Highly accurate calculations of the rotationally excited bound states in three-body systems

TL;DR

This paper introduces an effective optimization method for constructing highly accurate wave functions to compute rotationally excited bound states in various three-body systems, including muonic molecules and helium atoms.

Contribution

The paper presents a novel optimization strategy that significantly improves the accuracy of calculations for weakly bound and excited states in three-body systems.

Findings

Accurate calculations of excited P-states in muonic molecular ions.

Precise determination of P-states in non-symmetric muonic ions.

Detailed computation of P-states in helium atoms.

Abstract

An effective optimization strategy has been developed to construct highly accurate bound state wave functions in various three-body systems. Our procedure appears to be very effective for computations of weakly bound states and various excited states, including rotationally excited states, i.e. states with $L \ge 1$. The efficiency of our procedure is illustrated by computations of the excited $P^{*}(L = 1)-$states in the $dd\mu, dt\mu$ and $tt\mu$ muonic molecular ions, $P(L = 1)-$states in the non-symmetric $pd\mu, pt\mu$ and $dt\mu$ ions and $2^{1}P(L = 1)-$ and $2^{3}P(L = 1)-$states in He atom(s).