Abstract
The microscopic variant of the Grodzins relation derived based on the Geometrical Collective Model and a microscopic approach to description of the low-energy nuclear structure is applied to predict the excitation energies of the \(2_{1}^{ + }\) states of nuclei with Z \( \geqslant \) 100. It is shown that at the beginning of the chain of the studied nuclei the excitation energies of the \(2_{1}^{ + }\) states do not exceed 80 keV. Then \(E(2_{1}^{ + })\) sharply increases with A and reaches maximum value of 400–500 keV in \(^{{290}}\)Lv or \(^{{294}}\)Og depending on the microscopic variant of the Grodzins relation used in the calculations.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS1063779622060089/MediaObjects/11496_2022_8583_Fig1_HTML.png)
Similar content being viewed by others
REFERENCES
Yu. Ts. Oganessian, J. Phys. G 34, R165 (2007).
Yu. Ts. Oganessian, F. S. Abdullin, P. D. Bailey, D. E. Benker, M. E. Bennett, S. N. Dmitriev, J. G. Ezold, J. H. Hamilton, R. A. Henderson, M. G. Itkis, et al., Phys. Rev. Lett. 104, 142502 (2010).
Yu. Ts. Oganessian, F. S. Abdullin, S. N. Dmitriev, J. M. Gostic, J. H. Hamilton, R. A. Henderson, M. G. Itkis, K. J. Moody, A. N. Polyakov, A. V. Ramayya, et al., Phys. Rev. C 87, 014302 (2013).
S. Hofmann, D. Ackermann, S. Antalic, H. G. Burkhard, V. F. Comas, R. Dressler, Z. Gan, S. Heinz, J. A. Heredia, F. P. Hessberger, et al., Eur. Phys. J. A 32, 251 (2007).
S. Hofmann, Rev. Mod. Phys. 72, 733 (2000).
K. Morita, K. Morimoto, D. Kaji, H. Haba, K. Ozeki, et al., J. Phys. Soc. Jap. 81, 103201 (2012).
G. Münzenberg, Nucl.Phys. A 944, 5 (2015).
L. Grodzins, Phys. Lett. 2, 88 (1962).
S. Raman, C. W. Nestor, Jr., K. H. Bhatt, Phys. Rev. C 37, 805 (1988).
S. Raman, C. W. Nestor, T. Tikkanen, At. Data Nucl. Data Tables, 78, 1 (2001).
R. V. Jolos and E. A. Kolganova, Phys. Lett. B 820, 136581 (2021).
R. V. Jolos and P. von Brentano, Phys. Rev. C 76, 024309 (2007).
V. G. Soloviev, Theory of Complex Nuclei (Pergamon Press, Oxford, 1976).
V. G. Soloviev, Theory of Atomic Nuclei: Quasiparticles and Phonons (Energoatomizdat, Moscow, 1989; IOP Publishing, Bristol, 1992).
N. Yu. Shirikova, A. V. Sushkov, L. A. Malov, E. A. Kolganova, and R. V. Jolos, Phys. Rev. C 105, 024309 (2022).
V. M. Strutinsky, Sov. J. Nucl. Phys. 3, 149 (1966).
V. M. Strutinsky, Nucl. Phys. A 95, 420 (1976).
R. V. Jolos and P. von Brentano, Phys. Rev. C 77, 064317 (2008).
R. V. Jolos and P. von Brentano, Phys. Rev. C 78, 064309 (2008).
ACKNOWLEDGMENTS
The authors acknowledge the support by the Ministry of Education and Science (Russia) under Grant no. 075-10-2020-117.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shirikova, N.Y., Sushkov, A.V., Malov, L.A. et al. Microscopically Derived Grodzins Relation and Prediction of the Excitation Energies of the \(2_{1}^{ + }\) States for Some Superheavy Nuclei. Phys. Part. Nuclei 53, 1138–1141 (2022). https://doi.org/10.1134/S1063779622060089
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063779622060089