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We investigate the short distance behavior of nucleon-nucleon (NN) potentials defined through Bethe-Salpeter wave functions, by perturbatively calculating anomalous dimensions of 6-quark operators in QCD. Thanks to the asymptotic freedom of…

High Energy Physics - Lattice · Physics 2015-05-18 Sinya Aoki , Janos Balog , Peter Weisz

We investigate the short distance behavior of the nucleon--nucleon (NN) potential defined through the Bethe-Salpeter wave function, by perturbatively calculating anomalous dimensions of 6--quark operators in QCD. Thanks to the asymptotic…

High Energy Physics - Lattice · Physics 2010-11-05 Sinya Aoki , Janos Balog , Peter Weisz

We report on our recent attempts to determine the short distance behaviors of general 2-baryon and 3-baryon forces, which are defined from the Nambu-Bethe-Salpeter(NBS) wave function, by using the operator product expansion and a…

High Energy Physics - Lattice · Physics 2013-01-03 Sinya Aoki , Janos Balog , Peter Weisz

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

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

Three-nucleon forces (3NF) are investigated from two-flavor lattice QCD simulations. We utilize the Nambu-Bethe-Salpeter (NBS) wave function to determine two-nucleon forces (2NF) and 3NF in the same framework. As a first exploratory study,…

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 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 short distance behavior of baryon-baryon potentials defined through Nambu-Bethe-Salpeter wave functions is investigated using the operator product expansion. In a previous analysis of the nucleon-nucleon case, corresponding to the SU(3)…

High Energy Physics - Lattice · Physics 2014-11-21 Sinya Aoki , Janos Balog , Peter Weisz

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 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 compute three-body nuclear forces at short distances by using the nuclear matrix model of holographic QCD proposed in our previous paper with P. Yi. We find that the three-body forces at short distances are repulsive for (a) aligned…

High Energy Physics - Theory · Physics 2011-01-05 Koji Hashimoto , Norihiro Iizuka

We study the three nucleon force in the triton channel using dynamical clover fermion lattice QCD. The Nambu-Bethe-Salpeter wave function is utilized to obtain the potentials among three nucleons. Since the straightforward calculation is…

High Energy Physics - Lattice · Physics 2010-11-03 T. Doi , for HAL QCD Collaboration

Nucleon-nucleon (NN) potential is studied by lattice QCD simulations in the quenched approximation, using the plaquette gauge action and the Wilson quark action on a 32^4 (\simeq (4.4 fm)^4) lattice. A NN potential V_{NN}(r) is defined from…

Nuclear Theory · Physics 2008-11-26 N. Ishii , S. Aoki , T. Hatsuda

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

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

Quark--anti-quark (anti-q-q) potentials with finite quark masses 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…

High Energy Physics - Lattice · Physics 2012-12-03 Yoichi Ikeda , Hideaki Iida

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

The three nucleon interaction that arises from pion and the effective scalar and vector meson exchange components of the nucleon-nucleon interaction is constructed and shown to be repulsive. Using several wavefunction models we show that…

Nuclear Theory · Physics 2016-08-15 S. A. Coon , M. T. Peña , D. O. Riska

The Nambu-Bethe-Salpeter (NBS) wave function for two nucleons on the lattice has been shown to yield a non-local and energy-independent nucleon-nucleon (NN) potential, U(r,r'). In practice, the derivative expansion of U(r,r') is currently…

High Energy Physics - Lattice · Physics 2010-12-20 Keiko Murano , Noriyoshi Ishii , Sinya Aoki , Tetsuo Hatsuda
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