${}_{}{}^{34}{}_{}{}^{}\mathrm{S}$(p,n${)}^{34}$Cl reaction at 35 MeV and its microscopic distorted-wave Born approximation analysis: Stringent test of the shell model

Differential cross sections for the ${}_{}{}^{34}{}_{}{}^{}\mathrm{S}$(p,n${)}^{34}$Cl reaction were measured at $E_{\mathrm{p}=35\mathrm{}}$ MeV. Remarkable differences were observed among the angular distribution shapes for the known $1^{+}$ states in ${}_{}{}^{34}{}_{}{}^{}\mathrm{Cl}$ at 0.441, 0.666, 2.581, and 3.128 MeV. Distorted-wave Born approximation calculations using the recent full sd-shell wave functions of Brown and Wildenthal successfully reproduce such differences, whose origin was traced back to the different contributions of the ΔJ(ΔL,ΔS)=1(0,1) and 1(2,1) transition amplitudes. The $1^{+}$ transitions with dominant 1(0,1) amplitudes required a renormalization factor N of about 0.8, which agrees well with that obtained for the ${\beta }^{+}$ decay of ${}_{}{}^{34}{}_{}{}^{}\mathrm{Ar}$. The $1^{+}$ and $2^{+}$ transitions with dominant 1(2,1) and 2(2,1) amplitudes required N of about 0.5. Similar distorted-wave Born approximation calculations gave a good description of the ΔS=0 and ΔL=0 and 2 transitions without any renormalization.