Shell Model Study of the Neutron-Rich Nuclei around N=28

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We describe the properties of the neutron rich nuclei around N=28 in the shell mode framework. The valence space comprises the $sd$ shell for protons an the $pf$ shell for neutrons without any restriction. Good agreement is found with the available experimental data. The N=28 shell closure, even if eroded due to the large neutron excess, persists. The calculations predict that $^{40}$S and $^{42}$S are deformed with $β=0.29 $ and $β=0.32$ respectively.
17 pages and 19 figures, LateX, RevTeX

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