Population of rotational states in the ground-band of fission fragments

TL;DR

This paper models the population of rotational states in fission fragments using a time-dependent quantum approach, incorporating initial conditions from the bending model and analyzing specific fragment pairs.

Contribution

It introduces a quantum dynamical model for rotational state populations in fission fragments, integrating initial conditions from the bending model at scission.

Findings

Successful description of rotational state populations in fission fragments.

Application to Mo-Ba pair shows the model's effectiveness.

Provides insights into neutron emission effects on state populations.

Abstract

The population of rotational states in the ground-state band of neutron-rich fragments emitted in the spontaneous fission of $^{252}$Cf is described within a time-dependent quantum model similar to the one used for Coulomb excitation. The initial population probability of the states included in the selected basis is calculated according to the bending model at scission. Subsequently these initial amplitudes are feeding the coupled dynamical equations describing the population of rotational states in both fragments during the tunneling and post-barrier (pure Coulomb) motion. As application we consider the high yield Mo-Ba pair for different number of emitted neutrons.