In this study,two novel improvements for the theoretical calculation of neutron distributions are presented.First,the available experimental proton distributions are used as a constraint rather than inferred from the ...In this study,two novel improvements for the theoretical calculation of neutron distributions are presented.First,the available experimental proton distributions are used as a constraint rather than inferred from the calculation.Second,the recently proposed distribution formula,d3pF,is used for the neutron density,which is more detailed than the usual shapes,for the first time in a nuclear structure calculation.A semi-microscopic approach for binding energy calculation is considered in this study.However,the proposed improvements can be introduced to any other approach.The ground state binding energy and neutron density distribution of 208Pb nucleus are calculated by optimizing the binding energy considering three different distribution formulae.The implementation of the proposed improvements leads to qualitative and quantitative improvements in the calculation of the binding energy and neutron density distribution.The calculated binding energy agrees with the experimental value,and the calculated neutron density exhibits fluctuations within the nuclear interior,which corresponds with the predictions of self-consistent approaches.展开更多
The experimental charge densities of atomic nuclei show fluctuations in their distributions. This paper investigates the limits of accuracy of two-parameter Fermi and three-parameter Fermi distributions in describing ...The experimental charge densities of atomic nuclei show fluctuations in their distributions. This paper investigates the limits of accuracy of two-parameter Fermi and three-parameter Fermi distributions in describing the charge density. An improved analytical function for density distribution is proposed, which allows for density fluctuation. The experimental charge densities of 40Ca, 60Ni, 100Mo, 152Sm and 208Pb, representing the various shapes of density fluctuation, are used to assess the accuracy of the proposed formula. The proposed function reproduces the experimental charge densities with significant improvement in accuracy over other commonly used formulae. A compilation of charge density distribution parameters of 73 nuclei is presented based on the proposed formula.展开更多
文摘In this study,two novel improvements for the theoretical calculation of neutron distributions are presented.First,the available experimental proton distributions are used as a constraint rather than inferred from the calculation.Second,the recently proposed distribution formula,d3pF,is used for the neutron density,which is more detailed than the usual shapes,for the first time in a nuclear structure calculation.A semi-microscopic approach for binding energy calculation is considered in this study.However,the proposed improvements can be introduced to any other approach.The ground state binding energy and neutron density distribution of 208Pb nucleus are calculated by optimizing the binding energy considering three different distribution formulae.The implementation of the proposed improvements leads to qualitative and quantitative improvements in the calculation of the binding energy and neutron density distribution.The calculated binding energy agrees with the experimental value,and the calculated neutron density exhibits fluctuations within the nuclear interior,which corresponds with the predictions of self-consistent approaches.
文摘The experimental charge densities of atomic nuclei show fluctuations in their distributions. This paper investigates the limits of accuracy of two-parameter Fermi and three-parameter Fermi distributions in describing the charge density. An improved analytical function for density distribution is proposed, which allows for density fluctuation. The experimental charge densities of 40Ca, 60Ni, 100Mo, 152Sm and 208Pb, representing the various shapes of density fluctuation, are used to assess the accuracy of the proposed formula. The proposed function reproduces the experimental charge densities with significant improvement in accuracy over other commonly used formulae. A compilation of charge density distribution parameters of 73 nuclei is presented based on the proposed formula.
