The reaction ${}_{}{}^2{}_{}{}^{}\mathrm{H}({}_{}{}^{13}{}_{}{}^{}\mathrm{C}, p){}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ has been used to measure the lifetime of the ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$(6.59 MeV,$0^{+}$) state. From recoil distance and Doppler shift attenuation measurements a value $\tau =(4.6\mathrm{}\pm 0.7)$ ps was found. The reaction ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}(d, p){}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ has been used to study the $E0\mathrm{}$ $\pi$ decay of the $0^{+}$ state. The branching ratio $\frac{{\Gamma }_{\pi }}{\Gamma }$ was measured to be (1.1±0.1) × ${10}^{-2\mathrm{}}$. When this value is combined with the determined lifetime an $E0\mathrm{}$ matrix element ${〈M〉}_{\pi }=(0.36\mathrm{}\pm 0.06)$ ${\mathrm{fm}}^2$ is obtained.

NUCLEAR REACTIONS $d({}_{}{}^{13}{}_{}{}^{}\mathrm{C}, p)$, $E=18.9\mathrm{}$ MeV; ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}(d, p)$, $E=2.7\mathrm{}$ MeV; ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ measured lifetime and $E0\mathrm{}$ branching ratio, deduced $E0\mathrm{}$ matrix element. Enriched targets.

• Received 10 March 1980

DOI:https://doi.org/10.1103/PhysRevC.22.553