Abstract
The possibility of heavy particle radioactivity (heavier clusters) in ground state decays of 287−289 115 parent nuclei, resulting in a doubly magic daughter around 208 Pb is analyzed using Preformed Cluster Model (PCM) with choices of spherical and quadrupole deformation ( β 2 ) having “optimum” orientations of decay products. The behavior of fragmentation potential and preformation probability is investigated in order to extract better picture of the dynamics involved. Interestingly, the potential energy surfaces obtained via the fragmentation process get modified significantly with the inclusion of deformation and orientation effects, which in turn influence the preformation factor.
Highlights
The radioactive decay of nuclei emitting particles heavier than alpha-particle, predicted in 1980 [1], was con¿rmed in 1984 [2] via the 14C decay from 223Ra nucleus
As a follow up of this work, we have studied in this paper the ground state decays of 289115, 288115, and 287115 SHE systems using the Preformed Cluster Model (PCM) [6, 7]
The PCM ¿nds its basis in the well known Quantum Mechanical Fragmentation Theory (QMFT) where the cluster is assumed to be preformed in the mother nucleus and the preformation probability for all possible clusters are calculated by solving the Schrödinger equation for the dynamic Àow of mass and charge
Summary
The radioactive decay of nuclei emitting particles heavier than alpha-particle, predicted in 1980 [1], was con¿rmed in 1984 [2] via the 14C decay from 223Ra nucleus. In view of the excellent agreement [9, 10] of PCM with the available [11, 12] experimental data on cluster decays of heavy parent nuclei with Z=87 to 96, here in this work, half lives of isotopes of SHE element Z=115 have been predicted and compared with the existing [4, 5] theoretical results to test the extent of validity of this formalism. Together with shell effects, nuclear deformations and orientations play an important role in the cluster decay process. The paper is organized as follows: Sections 2 and 3 give, respectively, the details of the Preformed Cluster Model and our calculations for ground state decays of the chosen parent nuclei. P0 is the cluster preformation probability and P is the barrier penetrability which refer, respectively, to the η and R-motions, both depending on multipole deformations βλi and orientations θi (i=1,2) of the daughter and cluster nuclei. For further details of surface energy coefficient and nuclear charge radius, etc., see Ref. [17]
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