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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

Recent studies by the NPLQCD collaboration of hadronic interactions using lattice QCD are reviewed, with an emphasis on a recent calculation of meson-baryon scattering lengths. Ongoing high-statistics calculations of baryon interactions are…

High Energy Physics - Lattice · Physics 2014-11-20 Silas Beane

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 perform a lattice QCD calculation of the $S$-wave interactions between the ground-state spin-$1/2$ doubly charmed baryons and Goldstone bosons. The lattice QCD simulations are carried out on four $2+1$ flavor Wilson-Clover ensembles…

High Energy Physics - Lattice · Physics 2026-03-02 Jing-Yu Yi , Ze-Rui Liang , Liuming Liu , De-Liang Yao

We present results of a numerical calculation of lattice QCD with two degenerate flavors of dynamical quarks, identified with up and down quarks, and with a strange quark treated in the quenched approximation. The lattice action and…

We review the potential method in lattice QCD, which has recently been proposed to extract nucleon-nucleon interactions via numerical simulations. We focus on the methodology of this approach by emphasizing the strategy of the potential…

High Energy Physics - Lattice · Physics 2013-09-18 Sinya Aoki

A comparative study between the L\"uscher's finite volume method and the time-dependent HAL QCD method is given for the $\Xi\Xi$($^1\mathrm{S}_0$) interaction as an illustrative example. By employing the smeared source and the wall source…

High Energy Physics - Lattice · Physics 2015-12-15 Takumi Iritani , for HAL QCD Collaboration

An exploratory study is made of the nucleon-nucleon $s$-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The $\pi$-$N$ and $\pi$-$\pi$ scattering lengths are also calculated for comparison. The calculations are…

High Energy Physics - Lattice · Physics 2016-08-31 M. Fukugita , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa

Combining the quark model, the quark-pair-creation mechanism and $B^{(*)}\bar K$ interaction, we have investigated the near-threshold $P$-wave $B_s$ states in the framework of the Hamiltonian effective field theory. With the heavy quark…

High Energy Physics - Lattice · Physics 2023-01-18 Zhi Yang , Guang-Juan Wang , Jia-Jun Wu , Makoto Oka , Shi-Lin Zhu

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…

High Energy Physics - Lattice · Physics 2011-08-11 William Detmold , Brian Smigielski

We present our latest results for the the complex valued static heavy-quark potential at finite temperature from lattice QCD. The real and imaginary part of the potential are obtained from the position and width of the lowest lying peak in…

High Energy Physics - Lattice · Physics 2014-10-28 Yannis Burnier , Olaf Kaczmarek , Alexander Rothkopf

We present a lattice QCD calculation of the S-wave interactions between the spin-1/2 doubly charmed baryons ($\Xi_{cc},\Omega_{cc}$) and Goldstone bosons ($\pi,K,\bar{K}$) using the $N_f=2+1$ CLQCD ensembles with lattice spacing $a =…

High Energy Physics - Lattice · Physics 2025-09-30 Jing-Yu Yi , Ze-Rui Liang , Liuming Liu , De-Liang Yao

In a lattice QCD calculation with two light dynamical Chirally Improved (CI) quarks we determine ground state and some excited state masses in all four Lambda baryon channels 1/2^\pm and 3/2^\pm. We perform an infinite volume extrapolation…

High Energy Physics - Lattice · Physics 2015-06-12 Georg P. Engel , C. B. Lang , Andreas Schäfer

Lattice quantum chromodynamics (QCD) will soon become the primary theoretical tool in rigorous studies of single- and multi-hadron sectors of QCD. It is truly ab initio meaning that its only parameters are those of standard model. The…

High Energy Physics - Lattice · Physics 2014-09-09 Zohreh Davoudi

We present results for charmonium-nucleon potential $V_{c\bar{c}-N}(r)$ from quenched lattice QCD, which is calculated from the equal-time Bethe-Salpeter amplitude through the effective Schr\"odinger equation. Detail information of the…

High Energy Physics - Lattice · Physics 2010-11-11 Taichi Kawanai , Shoichi Sasaki

The baryon-baryon interactions with strangeness S = -2 with the flavor SU(3) breaking are calculated for the first time by using the HAL QCD method extended to coupled channel system in lattice QCD. The potential matrices are extracted from…

High Energy Physics - Lattice · Physics 2015-11-18 Kenji Sasaki , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Yoichi Ikeda , Takashi Inoue , Noriyoshi Ishii , Keiko Murano

Two different descriptions of the existing pion-nucleon scattering data in the region of the Roper resonance are constructed. Both descriptions fit the experimental data very well. In one scenario the resonance is the result of strong…

Nuclear Theory · Physics 2018-06-06 Jia-jun Wu , Derek B. Leinweber , Zhan-wei Liu , Anthony W. Thomas

We investigate three-nucleon forces (3NF) from lattice QCD simulations, utilizing the Nambu-Bethe-Salpeter (NBS) wave function to determine two-nucleon forces (2NF) and 3NF on the same footing. Quantum numbers of the three-nucleon (3N)…

High Energy Physics - Lattice · Physics 2015-05-30 Takumi Doi , for HAL QCD Collaboration

The spectrum of the negative-parity spin-1/2 $\Lambda$ baryons is studied using lattice QCD and hadronic effective theory in a unitarized coupled-channel framework. A direct comparison between the two approaches is possible by considering…

High Energy Physics - Lattice · Physics 2021-07-20 Rafael Pavao , Philipp Gubler , Pedro Fernandez-Soler , Juan Nieves , Makoto Oka , Toru T. Takahashi

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