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The two pion channel in Lattice QCD has long been a primary testing ground for studying multiparticle scattering in finite volume QCD. With the development of sophisticated techniques such as distillation, it is possible to carefully study…

High Energy Physics - Lattice · Physics 2023-04-10 Mattia Bruno , Daniel Hoying , Taku Izubuchi , Christoph Lehner , Aaron S. Meyer , Masaaki Tomii

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

Nucleon-nucleon systems in the $^3S_1$ and the $^1S_0$ channels are studied in lattice quantum chromodynamics at a pion mass of approximately $m_{\pi}\approx292$ MeV, employing three $N_f = 2+1$ ensembles with the same pion mass and lattice…

High Energy Physics - Lattice · Physics 2026-05-19 Kuan Zhang , Kang Yu , Yiqi Geng , Chuan Liu , Liuming Liu , Peng Sun , Jia-Jun Wu , Ruilin Zhu

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

Isospin-1/2 $D\pi$ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately $(3.6\; \mathrm{fm})^3$ and with a light quark mass corresponding to $m_\pi\approx239$ MeV. The spectrum of the elastic…

High Energy Physics - Lattice · Physics 2021-08-30 Luke Gayer , Nicolas Lang , Sinéad M. Ryan , David Tims , Christopher E. Thomas , David J. Wilson

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

Lattice QCD calculation of s-wave hadron scattering lengths in the channels \pi-\pi, \pi-N, K-N, {\bar K}-N and N-N is carried out in the quenched QCD at $\beta=6/g^2=5.7$. A variant of the method of wall sourceis developed for this…

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

We study s-wave pion-pion ($\pi\pi$) scattering length in lattice QCD for pion masses ranging from 330 MeV to 466 MeV. In the "Asqtad" improved staggered fermion formulation, we calculate the $\pi\pi$ four-point functions for isospin I=0…

High Energy Physics - Lattice · Physics 2015-05-30 Ziwen Fu

We present preliminary results on the $I=0$, $S=-2$ $H$ dibaryon in $N_{\rm f}=2+1$ QCD. The calculation is performed with heavier-than-physical quarks ($m_\pi \approx 280$ MeV) on a single CLS ensemble. Correlation matrices are constructed…

In this study, we extend the HAL QCD method to a case where a total momentum of a two-particle system is non-zero and apply it to the $I=2$ S-wave $\pi\pi$ scattering in order to confirm its validity. We derive a fundamental relation of an…

High Energy Physics - Lattice · Physics 2023-01-18 Yutaro Akahoshi , Sinya Aoki

It is demonstrated that both elastic and inelastic $NN$ scattering at laboratory energies up to 600--800 MeV, at least in some partial waves characterized by a large inelasticity, can be described by a superposition of the conventional…

Nuclear Theory · Physics 2019-05-22 V. I. Kukulin , V. N. Pomerantsev , O. A. Rubtsova , M. N. Platonova

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

In this work, we calculate meson-baryon scattering phase shifts in four channels using lattice QCD methods. From a set of calculations at four volumes, corresponding to spatial sizes of 2, 2.5, 3, and 4 fm, and a pion mass of m_pi ~ 390…

High Energy Physics - Lattice · Physics 2016-06-28 William Detmold , Amy Nicholson

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

A distorted-wave method is used to analyse nucleon-nucleon scattering in the 1S0 channel. Effects of one-pion exchange are removed from the empirical phase shift to all orders by using a modified effective-range expansion. Two-pion exchange…

Nuclear Theory · Physics 2010-11-08 Michael C. Birse

We propose a method to determine the isoscalar \bar K N scattering length on the lattice. Our method represents the generalization of L\"uscher's approach in the presence of inelastic channels (complex scattering length). In addition, the…

High Energy Physics - Lattice · Physics 2015-05-13 Michael Lage , Ulf-G. Meißner , Akaki Rusetsky

We study decuplet baryons from meson-baryon interactions in lattice QCD, in particular, $\Delta$ and $\Omega$ baryons from P-wave $I=3/2$ $N\pi$ and $I=0$ $\Xi\bar{K}$ interactions, respectively. Interaction potentials are calculated in the…

High Energy Physics - Lattice · Physics 2023-05-01 Kotaro Murakami , Yutaro Akahoshi , Sinya Aoki , Takumi Doi , Kenji Sasaki

The s-wave pion-pion ($\pi\pi$) scattering lengths are computed below the inelastic threshold by the L\"uscher technique with pion masses ranging from 240 MeV to 463 MeV. In the Asqtad-improved staggered fermion formulation, we calculate…

High Energy Physics - Lattice · Physics 2013-04-03 Ziwen Fu

The low-energy $J/\psi N$ scattering is of significant importance for various reasons. It is deeply interconnected with the hidden-charm $P_c$ pentaquark states, provides insights into the role of gluons in nucleon structures, and is…

High Energy Physics - Phenomenology · Physics 2025-03-04 Bing Wu , Xiang-Kun Dong , Meng-Lin Du , Feng-Kun Guo , Bing-Song Zou

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
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