Speaker
Description
In [1,2], a virtual mechanism of ternary fission of the nucleus (A, Z) was proposed, which is considered as a two-stage process, when at the first stage an α-particle with kinetic energy $T_{\alpha}$ close to the height of its Coulomb barrier emits from the specified nucleus, with the formation of a virtual state of the intermediate nucleus (A – 4, Z – 2), which at the second stage is involved in binary fission. Part of the energy of the emitted long-ranged α-particle is taken by reducing the heat of fission of the intermediate nucleus (A – 4, Z – 2) by ($T_{\alpha}-Q_{\alpha}$ ), where $Q_{\alpha}$ is the heat of the true α-decay of the nucleus (A, Z). The energy distribution $W_{\alpha f}$ and yield $N_{\alpha}$ of the α-particles, taking into account the proximity of the fission widths of the nuclei (A, Z) and (A – 4, Z – 2) from the configuration (0) of these nuclei with a neck of radius $R_{neck}$ between two fission prefragments, are defined as
$$ W_{\alpha f}= \frac{1}{2\pi} \frac{(\Gamma_{\alpha}^A)^0}{(Q_{\alpha}^A-T_{\alpha})^2}=\omega_{\alpha} \frac{\hbar c \sqrt {2 T_{\alpha}} }{2R_{neck}\sqrt{\mu c^2}}P(T_{\alpha}); N_{\alpha}=\int W_{\alpha f}(T_{\alpha})dT_{\alpha},$$
where $(\Gamma_{\alpha}^A)^0$ is the width of the decay of the parent nucleus from the configuration (0), $P(T_{\alpha})$ is the permeability factor of the Coulomb barrier formed by the sum of the nuclear $V_n(r,\theta)$ and Coulomb $V_C(r,\theta)$ interaction potentials of α-particle and deformed fission fragments , $\omega_{\alpha}$ is the probability of α-particle formation in the parent nucleus, $\mu$ is the reduced mass of ternary fission products. Calculating the permeability factor $P(T_{\alpha})$ of the Coulomb barrier by an α-particle as $P(T_{\alpha})=exp(- \frac {2}{\hbar c }\int_{R_A}^{R} \sqrt {2\mu c^2(V_n(r, \theta)+V_C(r,\theta))-T_{\alpha})} d{r}$, when using the deformed Coulomb potential, Saxon-Woods potential and proximity potential [4] for the nuclear potential, the energy distributions and yields of α-particles for $^{248}Cm$, $^{250}Cf$ and $^{252}Cf$ nuclei are obtained, which are consistent with the experimental energy distributions and yields of α-particles for these nuclei [5 – 6] .
- S.G. Kadmensky et al. PEPAN 63, 620 (2022)
- S.G. Kadmensky, L.V. Titova, D.E. Lyubashevsky Phys. At. Nucl. 83, 326 (2020)
- L.V. Titova, Bulletin MSU. Ser. 3: Physics. Astronomy. № 5, 64 (2021)
- J. Blocki, J. Randrup, W.J. Swiatecki, C.F. Tsang, Ann. Phys. (N.Y.) 105, 427 (1977)
- S.Vermote et al., Nucl. Phys. A806, 1 (2008)
- O.Serot, N.Carjan, C.Wagemans, Eur. Phys. J. A. 8, 187 (2000)
| The speaker is a student or young scientist | No |
|---|---|
| Section | 2. Experimental and theoretical studies of nuclear reactions |
