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Fragmentation analysis of various compound nuclei formed in the mass region 200 and the associated entrance channel effects

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Abstract

The dynamical cluster-decay model (DCM) is employed to analyse the decay of various compound nuclei (CNs) having mass A\(_{\textrm{CN}}\approx \) 200 such as \(^{194}\)Hg\(^*\), \(^{197}\)Tl\(^*\), \(^{202}\)Pb\(^*\) and \(^{210}\)Rn\(^*\), formed in \(^{16}\)O-induced reactions, at common excitation energy \(E_{\textrm{CN}}^*\sim \) 45 MeV. Calculations are made for three decay fragment configurations, i.e., spherical, \(\beta _2\)-deformed ‘hot-compact’ and \(\beta _2\)-deformed ‘cold-elongated’ to study the effect of deformation and orientation in the decay dynamics. The structure of fragmentation potential and preformation probability of the chosen nuclei get the significantly modified after the inclusion of deformation and orientation effects, besides showing a dependence on the mass of CN. Further, an investigation is carried out to see the effect of entrance channel properties on the decay dynamics. For this, three reactions, such as \(^{12}\)C \( + ^{182}\)W, \(^{16}\)O \(+ ^{178}\)Hf and \(^{40}\)Ar \(+ ^{154}\)Sm are considered which form the \(^{194}\)Hg\(^*\) CN at common \(E_{\textrm{CN}}^*\sim \) 57 MeV. The barrier characteristics, fragmentation structure, preformation probability, barrier penetrability, evaporation residue and fission cross-sections are calculated to analyse the role of the entrance channel in the subsequent decay dynamics. The calculated neutron evaporation residue and fission cross-sections agree well with the experimental data. The most probable fission fragments are identified for the compound nuclei, and the corresponding experimental validation is called for. Moreover, Bohr’s independent hypothesis is tested in view of the survival probability (\(P_{\textrm{surv}}\)) of the chosen reactions.

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Acknowledgements

All the authors are highly thankful to late Prof. Raj K Gupta for his keen interest and involvement in developing the DCM methodology. Research Grant No. INT/RUS/RFBR/387 from DST(IN) and a student research fellowship from the MHRD, Government of India, are acknowledged by MM and GS, respectively. MKS is thankful to the Department of Science and Technology, New Delhi, India, for the research project (File No. CRG/2021/001144). AK acknowledges the financial support from the QuantiXLie Centre of Excellence, a project co-financed by the Croatian Government and European Union through the European Regional Development Fund, the Competitiveness and Cohesion Operational Programme (KK.01.1.1.01.0004).

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology Roorkee, Roorkee,  247 667, India

    Gayatri Sarkar & Moumita Maiti

  2. Department of Physics, Faculty of Science, University of Zagreb, Bijenička c. 32, 10000,  Zagreb, Croatia

    Amandeep Kaur

  3. School of Physics and Materials Science, Thapar Institute of Engineering and Technology, Patiala,  147 004, India

    Manoj K Sharma

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  1. Gayatri Sarkar
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  2. Amandeep Kaur
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  4. Manoj K Sharma
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Correspondence to Moumita Maiti.

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Sarkar, G., Kaur, A., Maiti, M. et al. Fragmentation analysis of various compound nuclei formed in the mass region 200 and the associated entrance channel effects. Pramana - J Phys 97, 74 (2023). https://doi.org/10.1007/s12043-023-02540-1

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  • DOI: https://doi.org/10.1007/s12043-023-02540-1

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