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We propose a new method to extract hadron interactions above inelastic threshold from the Nambu-Bethe-Salpter amplitude in lattice QCD. We consider the scattering such as $A+B\rightarrow C+D$, where $A,B,C,D$ are names of different…

High Energy Physics - Lattice · Physics 2015-05-28 Sinya Aoki , Noriyoshi Ishii , Takumi Doi , Tetsuo Hatsuda , Yoichi Ikeda , Takashi Inoue , Keiko Murano , Hidekatsu Nemura , Kenji Sasaki

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…

We study the asymptotic behaviors of the Nambu-Bethe-Salpeter (NBS) wave functions, which are important for the HAL QCD potential method to extract hadron interactions, in the case that a bound state exists in the system. We consider the…

High Energy Physics - Lattice · Physics 2019-12-06 Shinya Gongyo , Sinya Aoki

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 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 report on new attempt to investigate baryon-baryon interactions in lattice QCD. From the Bethe-Salpeter (BS) wave function, we have successfully extracted the nucleon-nucleon ($NN$) potentials in quenched QCD simulations, which reproduce…

High Energy Physics - Lattice · Physics 2011-04-07 Sinya Aoki

We report on new attempt to investigate baryon-baryon interactions in lattice QCD. From the Bethe-Salpeter (BS) wave function, we have successfully extracted the nucleon-nucleon ($NN$) potentials in quenched QCD simulations, which reproduce…

High Energy Physics - Lattice · Physics 2010-11-03 Sinya Aoki

We derive asymptotic behaviors of the Nambu-Bethe-Salpeter (NBS) wave function at large space separations for systems with more than 2 particles in quantum field theories. To deal with $n$-particles in the center of mass flame coherently,…

High Energy Physics - Lattice · Physics 2013-08-09 Sinya Aoki , Noriyoshi Ishii , Takumi Doi , Yoichi Ikeda , Takashi Inoue

We review recent investigations on the short distance behaviors of potentials among baryons, which are formulated through the Nambu-Bethe-Salpeter (NBS) wave function. After explaining the method to define the potentials, we analyze the…

High Energy Physics - Lattice · Physics 2013-05-01 S. Aoki , J. Balog , T. Doi , T. Inoue , P. Weisz

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

The strangeness $S=-2$ baryon-baryon interaction is investigated directly from the fundamental theory of the strong interaction, QCD. The HAL QCD method enables us to extract baryon interactions from the Nambu-Bethe-Salpeter wave functions…

The approximated partial wave decomposition method to the discrete data on a cubic lattice, developed by C. W. Misner, is applied to the calculation of $S$-wave hadron-hadron scatterings by the HAL QCD method in lattice QCD. We consider the…

High Energy Physics - Lattice · Physics 2020-04-29 Takaya Miyamoto , Yutaro Akahoshi , Sinya Aoki , Tatsumi Aoyama , Takumi Doi , Shinya Gongyo , Kenji 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

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 investigate baryon-baryon interactions with strangeness $S=-2$ and isospin I=0 system from Lattice QCD. In order to solve this system, we prepare three types of baryon-baryon operators ($\Lambda-\Lambda$, $N-\Xi$ and $\Sigma-\Sigma$) for…

High Energy Physics - Lattice · Physics 2010-12-30 Sasaki for HAL QCD collaboration

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

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 derive an energy-independent and non-local potential for the baryon-baryon interaction from the Nambu-Bethe-Salpeter amplitude on the lattice. The method is applied to the nucleon-nucleon interactions with the (2+1)-flavor lattice QCD…

Nuclear Theory · Physics 2015-03-17 Tetsuo 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

Using a new method recently proposed by the HAL QCD collaboration to study hadron interactions in lattice QCD, we investigate a possibility for an existence of the H-dibaryon in the flavor SU(3) symmetric world. A potential for the…

High Energy Physics - Lattice · Physics 2011-11-23 Takashi Inoue , for HAL QCD Collaboration
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