“…Furthermore, the FS-RCC a 3 Π Ω=0 + ,1 − X 1 Σ + TDM functions reproduce very well the distinguishable τ -values measured for the different Ω ± -components of the (0 ± ,3,2) level [9]. At the same time, the present τ estimates for the (0 + ,0,J ′ ) level are significantly higher than the experimental 90 ms obtained for CO molecules trapped in solid neon matrices [2]. This difference can be understood by bearing in mind the exponential decrease of the radiative lifetimes as J ′ -value increase, namely: τ = 690, 250, 115 and 65 ms for J ′ = 0, 1, 2 and 3 levels, The ab initio a 3 Π 0 + ,1 − X 1 Σ + electronic transition dipole moments evaluated using the different computational schemes: FS-RCC -fully relativistic Fock space coupled cluster method combined with the finite-field (FF) approach and generalized relativistic effective core potentials (GRPPs), RCI -large scale fully relativistic multi-reference configuration interaction method, SSI -scalar-state-interacting calculation based on the GRPPs exploiting, MCQR -multi-configuration quadratic response approach as implemented in Ref.…”