Empirical pairing gaps and neutron-proton correlations

B. S. Ishkhanov;S. V. Sidorov;T. Yu. Tretyakova;E. V. Vladimirova

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Empirical pairing gaps and neutron-proton correlations

B. S. Ishkhanov;S. V. Sidorov;T. Yu. Tretyakova;E. V. Vladimirova

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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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B. S. Ishkhanov;S. V. Sidorov;T. Yu. Tretyakova;E. V. Vladimirova. Empirical pairing gaps and neutron-proton correlations[J]. Chinese Physics C.

B. S. Ishkhanov;S. V. Sidorov;T. Yu. Tretyakova;E. V. Vladimirova. Empirical pairing gaps and neutron-proton correlations[J]. Chinese Physics C. shu

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Received: 2018-07-18
Revised: 2018-10-08

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沈阳化工大学材料科学与工程学院沈阳 110142

Empirical pairing gaps and neutron-proton correlations

B. S. Ishkhanov;S. V. Sidorov;T. Yu. Tretyakova;E. V. Vladimirova

Received Date: 2018-07-18
Accepted Date: 2018-10-08

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.