Inverse-kinematics proton scattering from ${}^{42,44}$S, ${}^{41,43}$P and the collapse of the $N=28$ major shell closure

Abstract

Excited states of the neutron-rich isotopes ${}^{42,44}$S and ${}^{41,43}$P have been studied via inverse-kinematics proton scattering from a liquid hydrogen target, using the GRETINA $\gamma$-ray tracking array to extract inelastic scattering cross sections. Deformation lengths of the $2_1^{+}$ excitations in ${}^{42,44}$S have been determined and, when combined with deformation lengths determined with electromagnetic probes, yield the ratio of neutron-to-proton matrix elements $M_n/M_p$ for the $2_1^{+}$ excitations in these nuclei. The present results for ${}^{41,43}$P$(p,p^{\prime })$ are used to compare two shell model interactions, SDPF-U and SDPF-MU. As in a recent study of ${}^{42}$Si, the present results on ${}^{41,43}$P favor the SDPF-MU interaction.

arXiv comment11 pages, 14 figures

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• Hexadecapole strength in the rare isotopes ${}^{74,76}$Kr
• Investigation of octupole collectivity near the $A=72$ shape-transitional point
• Structure of ${}^{43}$P and ${}^{42}$Si in a two-level shape-coexistence model
• Determination of proton and neutron contributions to the $0_{g.s.}^{+}\to 2_1^{+}$ excitations in ${}^{42}$Si and ${}^{44}$S using inelastic proton scattering in inverse kinematics and intermediate energy Coulomb excitation
• Proton removal from ${}^{73,75}$Br to ${}^{72,74}$Se at intermediate energies