Light antiproton one-electron quasi-molecular ions within the relativistic A-DKB method

Area of Science:

• Atomic and Molecular Physics
• Quantum Chemistry
• Antimatter Physics

Background:

• Antiproton quasi-molecular ions are exotic systems with unique electronic properties.
• Understanding relativistic effects is crucial for accurately describing these systems.

Purpose of the Study:

• To investigate the electronic structure of antiproton quasi-molecular ions (He+-p̄ and H-p̄).
• To calculate and analyze electron binding energies as a function of internuclear distance.
• To compare relativistic and nonrelativistic calculations and validate the A-DKB method.

Main Methods:

• Utilized relativistic calculations within a finite-basis method adapted for axial symmetry.
• Constructed adiabatic potential curves by numerically solving the two-center Dirac equation.
• Employed the A-DKB method for calculations.

Main Results:

• Obtained electron binding energies for He+-p̄ and H-p̄ systems.
• Compared relativistic results with nonrelativistic values and leading-order relativistic corrections.
• Demonstrated the advantages of the A-DKB method in accuracy and efficiency.

Conclusions:

• Relativistic effects significantly influence the binding energies of antiproton quasi-molecular ions.
• The A-DKB method provides accurate results for these complex systems.
• The study contributes to the understanding of antimatter-based molecular structures.