Bound states and resonance states of the plasma-embedded $pp\mu$ molecular ion

We have investigated the effect of weakly coupled hot plasmas on the bound states and resonance states of the $pp\mu$ molecular ion. The plasma effect is taken care of by employing a screened Coulomb (Yukawa-type) potential, and highly correlated wave functions are used. The ${}^{1}S^e$ and ${}^{3}P^o$ resonances of the $pp\mu$ molecular ion in plasmas for different screening parameters below the $p\mu \left(2S\right)$ threshold are calculated using the stabilization method. The bound ${}^{1}S^e$ and ${}^{3}P^o$ state energies of the $pp\mu$ molecular ion are determined using a variational method. The $p\mu \left(1S\right)$ and $p\mu \left(2S\right)$ threshold energies for various screening parameters are also reported here.

Figure 1

(Color online) Bound states of the $pp\mu$ molecular ion under Debye screening.

Figure 2

(Color online) (a) Stabilization plots and (b) the best fitting (solid line) of the calculated density of states (circles) for the lowest ${}^{1}S^e$ resonance of the $pp\mu$ molecular ion immersed in plasmas for $D=30$.

Figure 3

(Color online) (a) ${}^{1}S^e$ resonance energies and (b) the corresponding resonance widths of the $pp\mu$ molecular ion for different screening parameters.

Figure 4

(Color online) (a) ${}^{3}P^o$ resonance energies and (b) the corresponding resonance widths of the $pp\mu$ molecular ion for different screening parameters.