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Universal Effective Charges in the 𝑠⁒𝑑 and 𝑓⁑𝑝 Shells

Publication Type
Journal
Journal Name
Physical Review Letters
Publication Date
Page Number
072501
Volume
135

The 247-keV state in 54Sc, populated in the 𝛽 decay of 54Ca, is reported here as a nanosecond isomer with a half-life of 26.0(22) ns. The state is interpreted as the 1+ member of the πœ‹β’π‘“7/2βŠ—πœˆβ’π‘“5/2 spin-coupled multiplet, which decays to the 3+,πœ‹β’π‘“7/2βŠ—πœˆβ’π‘1/2 ground state. The new half-life corresponds to a pure 𝐸⁒2 transition with a strength of 1.93(16) W.u., providing the most precise, unambiguous 𝐡⁑(𝐸⁒2) value in the neutron-rich 𝑓⁑𝑝 region to date for a nucleus with valence protons above 𝑍 =20. Notably, it is roughly 4 times larger than the 𝐡⁑(𝐸⁒2;1/2βˆ’β†’5/2βˆ’) value in 55Ca. The results, as compared to emiempirical and ab initio shell-model calculations, indicate (1) a weak 𝑁 =34 subshell gap relative to 𝑁 =32, (2) a large 𝐸⁒2 enhancement in Sc as compared to Ca due to 1⁒𝑝 βˆ’1β’β„Ž proton excitations across 𝑍 =28, and (3) empirical effective proton and neutron charges π‘’πœ‹=1.30⁒(8)⁒𝑒 and π‘’πœˆ=0.452⁒(7)⁒𝑒, respectively, that are in contrast to reports of π‘’πœ‹ β‰ˆ1.1–1.15⁒𝑒 and π‘’πœˆβ‰ˆ0.6–0.8⁒𝑒 for 𝑓⁑𝑝-shell nuclei near 𝑁 =𝑍. We demonstrate that these reports are erroneous and that, in fact, a universal set of effective charges can be used across the 𝑠⁒𝑑 and 𝑓⁑𝑝 shells.