# Empirical pairing gaps and neutron-proton correlations

• Analysis of various mass formulas related to neutron-proton correlations in atomic nuclei is carried out. Using the example of the $N = Z$ chain it is shown that for self-adjoint nuclei various formulas proposed in literature for estimating the $np$ pairing energy lead to similar results. Significant differences between the calculation methods arise when  nuclei with $N \ne Z$ are considered, which allows to reveal the complexity of neutron-proton correlations in different types of atomic nuclei and to make assumptions on the correspondence of the mass relation to the real effect of $np$ pairing. The Shell Model parametrization of the binding energy makes it possible to draw additional conclusions on the structure of mass formulas and their relationship.

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B. S. Ishkhanov, S. V. Sidorov, T. Yu. Tretyakova and E. V. Vladimirova. Empirical pairing gaps and neutron-proton correlations[J]. Chinese Physics C.
B. S. Ishkhanov, S. V. Sidorov, T. Yu. Tretyakova and E. V. Vladimirova. Empirical pairing gaps and neutron-proton correlations[J]. Chinese Physics C.
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Revised: 2018-10-08
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###### 通讯作者: 陈斌, bchen63@163.com
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Empirical pairing gaps and neutron-proton correlations

Abstract: Analysis of various mass formulas related to neutron-proton correlations in atomic nuclei is carried out. Using the example of the $N = Z$ chain it is shown that for self-adjoint nuclei various formulas proposed in literature for estimating the $np$ pairing energy lead to similar results. Significant differences between the calculation methods arise when  nuclei with $N \ne Z$ are considered, which allows to reveal the complexity of neutron-proton correlations in different types of atomic nuclei and to make assumptions on the correspondence of the mass relation to the real effect of $np$ pairing. The Shell Model parametrization of the binding energy makes it possible to draw additional conclusions on the structure of mass formulas and their relationship.

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