Study On Bound And Resonant States Of μ-molecule Ions In Quantum Plasm

With the gradual maturation of plasma technology,the energy level of multi-body systems in plasma environment has become a current hot topic.In this paper,we investigated bound and resonant states of ppμ,ddμ and ttμ molecular ions,the calculation is mainly performed for the 1Se(J=0)and 3Po(J=1)states.The exponentialcosine-screened Coulomb potential is used to model the Quantum plasma environment.The bound state energies are calculated using the Rayleigh-Ritz variational method and the resonance parameters are calculated using the stabilization method.The wave functions were chosen to be highly correlated exponential wave functions.The results of the calculated bound state energies and resonance parameters were compared with the corresponding literature in the unscreened environment to verify the accuracy of the data.The bound state energies of the 1Se and 3Po states of the muonic molecular ions,the resonance parameters of the 1Se and 3Po states,and the threshold energies of 1S and 2S are given for different shielding parameters in the quantum plasma.In addition,the critical screening parameters for the 1Se and 3Po states of the ppμ,ddμ and ttμmolecular ions and two-body subsystems pμ,dμ and tμ are also reported.The range of critical parameters between the two-body subsystem and the three-body system is called the Borromean Window(BW).In this regard,the Borromean windows of the muonic molecular systems are found in this work.The convergence of the data was verified using an increase in the number of wave function terms.This work can provide useful information for exploring the structure and properties of atomic-molecular systems by performing accurate data calculations on the relevant systems,and can also provide a good complement to the energy level structure of multibody systems in the plasma environment.