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

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, and H. Zwahlen

Phys. Rev. C 74, 034322 – Published 15 September 2006

Abstract

The energy of the first excited state in the neutron-rich $N = 28$ nucleus ${}^{45}{Cl}$ has been established via in-beam γ-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 $π + ρ$ meson exchange potentials. A composite model for the proton $0 d_{3 / 2} - 1 s_{1 / 2}$ single-particle energy shift is presented.

Received 23 January 2006

DOI:https://doi.org/10.1103/PhysRevC.74.034322

Authors & Affiliations

A. Gade^1,2, B. A. Brown^1,2, D. Bazin¹, C. M. Campbell^1,2, J. A. Church^1,2, D. C. Dinca^1,2, J. Enders³, T. Glasmacher^1,2, M. Horoi⁴, Z. Hu¹, K. W. Kemper⁵, W. F. Mueller¹, T. Otsuka^6,7, L. A. Riley⁸, B. T. Roeder⁵, T. Suzuki⁹, J. R. Terry^1,2, K. L. Yurkewicz^1,2, and H. Zwahlen^1,2

¹National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
²Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
³Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
⁴Department of Physics, Central Michigan University, Mount Pleasant, Michigan 48859, USA
⁵Department of Physics, Florida State University, Tallahassee, Florida 32306, USA
⁶Department of Physics and Center for Nuclear Study, University of Tokyo, Hongo, Tokyo 113-0033, Japan
⁷RIKEN, Hirosawa, Wako-shi, Saitama 351-0198, Japan
⁸Department of Physics and Astronomy, Ursinus College, Collegeville, Pennsylvania 19426, USA
⁹Department of Physics, Nihon University, Sakurajosui, Setagaya-ku, Tokyo 156-8550, Japan

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Vol. 74, Iss. 3 — September 2006

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Physical Review C

covering nuclear physics

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, and H. Zwahlen

Phys. Rev. C 74, 034322 – Published 15 September 2006

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Physical Review C

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Evolution of the E(1/21+)−E(3/21+) 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, and H. Zwahlen

Phys. Rev. C 74, 034322 – Published 15 September 2006

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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 $N = 20 − 28$