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What can be learned from binding energy differences about nuclear structure: The example of δv pn

par Bender, Michaël ;Heenen, Paul-Henri
Référence Physical review. C. Nuclear physics, 83, 6, 064319
Publication Publié, 2011-06

Article révisé par les pairs

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Résumé :

We perform an analysis of a binding energy difference called δV pn(N,Z)-14[E(Z,N)-E(Z,N-2)-E(Z-2,N)+E(Z-2,N-2)] in the framework of a realistic nuclear model. It has been suggested that δV pn values provide a sensitive probe of nuclear structure, and it has been put forward as a primary motivation for the measurement of specific nuclear masses. Using the angular momentum and particle-number projected generator coordinate method and the Skyrme interaction SLy4, we analyze the contribution brought to δV pn by static deformation and dynamic fluctuations around the mean-field ground state. Our method gives a good overall description of δV pn throughout the chart of nuclei with the exception of the anomaly related to the Wigner energy along the N=Z line. The main conclusions of our analysis of δV pn, which are at variance with its standard interpretation, are that (i) the structures seen in the systematics of δV pn throughout the chart of nuclei can be easily explained combining a smooth background related to the symmetry energy and correlation energies due to deformation and collective fluctuations, (ii) the characteristic pattern of δV pn having a much larger size for nuclei that add only particles or only holes to a doubly magic nucleus than for nuclei that add particles for one nucleon species and holes for the other is a trivial consequence of the asymmetric definition of δV pn and not due to a the different structure of these nuclei, (iii) δV pn does not provide a very reliable indicator for structural changes, (iv)δV pn does not provide a reliable measure of the proton-neutron interaction in the nuclear energy density functional (EDF) or of that between the last filled orbits or of the one summed over all orbits, and (v) δV pn does not provide a conclusive benchmark for nuclear EDF methods that is superior or complementary to other mass filters such as two-nucleon separation energies or Q values. © 2011 American Physical Society.