Probing mean field of neutron rich nuclei by cold fission

We propose the cold (neutronless) fission process as a tool for probing mean field properties of exotic neutron rich nuclei. The fissioning state is described as a resonance in the potential well between the emitted fragments. Coupled channels analysis shows that the double fine structure of the binary cold fission is very sensitive to the density distribution. In this way cold fission can be used to investigate the density profile of neutron rich fragments.

Figure 1

The radial wave function components $f_l\left(R\right)$ for neutron density parameters in Eq. (3) $a_n=0.50\text{fm},w_n=0$ (a), $a_n=0.53\text{fm},w_n=0$ (b), and $w_n=0.01\text{fm},a_n=0.5\text{fm}$ (c). The basis states are given in Table . The fission process is ${}^{252}\mathrm{Cf}\to {}^{104}\mathrm{Mo}+{}^{148}\mathrm{Ba}$.

Figure 2

(a) The yields∕fragment $y_I^{\left(k\right)}$ defined by Eq. (14) vs the neutron diffusivity parameter $a_n\equiv a_n^{\left(k\right)}$. The radial parameters are $w_p^{\left(k\right)}=w_n^{\left(k\right)}=0$. By solid lines are given the yields of the ${}^{106}\mathrm{Mo}(k=1)$ and by dashes those of ${}^{146}\mathrm{Ba}(k=2)$. (b) The relative hexadecapole yields ${\gamma }_4^{\left(k\right)}$ defined by Eq. (16) vs the diffusivity parameter $a_n$. The radial parameters are $w_p^{\left(k\right)}=w_n^{\left(k\right)}=0$. The solid line corresponds to ${}^{106}\mathrm{Mo}(k=1)$ and dashed line to ${}^{146}\mathrm{Ba}(k=2)$. (c) The same as in (a) vs the radial parameter $w_n\equiv w_n^{\left(k\right)}$ for $a_n=0.5\text{fm}.$ (d) The same as in (b) vs the radial parameter $w_n$ for $a_n=0.5\text{fm}$.