A Matrix Model for Baryons and Nuclear Forces

Details A Matrix Model for Baryons and Nuclear Forces A Matrix Model for Baryons and Nuclear Forces

2010-03-25

arxiv.org/abs/1003.4988v3

JHEP 2010:1-29,2010; JHEP 1010:003,2010

Physics

High Energy Physics

High Energy Physics - Theory

30 pages. v3: more comments added, published version

Scientific paper

10.1007/JHEP10(2010)003

We propose a new matrix model describing multi-baryon systems. We derive the action from open string theory on the wrapped baryon vertex D-branes embedded in the D4-D8 model of large N holographic QCD. The positions of k baryons are unified into k x k matrices, with spin/isospin of the baryons encoded in a set of k-vectors. Holographic baryons are known to be very small in the large 't Hooft coupling limit, and our model offers a better systematic approach to dynamics of such baryons at short distances. We compute energetics and spectra (k=1), and also short-distance nuclear force (k=2). In particular, we obtain a new size of the holographic baryon and find a precise form of the repulsive core of nucleons. This matrix model complements the instanton soliton picture of holographic baryons, whose small size turned out to be well below the natural length scale of the approximation involved there. Our results show that, nevertheless, the basic properties of holographic baryons obtained there are robust under stringy corrections within a few percents.

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