Mass corrections for the bound states in the muonic molecular ions

Abstract

The mass corrections to the bound state energies of the three-body muonic molecular ions $pp\mu ,pd\mu ,pt\mu ,dd\mu ,dt\mu$ and $tt\mu$ are determined numerically from the results of highly accurate computations. The total energies and some other bound state properties of these ions are evaluated to very high accuracy for the bound $S(L=0)-,P(L=1)-$ and $D(L=2)-$states. In these highly accurate calculations we used the most recent and accurate masses of particles $m_p,m_d,m_t$ and $m_{\mu }$ known from high energy experiments.