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Evolution of the $E(1/2^+_1)-E(3/2^+_1)$ energy spacing in odd-mass K, Cl and P isotopes for $N=20-28$

A. Gade·B. A. Brown·D. Bazin·C. M. Campbell·J. A. Church·D. -C. Dinca·J. Enders·T. Glasmacher·M. Horoi·Z. Hu·K. W. Kemper·W. F. Mueller·T. Otsuka·L. A. Riley·B. T. Roeder·T. Suzuki·J. R. Terry·K. L. Yurkewicz·H. Zwahlen
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Abstract

The energy of the first excited state in the neutron-rich N=28 nucleus 45Cl has been established via in-beam gamma-ray spectroscopy following proton removal. This energy value completes the systematics of the E(1/2^+_1)-E(3/2^+_1) level spacing in odd-mass K, Cl and P isotopes for N=20-28. The results are discussed in the framework of shell-model calculations in the sd-fp model space. The contribution of the central, spin-orbit and tensor components is discussed from a calculation based on a proton single-hole spectrum from G-matrix and pi + rho meson exchange potentials. A composite model for the proton 0d_{3/2}-1s_{1/2} single-particle energy shift is presented.

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A. Gade, B. A. Brown, D. Bazin, C. M. Campbell, J. A. Church, D. -C. Dinca, J. Enders, T. Glasmacher, M. Horoi, Z. Hu, K. W. Kemper, W. F. Mueller, T. Otsuka, L. A. Riley, B. T. Roeder, T. Suzuki, J. R. Terry, K. L. Yurkewicz, H. Zwahlen. 2006-08-08. Evolution of the $E(1/2^+_1)-E(3/2^+_1)$ energy spacing in odd-mass K, Cl and P isotopes for $N=20-28$. https://doi.org/10.1103/physrevc.74.034322

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