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In this paper, employing an all-to-all quark propagator technique, we investigate the kaon-nucleon interactions in lattice QCD. We calculate the S-wave kaon-nucleon potentials at the leading order in the derivative expansion in the…

High Energy Physics - Lattice · Physics 2020-09-16 Kotaro Murakami , Yutaro Akahoshi , Sinya Aoki

A systematic way to constructing optimized interpolating operators for two-hadron systems is developed by incorporating inter-hadron spatial wavefunctions. The wavefunctions can be obtained from an iterative process with an appropriate…

High Energy Physics - Lattice · Physics 2025-07-15 Yan Lyu , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Kotaro Murakami , Takuya Sugiura

The effective residual interaction for a system of hadrons has a long tradition in theoretical physics. It has been mostly addressed in terms of boson exchange models. The aim of this review is to describe approaches based on lattice field…

High Energy Physics - Lattice · Physics 2007-05-23 H. Rudolf Fiebig , Harald Markum

We formulate a method for calculating the hadron-hadron scattering amplitudes at nonzero chemical potential ($\mu$) in the hadronic phase at zero temperature, where the baryon number symmetry remains to be violated. Although it is widely…

High Energy Physics - Lattice · Physics 2024-02-01 Kotaro Murakami , Etsuko Itou , Kei Iida

In lattice QCD, both direct method and HAL QCD method are used to investigate the two-baryon systems. We show that due to the contamination of the scattering excited states, it is challenging to measure the eigenenergy from the temporal…

High Energy Physics - Lattice · Physics 2018-11-16 Takumi Iritani , for HAL QCD Collaboration

The first lattice QCD result on the nuclear force (the NN potential) is presented in the quenched level. The standard Wilson gauge action and the standard Wilson quark action are employed on the lattice of the size 16^3\times 24 with the…

High Energy Physics - Lattice · Physics 2008-11-26 Noriyoshi ISHII , Sinya AOKI , Tetsuo HATSUDA

Chiral effective field theory is utilized for extrapolating results on the $\Lambda_c N$ interaction, obtained in lattice QCD at unphysical (large) quark masses, to the physical point. The pion-mass dependence of the components that…

High Energy Physics - Phenomenology · Physics 2018-11-22 J. Haidenbauer , G. Krein

We present a first attempt to determine nucleon-nucleon potentials in the parity-odd sector, which appear in 1P1, 3P0, 3P1, 3P2-3F2 channels, in Nf=2 lattice QCD simulations. These potentials are constructed from the Nambu-Bethe-Salpeter…

High Energy Physics - Lattice · Physics 2015-06-15 K. Murano , N. Ishii , S. Aoki , T. Doi , T. Hatsuda , Y. Ikeda , T. Inoue , H. Nemura , K. Sasaki

Understanding the strong interactions within baryonic systems beyond the up and down quark sector is pivotal for a comprehensive description of nuclear forces. This study explores the interactions involving hyperons, particularly the…

Nuclear Theory · Physics 2024-10-08 Fabian Hildenbrand , Serdar Elhatisari , Zhengxue Ren , Ulf-G. Meißner

I give an overview of efforts in the last year to calculate interactions among hadrons using lattice QCD. Results discussed include the extraction of low-energy phase shifts and three-body interactions, and the study of pion and kaon…

High Energy Physics - Lattice · Physics 2010-04-15 Silas R. Beane

We study the three nucleon force in Nf=2 dynamical clover fermion lattice QCD, utilizing the Nambu-Bethe-Salpeter wave function of the three nucleon system. Since parity-odd two nucleon potentials are not available in lattice QCD at this…

High Energy Physics - Lattice · Physics 2015-05-28 Takumi Doi , for HAL QCD Collaboration

In this chapter, the current status on baryon-baryon interactions such as nuclear forces in lattice Quantum ChromoDynamics (QCD) is reviewed. In studies of baryon-baryon interactions in lattice QCD, the most reliable method so far is the…

High Energy Physics - Lattice · Physics 2024-02-20 Sinya Aoki , Takumi Doi

Recent progresses of lattice QCD studies for hadron spectroscopy and interactions are briefly reviewed. Some emphasis are given on a new proposal for a method, which enable us to calculate potentials between hadrons. As an example of the…

High Energy Physics - Lattice · Physics 2014-02-14 Sinya Aoki

We present a lattice QCD study for the cutoff effects on nuclear forces. Two-nucleon forces are determined from Nambu-Bethe-Salpeter (NBS) wave functions using the HAL QCD method. Lattice QCD simulations are performed employing N_f = 2…

High Energy Physics - Lattice · Physics 2013-11-13 Takumi Doi , for HAL QCD Collaboration

We present a first real-time study of hadronic scattering in a $(1+1)$-dimensional SU(2) lattice gauge theory with fundamental fermions using tensor-network techniques. Working in the gaugeless Hamiltonian formulation, we investigate…

High Energy Physics - Lattice · Physics 2026-04-09 João Barata , Juan Hormaza , Zhong-Bo Kang , Wenyang Qian

We present a lattice model for superconducting fermions whose nearest-neighbour two-body interactions are a Bardeen-Cooper-Schrieffer-type pairing on the hypercubic lattice $\mathbb{Z}^d$ with the dimension $d\ge 3$. Although these…

Mathematical Physics · Physics 2022-04-19 Tohru Koma

In this paper, we report our first attempt at determining NN potentials in the parity odd sector including the spin-orbit force in lattice QCD, employing the method to extract successfully parity even NN potentials from Nambu-Bethe-Salpeter…

High Energy Physics - Lattice · Physics 2019-08-13 Keiko Murano

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

High Energy Physics - Lattice · Physics 2011-12-20 Takumi Doi , for HAL QCD Collaboration

We evaluate interhadron interactions in two-color lattice QCD from Bethe-Salpeter amplitudes on the Euclidean lattice. The simulations are performed in quenched SU(2) QCD with the plaquette gauge action at $\beta = 2.45$ and the Wilson…

High Energy Physics - Lattice · Physics 2010-12-21 Toru T. Takahashi , Yoshiko Kanada-En'yo

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