Hyperfine structure splitting of the bound $S(L=0)-$states in the symmetric muonic molecular ions

Abstract

The hyperfine structure splittings are determined for all five bound $S(L=0)-$states in the three symmetric muonic molecular ions: $pp\mu ,dd\mu$ and $tt\mu$. The expectation values of all interparticle delta-functions used in our calculations have been determined in recent highly accurate computations.