The 3Po states of exotic molecular ions with exponential-cosine-screened Coulomb potentials

We investigate the bound states, Borromean states and resonant states for the 3 P o ( J  = 1) states of \(pp\mu\), \(dd\mu\) and\(tt\mu\) molecular ions interacting with exponential-cosine-screened Coulomb potential. The bound 3 P o state energies are calculated using the Rayleigh-Ritz variational method and the resonance parameters are calculated using the stabilization method. Highly correlated exponential wave functions are used. The bound 3 P o state energies, the 3 P o resonance parameters (energy and width), along with 1 S and 2 S threshold energies of the \(p\mu\), \(d\mu\) and\(t\mu\) atoms are also reported for different shielding parameters. The critical values of the screening parameters for the 3 P o states are also reported for which the three-body exotic molecular systems are stable while all the possible fragments are unbound, that is shows windows for Borromean binding.