Accurate calculation of the 4p lifetimes of ${\mathrm{Ca}}^{+}$

A recent measurement with improved (1%) accuracy of the ${\mathrm{Ca}}^{+}$ 4$p_{1/2}$ and 4$p_{3/2}$ lifetimes reported a discrepancy of about 9% with the available theoretical estimates. I report an improved calculation based on a recently developed and employed method which yields excellent agreement with these high-accuracy measurements.