Nucleon-nucleon potential in holographic QCD

We derive the nucleon-nucleon potential in the D4-D8 model of holographic QCD. The nucleon-nucleon potential emerges from one-boson exchange picture with massless pseudo-scalars and an infinite tower of spin one mesons. We observe in particular that the tensor coupling of the rho meson with nucleon comes out naturally larger than the vector coupling, whereas for omega mesons and axial mesons, such tensor couplings are completely absent. The potential is universally repulsive similar to 1/r(2) at short distance, and has the usual long-distance attractive behavior similar to 1/r(3) along a isospin singlet and spin triplet channel. Both the large N-c form and the finite Nc form are given. In the former, a shallow classical minimum of depth similar to 0.1M(KK)N(c)/lambda forms at about rM(KK) similar or equal to 5.5. We discuss shallow bound states of nucleons with the holographic potential.