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 litera...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 = 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.展开更多
In our article we wrote the three-point mass relation based on deutron separation energies in the formΔnp^(3)(N,Z)=(-1)N+1/2(Sd(N+1,Z+1)-Sd(N,Z))=(-1)^N+1/2(B(N+1,Z+1)--2B(N,Z)+B(N-1;Z-1)),(1)which holds true for the...In our article we wrote the three-point mass relation based on deutron separation energies in the formΔnp^(3)(N,Z)=(-1)N+1/2(Sd(N+1,Z+1)-Sd(N,Z))=(-1)^N+1/2(B(N+1,Z+1)--2B(N,Z)+B(N-1;Z-1)),(1)which holds true for the case of even-A nuclei.Factor(-1)^N+1 is taken into account to reproduce the even-odd staggering(EOS)effect for even-even and odd-odd nuclei.For the case of odd-A nuclei,on the other hand,the value ofΔnp^(3)(N,Z)was shown to oscillate near the zero value(which corresponds to EOS for odd-even and evenodd nuclei),and taking the corresponding factor into account makes no sense.展开更多
基金Supported by Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
文摘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 = 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.
文摘In our article we wrote the three-point mass relation based on deutron separation energies in the formΔnp^(3)(N,Z)=(-1)N+1/2(Sd(N+1,Z+1)-Sd(N,Z))=(-1)^N+1/2(B(N+1,Z+1)--2B(N,Z)+B(N-1;Z-1)),(1)which holds true for the case of even-A nuclei.Factor(-1)^N+1 is taken into account to reproduce the even-odd staggering(EOS)effect for even-even and odd-odd nuclei.For the case of odd-A nuclei,on the other hand,the value ofΔnp^(3)(N,Z)was shown to oscillate near the zero value(which corresponds to EOS for odd-even and evenodd nuclei),and taking the corresponding factor into account makes no sense.
