Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism

Background: Isotopes of Z = 107-118 have been synthesized using cold fusion at GSI, Darmstadt, and hot fusion reactions at JINR, Dubna. Recently theoretical models have predicted Z = 120 with N = 184 as an island of stability in the superheavy valley. Hence it is crucial and exciting to predict theo...

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Main Authors: Rana, Shilpa, Kumar, Raj, Bhuyan, M.
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Published: Amer Physical Soc 2021
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Online Access:http://eprints.um.edu.my/27034/
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spelling my.um.eprints.270342022-04-14T02:20:48Z http://eprints.um.edu.my/27034/ Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism Rana, Shilpa Kumar, Raj Bhuyan, M. QC Physics Background: Isotopes of Z = 107-118 have been synthesized using cold fusion at GSI, Darmstadt, and hot fusion reactions at JINR, Dubna. Recently theoretical models have predicted Z = 120 with N = 184 as an island of stability in the superheavy valley. Hence it is crucial and exciting to predict theoretically the possible combination of projectiles and targets for the synthesis of Z = 120, which can be informative for upcoming experiments. Purpose: Present theoretical investigations aim to explore the fusion characteristics of various isotopes of Z = 120 within the relativistic mean-field formalism. We predict the most suitable projectile-target combination for the synthesis of element Z = 120. The increase in fusion cross section of nuclei in the superheavy island directly signals the nuclear shell effects. Besides these, the analysis will be crucial and relevant for future experiments to synthesize superheavy nuclei. Methods: The microscopic nucleon-nucleon R3Y interaction and the density distributions for targets and projectiles are calculated using a relativistic mean-field formalism with the NL3* parameter set. These densities and R3Y nucleon-nucleon (NN) interaction are then used to calculate the nuclear interaction potential using the double folding approach. Seventeen different projectile-target combinations that allow a high N/Z ratio are considered in the present analysis to calculate the capture and/or fusion cross sections of various isotopes of Z = 120 within the l-summed Wong formula. Results: The nuclear density distributions for the interacting projectile and target nuclei are obtained from relativistic mean-field Lagrangian for the NL3* parameter set. The nucleus-nucleus interaction potential is estimated for seventeen possible projectile-target combinations using the mean-field density and the R3Y NN potential via a double folding approach. The fusion barriers are obtained by adding the Coulomb potential to the nucleus-nucleus interaction potential. Finally, the fusion and/or capture cross section is calculated for all the systems within the l-summed Wong formula. Further, the equivalent surface diffusion parameter is estimated to correlate the surface properties of interacting nuclei with the fusion cross section. Conclusions: The four Ti-based reactions with the heaviest available target Cf-x, namely, Ti-46+Cf-248, Ti-46+Cf-249, Ti-50+Cf-249, and Ti-50+Cf-252, and also Cr-54+Cm-250 are found to have the most suitable target-projectile combinations for the synthesis of various isotopes Z = 120. We also notice that Ca-48 beams merely provide the required number of protons to synthesize the element with Z = 120. We established a correlation among the surface properties of interacting nuclei with the fusion characteristics in terms of the equivalent surface diffusion parameter. Amer Physical Soc 2021-08-26 Article PeerReviewed Rana, Shilpa and Kumar, Raj and Bhuyan, M. (2021) Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism. Physical Review C, 104 (2). ISSN 2469-9985, DOI https://doi.org/10.1103/PhysRevC.104.024619 <https://doi.org/10.1103/PhysRevC.104.024619>. 10.1103/PhysRevC.104.024619
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QC Physics
spellingShingle QC Physics
Rana, Shilpa
Kumar, Raj
Bhuyan, M.
Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism
description Background: Isotopes of Z = 107-118 have been synthesized using cold fusion at GSI, Darmstadt, and hot fusion reactions at JINR, Dubna. Recently theoretical models have predicted Z = 120 with N = 184 as an island of stability in the superheavy valley. Hence it is crucial and exciting to predict theoretically the possible combination of projectiles and targets for the synthesis of Z = 120, which can be informative for upcoming experiments. Purpose: Present theoretical investigations aim to explore the fusion characteristics of various isotopes of Z = 120 within the relativistic mean-field formalism. We predict the most suitable projectile-target combination for the synthesis of element Z = 120. The increase in fusion cross section of nuclei in the superheavy island directly signals the nuclear shell effects. Besides these, the analysis will be crucial and relevant for future experiments to synthesize superheavy nuclei. Methods: The microscopic nucleon-nucleon R3Y interaction and the density distributions for targets and projectiles are calculated using a relativistic mean-field formalism with the NL3* parameter set. These densities and R3Y nucleon-nucleon (NN) interaction are then used to calculate the nuclear interaction potential using the double folding approach. Seventeen different projectile-target combinations that allow a high N/Z ratio are considered in the present analysis to calculate the capture and/or fusion cross sections of various isotopes of Z = 120 within the l-summed Wong formula. Results: The nuclear density distributions for the interacting projectile and target nuclei are obtained from relativistic mean-field Lagrangian for the NL3* parameter set. The nucleus-nucleus interaction potential is estimated for seventeen possible projectile-target combinations using the mean-field density and the R3Y NN potential via a double folding approach. The fusion barriers are obtained by adding the Coulomb potential to the nucleus-nucleus interaction potential. Finally, the fusion and/or capture cross section is calculated for all the systems within the l-summed Wong formula. Further, the equivalent surface diffusion parameter is estimated to correlate the surface properties of interacting nuclei with the fusion cross section. Conclusions: The four Ti-based reactions with the heaviest available target Cf-x, namely, Ti-46+Cf-248, Ti-46+Cf-249, Ti-50+Cf-249, and Ti-50+Cf-252, and also Cr-54+Cm-250 are found to have the most suitable target-projectile combinations for the synthesis of various isotopes Z = 120. We also notice that Ca-48 beams merely provide the required number of protons to synthesize the element with Z = 120. We established a correlation among the surface properties of interacting nuclei with the fusion characteristics in terms of the equivalent surface diffusion parameter.
format Article
author Rana, Shilpa
Kumar, Raj
Bhuyan, M.
author_facet Rana, Shilpa
Kumar, Raj
Bhuyan, M.
author_sort Rana, Shilpa
title Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism
title_short Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism
title_full Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism
title_fullStr Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism
title_full_unstemmed Fusion cross section of the superheavy Z=120 nuclei within the relativistic mean-field formalism
title_sort fusion cross section of the superheavy z=120 nuclei within the relativistic mean-field formalism
publisher Amer Physical Soc
publishDate 2021
url http://eprints.um.edu.my/27034/
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score 13.160551