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Description
In [1-3] the virtual mechanism of ternary fission of the compound nucleus $(A, Z)$, formed by the capture of the thermal neutron by target-nucleus $(A-1, Z)$ as the two-stage process was suggested. At the first stage light particle $(A-A_{LP},Z-Z_{LP})$ with kinetic energy close to the Coulomb barrier height is emitted from the nucleus $(A, Z)$ with the forming of the virtual state of the intermediate nucleus having internal energy lower than its ground state energy and undergoing binary fission at the second stage. The yield $N_{LP}$ of the light particle and the energy distribution $W(T_{LP})$ related to one act of the binary fission are defined as [1-3]
$W(T_{LP})=\frac{1}{2\pi}
\frac{(\Gamma_{LP}^{A}(T_{LP}))^{(0)}}
{(Q_{LP}+B_n-T_{LP})^2}
=\omega_{LP}\frac{\hbar c \sqrt{2 T_{LP}}}
{2 R_{neck}\sqrt{\mu c^2}} P(T_{LP}), N_{LP}=\int{W(T_{LP})dT_{LP}}=\frac{\Gamma_{LP f}}{\Gamma_f}$,
where $\Gamma_{LP f}$ and $\Gamma_f$ are the widths of the ternary and binary fission of compound nucleus $(A, Z)$, correspondingly, $\Gamma_{LP}^{A}(T_{LP}))^{(0)}$ is the width of the virtual decay of the nucleus $(A, Z)$ with light particle emission from the deformed transition fission state corresponding to the configuration (0) of these nuclei with the neck radius $R_{neck}$ between two fission prefragments, $Q_{LP}$ is the heat of the decay of the nucleus $(A, Z)$ with light particle emission, $B_n$ is neutron binding energy in $(A, Z)$, $P(T_{LP})$ is light particle penetrability factor of the Coulomb barrier formed by the sum of the non-spherical nuclear and Coulomb potentials of the light particle interaction with nucleus $(A-A_{LP},Z-Z_{LP})$ , $\omega_{LP}$ is the probability of light particle formation in the neck of the nucleus $(A, Z)$, $\mu$ is the reduced mass of light particle and nucleus $(A-A_{LP},Z-Z_{LP})$ . Using the experimental energy distributions $W(T_{LP})$ [4 - 6], the estimations of the $R_{neck}$ [7] and taking into account that penetrability factor $P(T_{LP})\approx 1$ at the maximal energies of the emitted light particles $(T_{LP})_{max}$ the estimations of the probability $\omega_{LP}$ of the light particle formation were obtained for the target-nuclei $^{233}U$, $^{235}U$, $^{249}Cf$, $^{251}Cf$, in fission induced by thermal neutrons.
- S.G. Kadmensky et al. PEPAN 63, 620 (2022)
- S.G. Kadmensky, L.V. Titova, D.E. Lyubashevsky Phys. At. Nucl. 83, 326 (2020)
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- S.G. Kadmensky, D.E. Lyubashevsky, P.V. Kostryukov, A.A. Pisklyukov PEPAN 21, 1114 (2024)
