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Shell Model Approaches: From N = Z Towards the Neutron Drip Line

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The Euroschool on Exotic Beams, Vol. VI

Part of the book series: Lecture Notes in Physics ((LNP,volume 1005))

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Abstract

The shell model with large-scale configuration mixing (SM-CI) is the theoretical tool of choice in nuclear spectroscopy. In this chapter, we introduce its basic concepts and discuss our present understanding of the model in terms of the competition between the spherical mean field and the nuclear correlations. A key aspect we shall treat is the choice of the valence spaces and effective interactions. We shall discuss as well the main collective modes of the nucleus—superfluidity, associated with the pairing interaction and vibrations and rotations originating in the multipole-multipole terms—using simple models. The emergence of permanent quadrupole deformation and rotational bands brings us to study Elliott’s model and some of its variants. These models make it possible to give a physically intuitive interpretation of the full-fledged SM-CI calculations. First, we examine the cases of shape coexistence in two paradigms of doubly magic nuclei,40Ca and56Ni. We then move into the neutron-rich regime, to study the mechanisms that lead to the appearance of islands of inversion (IoI) at N = 40 and N = 50 and its relationship with the phenomenon of shape coexistence in 68Ni and 78Ni.

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Acknowledgements

AP’s work is supported in part by the Ministerio de Ciencia, Innovación y Universidades (Spain), Grant CEX2020-001007-S funded by MCIN/AEI/10.13039/501100011033 and Grant PGC-2018-94583.

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Authors and Affiliations

  1. Departamento de Física Teórica and IFT UAM-CSIC, Universidad Autónoma de Madrid, Madrid, Spain

    Alfredo Poves

  2. Université de Strasbourg, CNRS, IPHC UMR 7178, Strasbourg, France

    Frédéric Nowacki

Authors
  1. Alfredo Poves
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  2. Frédéric Nowacki
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Corresponding author

Correspondence to Alfredo Poves .

Editor information

Editors and Affiliations

  1. Department of Physics and Astronomy, University of Padova and INFN, Padova, Italy

    Silvia M. Lenzi

  2. Instituto Gallego de Física de Altas Energías (IGFAE), University of Santiago de Compostela, Santiago de Compostela, Spain

    Dolores Cortina-Gil

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Poves, A., Nowacki, F. (2022). Shell Model Approaches: From N = Z Towards the Neutron Drip Line. In: Lenzi, S.M., Cortina-Gil, D. (eds) The Euroschool on Exotic Beams, Vol. VI. Lecture Notes in Physics, vol 1005. Springer, Cham. https://doi.org/10.1007/978-3-031-10751-1_1

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