Collective Description of Exotic Cluster Decays and Shell Structure Effects of Parent/Daughter Nuclei

The following sections are included:

• Introduction

• Preformed cluster model (PCM) using the collective model basis

• Application of PCM of Malik and Gupta to experimental data

• Shell structure effects

  • Spherical shell effects of daughter nuclei

    • Z=N=50 daughter magicity- ¹⁰⁰Sn radioactivity

    • Z=50, N=82 daughter magicity- ¹³²Sn radioactivity

    • Z=50, N beyond 82 daughter magicity- possibly new ¹⁴⁶Sn radioactivity

  • Deformed shell effects of daughter nuclei- The decay modes of H_g nuclei, deformed daughter radioactivity

  • Deformed shell effects of parent nuclei- Mass region A=68-82

    • Stability of parent nuclei against cluster decays

    • Instability to cluster decay of parents at neutron/proton drip lines

• Structure of ²²⁴Ra in terms of ¹⁴C +²¹⁰ Pb clustering

• Summary and outlook

• References