Nuclear Force from String Theory
Abstract
We compute nuclear force in a holographic model of QCD on the basis of a D4-D8 brane configuration in type IIA string theory. Repulsive core of nucleons is quite important in nuclear physics, but its origin has not been well-understood in strongly-coupled QCD. We find that string theory via gauge/string duality deduces this repulsive core at short distance between nucleons. Since baryons in the model are realized as solitons given by Yang-Mills instanton configuration on flavor D8-branes, ADHM construction of two instantons probes well the nucleon interaction at short scale, which provides the nuclear force quantitatively. We obtain, as well as a tensor force, a central force which is strongly repulsive as suggested in experiments and lattice results. In particular, the nucleon-nucleon potential V(r) (as a function of the distance) scales as 1/r^2, which is peculiar to the holographic model. We compare our results with one-boson exchange model using the nucleon-nucleon-meson coupling obtained in our previous paper (arXiv:0806.3122).
Keywords
Cite
@article{arxiv.0901.4449,
title = {Nuclear Force from String Theory},
author = {Koji Hashimoto and Tadakatsu Sakai and Shigeki Sugimoto},
journal= {arXiv preprint arXiv:0901.4449},
year = {2010}
}
Comments
PTPTeX, 56 pages, v2: typos corrected, appendix G added to compute a one-boson exchange potential from a standard field-theoretical point of viewv, v3: version published in Prog.Theor.Phys.