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Structure of \(^{48,49,50}\)Ca in a phenomenological shell model

  • Regular Article - Theoretical Physics
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Abstract

We discuss a phenomenological shell model analysis of the structure of \(^{48,49,50}\)Ca. Based on simple arguments, we propose wavefunctions fit to the available data on spectroscopic factors derived from direct one neutron addition and removal reactions. These empirical wavefunctions are then used to calculate properties of low-lying states in \(^{49,50,51}\)Ca, which are consistent with available experimental data. Our analysis appears to capture the main ingredients at play in the low-lying properties of these nuclei and emphasize the prominent role of pairing correlations. We also present predictions that could motivate further work.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All the results are shown in the figures or explicitly given in the text and can be reproduced from the relevant equations. Experimental data used in our analysis are available from the references.]

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Acknowledgements

This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Contract No. DE-AC02-05CH11231. We would like to thank Prof. Alfredo Poves for many discussions on the structure of the Ca isotopes.

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Author notes

  1. A. O. Macchiavelli

    Present address: Physics Division, Oak Ridge National Laboratory, 1 Bethel Valley Rd, Oak Ridge, TN, 37831, USA

Authors and Affiliations

  1. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA

    A. O. Macchiavelli, H. L. Crawford, R. M. Clark, P. Fallon, I. Y. Lee, C. M. Campbell, M. Cromaz, A. Frotscher, C. Porzio & E. Rice

  2. Department of Physics and Astronomy, Ohio University, Athens, OH, 45701, USA

    E. Rice

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  1. A. O. Macchiavelli
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  2. H. L. Crawford
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  4. P. Fallon
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Correspondence to A. O. Macchiavelli.

Additional information

Communicated by K. Sieja.

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Macchiavelli, A.O., Crawford, H.L., Clark, R.M. et al. Structure of \(^{48,49,50}\)Ca in a phenomenological shell model. Eur. Phys. J. A 58, 144 (2022). https://doi.org/10.1140/epja/s10050-022-00763-1

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