Self-consistent description of the ternary cold fission: tri-rotor mode

Abstract

We give a quantum description of the ternary cold fission process within a stationary scattering formalism. The dynamics of the light particle and heavy fragments is described by a self-consistent system of equations for radial wavefunctions. We consider the spontaneous cold ternary fission of 252Cf accompanied by 4He and 10Be. The light cluster decays from some resonant eigenstate in the Coulomb plus nuclear potential. It turns out that for the angular momentum projection K = 0 the light cluster emission is concentrated in the polar direction. By increasing K the maximum of the angular distribution moves towards the equator, as measured in the experiment. For 4He we predict short living decaying states. Due to a large repulsive core, proportional to K2, such states are hindered in the case of 10Be. The motion of the two heavy fragments with −K compensates the rotation of the light fragment. We call this collective motion tri-rotor mode and it should be detected in the fragment yields by magnetic transitions.

The emission probabilities of long range alpha particles from even–even244–252Cm isotopes

“…In the cold valley, the minima is found for the fragment combinations with mass number A 1 = 4 He, 10 Be, 14 C, 16 C, 20 O, 22 O, 24 O, 26 Ne, 30 Mg, 32 Mg, 34 Si, 36 Si, 40 S, 42 S, 44 Ar, 46 Ar, 48 Ar, 50 Ca, 52 figure 4. The hatched bars belong to odd mass numbers and the dark ones belong to even mass numbers.…”

“…The minima obtained in the cold valley for the fragment combinations with mass number A 1 = 4 He, 10 Be, 14 C, 16 C, 18 C, 20 …”

“…In the cold valley the minima is found for the fragment combination with A 1 = 4 He, 6 He, 10 Be, 12 Be, 14 C, 16 C, 18 C, 20 In figure 3, the relative yield is plotted for all the considered isotopes of curium as a function of mass numbers A 1 and A 2 . The most probable fragment combinations occur with the alpha accompanied ternary fission is labeled.…”

“…Florescu et al [17] estimated the preformation amplitudes for 4 He and 10 Be clusters in the cold ternary fragmentation of 252 Cf using a microscopic model starting from single particle spherical Woods-Saxon wave functions and with a large space BCS-type configuration mixing.…”

“…The deformation and orientation effects were also discussed with the 4 He and 10 Be accompanied ternary fission of 252 Cf. Shagun et al [30] studied the fragmentation potential for alpha accompanied ternary fission of superheavy nuclei with Z = 114, 116, 118 and 120.…”