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Possible syntheses of unknown superheavy 309,312126 nuclei

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Abstract

In this paper, we theoretically investigate 21 projectile-target combinations of stable isotopes for the pre-synthesis parameters and production cross sections of the unknown superheavy 309,312126 nuclei. It is found that 61Ni + 248Cf and 64Ni + 248Cf combinations are the best candidates for the synthesis of the 309,312126 isotopes due to their largest cross sections of 0.03 and 3.6 pb, respectively. Besides, the results in the present and previous works indicate that the uncertainty, from pb to zb, in the synthesis cross sections of superheavy nuclei should be narrowed for a decision of measurements using the presently available facilities. This study, thus, provides valuable data for the synthesis of 126th element.

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Notes

  1. References [63, 70] used a concept of so-called ground-state level density, \(\rho_{\rm C}^{g} \left( {E^{*} ,J_{\rm C} } \right)\). In fact, this concept is not correct because nuclear level density, by its original definition, is the number of excited states per unit of excitation energy. Thus, nuclear level density reflects the thermodynamic properties of excited nuclei, not nuclei at the ground state [71, 72]. Therefore, in the present work, we use in Eq. (23) the correct definition \(\rho_{\rm C} \left( {E^{*} ,J_{\rm C} } \right)\) instead of \(\rho_{\rm C}^{g} \left( {E^{*} ,J_{\rm C} } \right)\).

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Acknowledgements

This work is supported by the National Research Foundation of Korea (NRF) Grants funded by the Korea government (MEST) (Nos. NRF-2020R1C1C1006029, NRF-2017R1D1A1B03030019, NRF-2020R1A2C1005981 and NRF-2016R1A5A1013277). This work is also supported by Vietnam Ministry of Science and Technology (MOST) under the Program of Development in Physics toward 2020 (Grant No. DTDLCN.02/19) and National Foundation for Science and Technology Development (NAFOSTED) of Vietnam (Grant No. 103.04-2018.303). The author T. V. Nhan Hao (tvnhao@hueuni.edu.vn) thanks to the financial support of the Nuclear Physics Research Group (NP@HU) at Hue University (Grant No. 43/HD-DHH).

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Authors and Affiliations

  1. Faculty of Physics, University of Education, Hue University, 34 Le Loi Street, Hue City, 530000, Vietnam

    Nguyen Nhu Le & Tran Viet Nhan Hao

  2. Institute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh City, 700000, Vietnam

    Nguyen Quang Hung & Le Tan Phuc

  3. Faculty of Natural Sciences, Duy Tan University, Da Nang City, 550000, Vietnam

    Nguyen Quang Hung & Le Tan Phuc

  4. Faculty of Fundamental Sciences, Vanlang University, Ho Chi Minh City, 700000, Vietnam

    Nguyen Duy Ly

  5. Institute of Research and Development, Duy Tan University, Da Nang City, 550000, Vietnam

    Nguyen Ngoc Duy

  6. Department of Physics, Sungkyunkwan University, Suwon, 16419, South Korea

    Kyung Yuk Chae & Nguyen Ngoc Duy

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  1. Nguyen Nhu Le
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Contributions

NNL: Calculations, data analysis, and writing the first draft of the manuscript. NQH: level density analysis, checking computer code, and editting manuscript. TVNH and LTP: supporting data analysis and double-checked all the numerical calculations. NDL: quantitive evaluations of fission barriers to explain the large cross sections and participating manuscript revision. KYC: supporting theoretical framework design and discussions on results. NND: Conceptualization, data analysis, discussions, writing the manuscript, and responsibility for the study. Comments and discussions on the manuscripts were done by all of the authors. All authors read and approved the final manuscript.

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Correspondence to Nguyen Ngoc Duy.

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Le, N.N., Hung, N.Q., Hao, T.V.N. et al. Possible syntheses of unknown superheavy 309,312126 nuclei. J Radioanal Nucl Chem 326, 1135–1149 (2020). https://doi.org/10.1007/s10967-020-07379-z

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