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

摘要

The bound-state properties of the non-symmetric muonic molecular ions pd mu, pt mu and dt mu in S(L = 0)-states are determined to a high accuracy. The corresponding variational wavefunctions have been constructed by using the two-stage strategy proposed previously (Frolov A M 1998 Phys. Rev. A 57 2436). The two- and three-particle delta functions and cusp values have also been determined for these systems quite accurately. The new multiprecision FORTRAN package developed by D H Bailey from NASA (1995 ACM Trans. Math. Softw. 21379) has been used extensively to perform our present calculations. The muon sticking probabilities are determined numerically for each of these muonic molecular ions in their S(L = 0)-states. The obtained values of the total sticking probabilities equal 99.800% (pd mu), 98.812% (pt mu), 0.893% (dt mu, ground state) and 0.893% (dt mu, excited state), respectively. The best variational results for all known 22 bound states in the muonic molecular ions are also presented. [References: 28]