Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-03-25
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.
Hashimoto Katsumi
Iizuka Norihiro
Yi Piljin
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