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Main Authors: Riley, L. A., Conroy, I., Himmelreich, A. M., Heinze, M., Kosa, J., McNulty, B., Cottle, P. D., Spieker, M., Volya, A., Conley, A. L., Houlihan, D., Kelly, B., Kemper, K. W., Ali, Sk M., Beck, T., Gillespie, S. A., Hausmann, M., Noji, S., Pereira, J., Weisshaar, D., Chung-Jung, J., Farris, P., Gade, A., Grauvogel, G., Hill, A. M., Rahman, Z., Zegers, R. G. T., Longfellow, B., Pathirana, N. D.
Format: Preprint
Published: 2025
Subjects:
Nuclear Experiment
Online Access:https://arxiv.org/abs/2508.00703
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Table of Contents:
  • We have measured the $0_{g.s.}^+ \rightarrow 2_1^+$ 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 $0_{g.s.}^+ \rightarrow 2_1^+$ transition. In addition, we have measured the $0_{\mathrm{g.s.}}^+ \rightarrow 2_1^+$ 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 $0_{g.s.}^+ \rightarrow 2_1^+$ 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.

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