Nonrelativistic energies and predissociation widths of quasibound states in the Li$d\mu$ molecular ions

TL;DR

This paper numerically investigates quasibound rotational states and their widths in Li muonic molecular ions, providing precise calculations of wave functions at nuclear coalescence points, relevant for low-energy fusion studies.

Contribution

It introduces a detailed numerical analysis of quasibound states in Li muonic ions using complex coordinate rotation, identifying resonant states and calculating key wave function parameters.

Findings

Identified six resonant rotational states with picosecond lifetimes.

Calculated wave function squared at nuclear coalescence points with better than 3% precision.

Results are relevant for understanding low-energy fusion reactions involving muonic molecules.

Abstract

Muonic molecular ions $^6$Li$^{3+}d\mu$ and $^7$Li$^{3+}d\mu$ are studied numerically. Using the complex coordinate rotation method we found six rotational states (three for each isotope), which are resonant states with the life-time of an order of picoseconds. These molecular systems may be of interest for studying low-energy fusion reactions. A key quantity, $|\Psi(0)|^2$, the wave function squared at the coalescence point of the nuclei is calculated for $S$ states for both isotopes with a precision better than 3\%.