2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204851The nuclear K-shell electron-capture (EC)and positron (beta+) decay constants, lambda_(EC) and lambda_(beta^+) of H-like 140Pr58+ and He-like 140Pr57+ ions, measured recently in the ESR ion storage ring at GSI, were calculated using standard weak interaction theory. The calculated ratios R = lambda_(EC)/lambda_(beta^+) of the decay constants agree with the experimental values within an accuracy better than 3 %.Latex 14 pages, no figures, we have corrected some references, discussed in more detail the ratio of the EC-decay constants of the H-like and He-like ions and added Appendices with the detailed calculations of the weak decay constantsNuclear TheoryHigh Energy Physics - PhenomenologyNuclear Experimenttext