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Boundary-condition-determined wavefunctions for the ground states of some muonic molecular ions

We have developed a parameter-free model wavefunction for the muonic molecular ions n1n2μ(ni = p, d, t), which incorporates the correct cusp and coalescence conditions when two particles are close to each other, and the asymptotic property when one of the particles is far away. The predicted values for the energies and other properties of the molecular ions are close to the exact values and generally superior to the values from a 20 parameter, variational wavefunction.