what would actually be seen in a detector. 

## 8.2 The premise 

All AdS-QCD models provide a weakly coupled five dimensional gravita- tional theory that describes the hadrons of QCD. Each hadron and its ex- cited states (e.g. the ‘stack’ of ρ meson masses: ρ (770) , ρ (1450) , ρ (1700) . . . ) is described by a five dimensional field that shares the Lorentz and global symmetries of the hadron. In the gravitational theory one seeks solutions for those fields that separate the 3+1 dimensional dependence from the extra radial dependence. More succinctly, we seek solutions of the form g$_{n}$ ( r ) e ik$_{n}$x with k 2 n = M 2 $_{n}$. There are only regular solutions on the space for discrete masses: these correspond to the meson masses. The functions g$_{n}$ ( r ) form an orthogonal basis with the appropriate weighting function. 

We will assume that at the point where the quarks form hadrons, the energy of the event is democratically available to all hadronic channels. We describe the initial condition as some deposition of energy into the 5D model’s stress-energy tensor. The radial dependence of the stress-energy dependence can be expanded in terms of the functions g$_{n}$ and will deter- mine the relative multiplicities of each particle in a hadron stack. The x dependence will determine the energy and momentum of the hadrons. In this paper we will simply concentrate on the multiplicities. 

The result for the multiplicities depends on the choice of the function expanded in terms of the g$_{n}$ and this represents the matching to the under- lying asymptotically free QCD dynamics. The simple guess we will employ is that we should treat all hadronic channels equally and pick a Gaussian for the initial condition. The height of the Gaussian determines the absolute value of each particle’s multiplicity and hence is a free parameter which we 

