Bound-state properties and muon sticking probabilities for theS(L = 0)-states in non-symmetric muonic molecular ions

Abstract

The bound-state properties of the non-symmetric muonic molecular ions pdµ, ptµ and dtµ in S(L = 0)-states are determined toa high accuracy. The corresponding variational wavefunctions have beenconstructed by using the two-stage strategy proposed previously(Frolov A M 1998 Phys. Rev. A 57 2436). The two- and three-particle deltafunctions and cusp values have also been determined for these systemsquite accurately. The new multiprecision FORTRAN package developed byD H Bailey from NASA (1995 ACM Trans. Math. Softw. 21 379) hasbeen used extensively to perform our present calculations. The muonsticking probabilities are determined numerically for each of these muonicmolecular ions in their S(L = 0)-states. The obtained values of thetotal sticking probabilities equal 99.800% (pdµ), 98.812% (ptµ), 0.893% (dtµ, ground state) and 0.893% (dtµ,excited state), respectively. The best variational results for all known22 bound states in the muonic molecular ions are also presented.