⁴⁵V(p, γ) thermonuclear reaction rate relevant to ⁴⁴Ti production in core-collapse supernovae: General estimates and shell model analysis

The lack of knowledge of the ⁴⁵V(p, γ) reaction rate has been shown to contribute a large uncertainty to the production of ⁴⁴Ti in core-collapse supernovae. By considering likely contributions from resonances associated with ⁴⁶Cr states that are the isobaric analog of states in ⁴⁶Ti, we have determined that the currently accepted value of the ⁴⁵V(p, γ) reaction rate is unlikely to be inaccurate by more than an order of magnitude. These conclusions are confirmed by the shell model calculations with the FPD6 effective interaction.