High-accuracy calculation of muonic molecules using random-tempered basis sets

Abstract
We use random-tempering formulas and explicitly correlated Slater-type geminals to calculate the S and P bound-state energies of the muonic molecules xyμ, where x,y=p,d,t. The final binding energies are accurate to about 1 μeV or better except for the weakly bound tdμ(11) state. For this state we get a binding energy of 0.660 1721 eV, which is better than any previous calculation.