USE OF QUANTUM MECHANICAL FRAGMENTATION APPROACH IN DECAY DYNAMICS OF 221FR NUCLEUS
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The ground state and excited state decay dynamics of 221Fr nucleus is studied using the quantum mechanical fragmentation theory (QMFT) based methodology. The decay paths of ground state 221Fr nucleus, i.e. α-decay, cluster emission and spontaneous fission (SF), are explored within the preformed cluster model (PCM). The relative contribution of these decay modes is investigated in terms of fragmentation potential and preformation probability P0. The calculations are made for the spherical as well as deformed choice of decaying fragments. Here, the deformation effects are included upto quadrupole (β2) shapes of nuclei with ‘hot-compact’ and ‘cold-elongated’ optimum orientations. The halflife times (T1/2) of α particle and 14C cluster are calculated using β2-deformed fragmentation, and find reasonable agreement with the experimental data. The spontaneous fission decay fragments are identified for 221Fr parent nucleus and corresponding decay half-life time is predicted. Further, the excited state decay of 221Fr compound nucleus formed in 19F+202Pt reaction is studied at excitation energy E*CN=10 MeV within the framework of the dynamical cluster-decay model (DCM). Note that DCM is an extended version of PCM, where temperature (T) and angular momentum (ℓ) are duly incorporated. The evaporation residue (ER) and fusion-fission (ff) cross-sections are calculated using hot-compact fragmentation approach. Finally, a relative study of spontaneous fission and induced fission is presented in terms of barrier characteristics and potential energy surfaces.
Abstract
The ground state and excited state decay dynamics of 221Fr nucleus is studied using the quantum mechanical fragmentation theory (QMFT) based methodology. The decay paths of ground state 221Fr nucleus, i.e. α-decay, cluster emission and spontaneous fission (SF), are explored within the preformed cluster model (PCM). The relative contribution of these decay modes is investigated in terms of fragmentation potential and preformation probability P0. The calculations are made for the spherical as well as deformed choice of decaying fragments. Here, the deformation effects are included upto quadrupole (β2) shapes of nuclei with ‘hot-compact’ and ‘cold-elongated’ optimum orientations. The halflife times (T1/2) of α particle and 14C cluster are calculated using β2-deformed fragmentation, and find reasonable agreement with the experimental data. The spontaneous fission decay fragments are identified for 221Fr parent nucleus and corresponding decay half-life time is predicted. Further, the excited state decay of 221Fr compound nucleus formed in 19F+202Pt reaction is studied at excitation energy E*CN=10 MeV within the framework of the dynamical cluster-decay model (DCM). Note that DCM is an extended version of PCM, where temperature (T) and angular momentum (ℓ) are duly incorporated. The evaporation residue (ER) and fusion-fission (ff) cross-sections are calculated using hot-compact fragmentation approach. Finally, a relative study of spontaneous fission and induced fission is presented in terms of barrier characteristics and potential energy surfaces.
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