The difference between charge polarizations of fission fragments deduced by the static theoretical model and in the current data library

In this paper, we propose a theoretical method to deduce the charge polarization (CP) and most probable charge for fission fragments for the selected range of mass numbers based on a quantum many-body framework, namely, a constrained Skyrme Hartree�Fock+BCS model. We investigate the CP on the low energy neutron-induced fission of ²³⁵U as a representative reaction. We have found that the calculated CP has a noticeable dip that is clearly affected by the spherical shell structure around ¹³²Sn and deformed one around A=144 and a peak for their counterparts, which are common features to those of widely-used Wahl�s systematics, but otherwise, our CP values converge to zero. Especially, we could not see a deep valley and a big hump in the region of symmetric fission at A= 112 and 124 present in Wahl�s systematics. The gradient of our CP near the symmetric fission is negative concerning the mass number of fission fragments, which is consistent with other previous theoretical studies; however, that is the opposite of the gradient in Wahl�s systematics. This paper shows the difference between the charge distribution of fission fragments, which has been used practically so far, in comparison with the calculation by microscopic nuclear theory.