Abstract
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We develop a numerical method to study particle decay process of pp\mu*_{J\nu} muonic molecules. This
muonic molecular ion is formed in collisions of excited p\mu (2s) atoms with 2 H molecules. At
before, we applied wave functions where were not exact. The present method is used to calculate
the decay widths with an improved variational wave function. The calculations are based on
Hamiltonian that includes the Coulomb interactions only, and give reasonable energy levels and
particle decay widths for the meta-stable pp\mu*_{J\nu} molecular ion. Here, the wave function of this
three-body is introduced.
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