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

Abstract

We investigate the bound states, Borromean states and resonant states for the 3Po (J = 1) states of \(pp\mu\), \(dd\mu\) and\(tt\mu\) molecular ions interacting with exponential-cosine-screened Coulomb potential. The bound 3Po 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 3Po state energies, the 3Po resonance parameters (energy and width), along with 1S and 2S 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 3Po 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.

Photoionization treatment of encompassed plasma-implanted exotic atoms

“…They enable the development of new mathematical and theoretical models and can lead to various technological applications. The Borromean states and resonant states of molecular ions under the effect of exponential cosine screened Coulomb potential, such as ppμ, ddμ, and ttμ, have been theoretically investigated [16]. In this study, critical values of the screening parameter for Borromean correlations are reported.…”