Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics

The nuclear force acting between protons and neutrons is studied in the Monte Carlo simulations of the fundamental theory of the strong interaction, the quantum chromodynamics defined on the hypercubic space-time lattice. After a brief summary of the empirical nucleon-nucleon (NN) potentials which can fit the NN scattering experiments in high precision, we outline the basic formulation to derive the potential between the extended objects such as the nucleons composed of quarks. The equal-time Bethe-Salpeter amplitude is a key ingredient for defining the NN potential on the lattice. We show the results of the numerical simulations on a $32^4$ lattice with the lattice spacing $a \simeq 0.137$fm (lattice volume (4.4 fm)$^4$) in the quenched approximation. The calculation was carried out using the massively parallel computer Blue Gene/L at KEK. We found that the calculated NN potential at low energy has basic features expected from the empirical NN potentials; attraction at long and medium distances and the repulsive core at short distance. Various future directions along this line of research are also summarized.Comment: 13 pages, 4 figures, version accepted for publication in "Computational Science & Discovery" (IOP

Wright State University College of Engineering and Computer Science Bits and PCs newsletter, Volume 13, Number 9, November 1997

A twelve page newsletter created by the Wright State University College of Engineering and Computer Science that addresses the current affairs of the college.https://corescholar.libraries.wright.edu/bits_pcs/1079/thumbnail.jp

Wright State University College of Engineering and Computer Science Bits and PCs newsletter, Volume 13, Number 9, November 1997

A twelve page newsletter created by the Wright State University College of Engineering and Computer Science that addresses the current affairs of the college.https://corescholar.libraries.wright.edu/bits_pcs/1079/thumbnail.jp

Wright State University College of Engineering and Computer Science Bits and PCs newsletter, Volume 13, Number 2, February 1997

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Wright State University College of Engineering and Computer Science Bits and PCs newsletter, Volume 13, Number 8, October 1997

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Wright State University College of Engineering and Computer Science Bits and PCs newsletter, Volume 13, Number 4, April 1997

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