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Shell model study of the neutron-rich nuclei around<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>28</mml:mn><mml:mn/></mml:math>

J. RetamosaCRN IN2P3-CNRS/Université Louis Pasteur, Boı̂te Postale 28, F-67037 Strasbourg-Cedex, FranceE. CaurierCRN IN2P3-CNRS/Université Louis Pasteur, Boı̂te Postale 28, F-67037 Strasbourg-Cedex, FranceF. NowackiGANIL IN2P3-CNRS, Boı̂te Postale 5027, F-14021 Caen-Cedex, FranceA. PovesDepartamento de Física Teórica C-XI, Universidad Autónoma de Madrid, E-28049 Madrid, Spain
1997lv
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We describe the properties of the neutron-rich nuclei around $N=28$ in the shell mode framework. The valence space includes the $\mathrm{sd}$ shell for protons and the $\mathrm{pf}$ shell for neutrons without any restriction. Good agreement is found with the available experimental data. The $N=28$ shell closure persists, even if eroded by the large neutron excess. The calculations predict that ${}^{40}$S and ${}^{42}$S are deformed with $\ensuremath{\beta}=0.29$ and $\ensuremath{\beta}=0.32$ respectively.

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