Effect of reconnection probability on cosmic (super)string network density

We perform numerical simulations of cosmic string evolution with intercommuting probability P in the range 5x10(-3)<= P <= 1, both in the matter and radiation eras. We find that the dependence of the scaling density on P is significantly different than the suggested rho proportional to P-1 form. In particular, for probabilities greater than P similar or equal to 0.1, rho(1/P) is approximately flat, but for P less than this value it is well-fitted by a power-law with exponent 0.6(-0.12)(+0.15). This shows that the enhancement of string densities due to a small intercommuting probability is much less prominent than initially anticipated. We interpret the flat part of rho(1/P) in terms of multiple opportunities for string reconnections during one crossing time, due to small-scale wiggles. We also propose a two-scale model, which satisfactorily fits our results over the whole range of P covered by the simulations.