Inverse-kinematics proton scattering on ${}^{50}$Ca: Determining effective charges using complementary probes

Abstract

We have performed measurements of the $0_{g.s.}^{+}\to 2_1^{+}$ excitations in the neutron-rich isotopes ${}^{48,50}$Ca via inelastic proton scattering on a liquid hydrogen target, using the GRETINA ${\hat{I}}^3$-ray tracking array. A comparison of the present results with those from previous measurements of the lifetimes of the $2_1^{+}$ states provides us the ratio of the neutron and proton matrix elements for the $0_{g.s.}^{+}\to 2_1^{+}$ transitions. These results allow the determination of the ratio of the proton and neutron effective charges to be used in shell model calculations of neutron-rich isotopes in the vicinity of ${}^{48}$Ca.

Phys. Rev. C, accepted