 2011-08-04 Sinya Aoki

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 an investigation of the interquark potential determined from the qq^bar Bethe-Salpeter (BS) amplitude for heavy quarkonia in lattice QCD. The qq^bar potential at finite quark mass m_q can be calculated from the equal-time and…

High Energy Physics - Lattice · Physics 2011-08-31 Taichi Kawanai , Shoichi Sasaki

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 review recent lattice QCD activities with emphasis on the impact on nuclear physics. In particular, the progress toward the determination of nuclear and baryonic forces (potentials) using Nambu-Bethe-Salpeter (NBS) wave functions is…

High Energy Physics - Lattice · Physics 2012-12-10 Takumi Doi , for HAL QCD Collaboration

We present full accounts of a method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpter amplitude in lattice QCD. The method is applied to two nucleons on the lattice with quenched QCD simulations. By disentangling the mixing…

High Energy Physics - Lattice · Physics 2010-04-30 Sinya Aoki , Tetsuo Hatsuda , Noriyoshi Ishii

We extend the HAL QCD approach, with which potentials between two hadrons can be obtained in QCD at energy below inelastic thresholds, to inelastic and multi-particle scatterings. We first derive asymptotic behaviors of the…

High Energy Physics - Lattice · Physics 2013-12-30 Sinya Aoki

We study the gauge dependence of $c\bar{c}$ potentials extracted from Nambu-Bethe-Salpeter (NBS) wave functions. The potentials are obtained using the HAL QCD potential method, with an extension introduced by Kawanai and Sasaki for…

High Energy Physics - Lattice · Physics 2025-02-11 Tianchen Zhang , Noriyoshi Ishii

We propose a novel method for the determination of the interquark potential together with quark "kinetic mass'' $m_Q$ from the equal-time $Q\bar{Q}$ Bethe-Salpeter (BS) amplitude in lattice QCD. Our approach allows us to calculate…

High Energy Physics - Lattice · Physics 2014-03-26 Taichi Kawanai , Shoichi Sasaki

We study the s-wave I=2 \pi \Sigma and I=1 KN interactions from 2+1 flavor full lattice QCD simulation for relatively heavy quark mass corresponding to m_{\pi}=700 MeV. The s-wave meson-baryon potentials are obtained from the…

High Energy Physics - Lattice · Physics 2012-08-27 Yoichi Ikeda for HAL QCD Collaboration

Nucleon-nucleon (NN) potential is studied by lattice QCD simulations in the quenched approximation, using the plaquette gauge action and the Wilson quark action on a 32^4 (\simeq (4.4 fm)^4) lattice. A NN potential V_{NN}(r) is defined from…

Nuclear Theory · Physics 2008-11-26 N. Ishii , S. Aoki , T. Hatsuda

We study the KN interactions in the I(J^{\pi})=0(1/2^-) and 1(1/2^-) channels and associated exotic state \Theta^+ from 2+1 flavor full lattice QCD simulation for relatively heavy quark mass corresponding to m_{\pi}=871 MeV. The s-wave KN…

High Energy Physics - Lattice · Physics 2015-05-18 Y. Ikeda , S. Aoki , T. Doi , T. Hatsuda , T. Inoue , N. Ishii , K. Murano , H. Nemura , K. Sasaki

In this article, we review the HAL QCD method to investigate baryon-baryon interactions such as nuclear forces in lattice QCD. We first explain our strategy in detail to investigate baryon-baryon interactions by defining potentials in field…

High Energy Physics - Lattice · Physics 2020-09-01 Sinya Aoki , Takumi Doi

We calculate the static quark and anti-quark potential both in quenched and two-flavor dynamical quark lattice QCD using DBW2 gauge and domain-wall quark actions. Lattice spacings from Sommer scale are determined. We find (i) mixing of…

High Energy Physics - Lattice · Physics 2019-08-14 Koichi Hashimoto , Taku Izubuchi

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

We report the recent progress on the determination of three-nucleon forces (3NF) in lattice QCD. We utilize the Nambu-Bethe-Salpeter (NBS) wave function to define the potential in quantum field theory, and extract two-nucleon forces (2NF)…

High Energy Physics - Lattice · Physics 2015-06-12 Takumi Doi , for HAL QCD Collaboration

We present our latest study of Lambda-Nucleon (LN) interaction by using lattice QCD, following up on our report at LATTICE 2008. We have calculated not only the scattering lengths but also the central and tensor potentials, which are…

High Energy Physics - Lattice · Physics 2010-11-05 H. Nemura , for HAL QCD , PACS-CS Collaboration

A novel Lattice QCD (LQCD) method to determine the quark-diquark ($q$-$D$) interaction potential together with the diquark mass ($m_D$) is proposed. Similar to the HAL QCD method, $q$-$D$ potential is determined by demanding it to reproduce…

High Energy Physics - Lattice · Physics 2021-07-21 Kai Watanabe , Noriyoshi Ishii

We report our recent study of spin-orbit force between two nucleons in the parity-odd sector from lattice QCD. To examine the quark mass dependence of spin-orbit force, we construct it from Nambu-Bethe-Salpeter wave functions in $^3P_0$,…

High Energy Physics - Lattice · Physics 2013-12-05 QCD Collaboration
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