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We address consequences of strong tensor terms in the local energy density functional, resulting from fits to the $ f_{5/2} - f_{7/2}$ splittings in $ ^{40}$Ca, $ ^{48}$Ca, and $ ^{56}$Ni. In this study, we focus on the tensor contribution to the nuclear binding energy. In particular, we show that it exhibits interesting topological features closely resembling that of the shell-correction. We demonstrate that in the extreme single-particle scenario at spherical shape, the tensor contribution shows tensorial magic numbers equal to $ N(Z)$=14, 32, 56, and 90, and that this structure is smeared out due to configuration mixing caused by pairing correlations and migration of proton/neutron sub-shells with neutron/proton shell filling. Based on a specific Skyrme-type functional SLy4$ _T$, we show that the proton tensorial magic numbers shift with increasing neutron excess to $ Z$=14, 28, and 50.

Shell-structure fingerprints of tensor interaction

M. Zalewski, W. Satua, J. Dobaczewski, P. Olbratowski, M. Rafalski, T. R. Werner, R. A. Wyss

Date: Received: April 13, 2009/ Revised version: April 13, 2009

Jacek Dobaczewski 2009-04-13