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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 present the equation of state of infinite neutron matter as obtained from highly-realistic Hamiltonians that include nucleon-nucleon and three-nucleon coordinate-space potentials. We benchmark three independent many-body methods:…

Nuclear Theory · Physics 2022-06-08 A. Lovato , I. Bombaci , D. Logoteta , M. Piarulli , R. B. Wiringa

The rho-rho-N and rho-rho-Delta three-body systems have been studied within the framework of the fixed center approximation of Faddeev equation. The rho-rho interaction in isospin I=0, spin S=2 is strongly attractive, and so are the N-rho,…

Nuclear Theory · Physics 2015-05-28 Bao-Xi Sun , Hua-Xing Chen , E. Oset

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 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 describe and implement twisted boundary conditions for the deuteron and triton systems within finite-volumes using the nuclear lattice EFT formalism. We investigate the finite-volume dependence of these systems with different twists…

Nuclear Theory · Physics 2016-05-25 Christopher Körber , Thomas Luu

In the strangeness $S=-2$ sector, we study the $\Xi^{-}nn$ ($I=3/2, J^P={1/2}^+$) three-body system using pionless halo effective field theory (EFT), which provides a systematic model independent framework for assessing the feasibility of…

Nuclear Theory · Physics 2021-04-30 Ghanashyam Meher , Udit Raha

The energies and widths of $DNN$ quasi-bound states with isospin I=1/2 are evaluated in two methods, the fixed center approximation to the Faddeev equation and the variational method approach to the effective one-channel Hamiltonian. The…

High Energy Physics - Phenomenology · Physics 2015-06-05 M. Bayar , C. W. Xiao , T. Hyodo , A. Dote , M. Oka , E. Oset

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

The structure of few-fermion systems having $1/2$ spin-isospin symmetry is studied using potential models. The strength and range of the two-body potentials are fixed to describe low energy observables in the angular momentum $L=0$ state…

Nuclear Theory · Physics 2016-03-23 A. Kievsky , M. Gattobigio

We calculate the binding energies for multi-nucleon bound states with the nuclear mass number less than or equal to 4 in 2+1 flavor QCD at the lattice spacing of a = 0.09 fm employing a relatively heavy quark mass corresponding to m_pi =…

High Energy Physics - Lattice · Physics 2015-06-05 Takeshi Yamazaki , Ken-ichi Ishikawa , Yoshinobu Kuramashi , Akira Ukawa

Faddeev-Yakubovski equations in configuration space are used to solve four nucleon problem for bound and scattering states. Different realistic interaction models are tested, elucidating open problems in nuclear interaction description. On…

Nuclear Theory · Physics 2009-11-11 R. Lazauskas , J. Carbonell

Properties of the three-nucleon bound state are examined in the Faddeev formalism, in which the quark-model nucleon-nucleon interaction is explicitly incorporated to calculate the off-shell T-matrix. The most recent version, fss2, of the…

Nuclear Theory · Physics 2009-11-07 Y. Fujiwara , K. Miyagawa , M. Kohno , Y. Suzuki , H. Nemura

The $\Lambda^{\ast}$-hypernuclei, which are bound states of $\Lambda(1405)$ and nuclei, are discussed as a possible interpretation of the $\bar{K}$-nuclei. The Bonn and Nijmegen potentials are extended and used as a phenomenological…

Nuclear Theory · Physics 2008-11-26 A. Arai , M. Oka , S. Yasui

We perform ab initio self-consistent Green's function calculations of the closed shell nuclei $^{\rm 4}$He, $^{\rm 16}$O and $^{\rm 40}$Ca, based on two-nucleon potentials derived from Lattice QCD simulations, in the flavor SU(3) limit and…

Nuclear Theory · Physics 2018-02-28 C. McIlroy , C. Barbieri , T. Inoue , T. Doi , T. Hatsuda

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

Using separable potentials for $\bar{K}N-\pi\Sigma$ interaction, we investigated four-body kaonic nuclear systems such as $K^{-}ppn$ and $K^{-}K^{-}pp$, with the Faddeev AGS method in the momentum representation. The Faddeev calculations…

Nuclear Theory · Physics 2019-04-15 Sajjad Marri , Jafar Esmaili

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

Three-body states are critical to the dynamics of many hadronic resonances. We show that lattice QCD calculations have reached a stage where these states can be accurately resolved. We perform a calculation over a wide range of parameters…

High Energy Physics - Lattice · Physics 2020-09-24 Chris Culver , Maxim Mai , Ruairí Brett , Andrei Alexandru , Michael Döring

We determine the QCD equation of state at nonzero temperature in the presence of an isospin asymmetry between the light quark chemical potentials on the lattice. Our simulations employ $N_f=2+1$ flavors of dynamical staggered quarks at…

High Energy Physics - Lattice · Physics 2023-08-01 Bastian B. Brandt , Francesca Cuteri , Gergely Endrodi
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