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

Abstract

We have measured the $0_{g.s.}^{+}\to 2_1^{+}$ transition in the neutron rich $N=28$ isotope ${}^{42}$Si using the probes of intermediate energy Coulomb excitation and inelastic proton scattering in inverse kinematics at the Facility for Rare Isotope Beams with beam particle rates of $\approx 5$ particles/s. The results of these two measurements allowed us to determine $M_n/M_p$, the ratio of the neutron and proton transition matrix elements for the $0_{g.s.}^{+}\to 2_1^{+}$ transition. In addition, we have measured the $0_{g.s.}^{+}\to 2_1^{+}$ transition in the isotone ${}^{44}$S using inverse kinematics inelastic proton scattering. By comparing the ${}^{44}$S proton scattering result with a recent intermediate energy Coulomb excitation result on the same transition, we were able to determine $M_n/M_p$ for the $0_{g.s.}^{+}\to 2_1^{+}$ transition in this nucleus as well. This work strengthens the evidence that ${}^{42}$Si has a stable quadrupole deformation in its ground state and that ${}^{44}$S does not. Both conclusions are further supported by shell model calculations carried out with the FSU interaction.

32 pages, 12 figures

References in corpus (12)

• Collapse of the N=28 shell closure in ${}^{42}$Si
• Shell structure at N=28 near the dripline: spectroscopy of ${}^{42}$Si, ${}^{43}$P and ${}^{44}$S
• Global optical potential for nucleus-nucleus systems from 50 MeV/u to 400 MeV/u
• Nature of isomerism in exotic sulfur isotopes
• Evolution of the N=20 and 28 Shell Gaps and 2-particle-2-hole states in the FSU Interaction
• Is the structure of 42Si understood?
• Triaxial deformation and the loss of the N = 28 shell gap
• UCGretina GEANT4 Simulation of the GRETINA Gamma-Ray Energy Tracking Array
• Structure of ${}^{43}$P and ${}^{42}$Si in a two-level shape-coexistence model
• Triaxial-shape dynamics in the low-lying excited $0^{+}$ state: Role of the collective mass
• Weakening of $N=28$ shell gap and the nature of $0_2^{+}$ states
• Derivation of the M${}_n$/M${}_p$ ratio in exotic nuclei