Investigations on Coulomb fission time scales and cross sections in inverse kinematics

Abstract

In inverse kinematics, we explored Coulomb fission cross-sections and time scales. Heavier projectiles such as ²³⁸U, ¹³²Xe, and ²⁰⁸Pb on lighter targets such as ¹⁶O ²⁶Mg, ²⁷Al, ³²S, ³⁵Cl, ${}^{40,48}$Ca, ⁴⁵Sc, ${}^{48,50}$Ti, ${}^{56,58}$Fe, ⁶⁴Ni, ⁸⁹Y, ³⁰Si and ⁶⁵Zn were looked into. The photofission cross-sections and the number of equivalent photons impinge on the target nuclei are important parameters in cross-section assessment. The anticipated cross-sections increases with increase in atomic number of target nuclei. We also explored the time scale of projectile nuclei at various transition levels. The estimated time scales accord well with the available experimental value, which is in the order of picoseconds. In addition, we predicted time scales of ¹⁶⁵Ho nuclei in the transition state from $19/2^{+}\to 15/2^{+}$ to $29/2^{+}\to 25/2^{+}$ for which experimental time scales are not available in literature. As a result, Coulomb fission is one of the causes that has severely hampered in the formation of compound nuclei. Prediction of time scales, in particular, would aid in understanding the structure of various energy levels.