Structure studies of Californium isotopes 200-300Cf
Abstract
The study of nuclear structure plays an important role in understanding the properties and stability of heavy elements. This work presents a theoretical study on the structural properties of californium (Cf) isotopes in the mass number range 200–300. The Dirac-Hartree-Bogoliubov (DIRHB) model, which offers a self-consistent description of nuclear structure, is used to conduct the analysis within the framework of relativistic mean-field theory. Through important nuclear parameters such binding energy per nucleon, charge radius, root mean square (RMS) radius, two-neutron separation energy, and quadrupole deformation parameter (β2), the study aims to comprehend the behavior of heavy nuclei. The study examines how nuclear structure changes as the number of neutrons increases and finds patterns in nuclear stability, deformation, and shell effects. The results obtained from this study provide important findings into the structural characteristics of Californium isotopes, mainly in regions where experimental data is limited or unavailable. This work advances our knowledge of nuclear structure in the actinide area and demonstrates how well the DIRHB model describes the characteristics of heavy nuclei. The findings also help extend the nuclear landscape for californium isotopes and provide a basis for future theoretical and experimental studies in nuclear physics. The present work confirm the possibility of having shell closure or midshell closure at N=138.
References
[1] E. M. Holmbeck, T. M. Sprouse, and M. R. Mumpower, “Nucleosynthesis and observation of the heaviest elements,” The European Physical Journal A, vol. 59, no. 2, p. 28, 2023.
[2] C. J. Hansen, “Heavy elements: They came out of the blue,” Experimental astronomy, vol. 55, no. 1, pp. 133– 147, 2023.
[3] R. G. Haire, “Californium,” in The chemistry of the Actinide and Transactinide elements, pp. 1499–1576, Springer, 2011.
[4] E. Ummukulsu and A. Joseph, “Investigation on the structure properties of thorium nuclei spanned between the drip-lines and the prediction of shell closure,” The European Physical Journal Plus, vol. 138, no. 12, p. 1077, 2023.
[5] T. Nikšić, N. Paar, D. Vretenar, and P. Ring Computer Physics Communications, vol. 185, no. 6, pp. 1808–1821, 2014.
[6] J. Boguta and A. Bodmer, “Relativistic calculation of nuclear matter and the nuclear surface,” Nuclear Physics A, vol. 292, no. 3, pp. 413–428, 1977.
[7] W. Pannert, P. Ring, and J. Boguta, “Relativistic meanfield theory and nuclear deformation,” Physical Review Letters, vol. 59, no. 21, p. 2420, 1987.
[8] R. Brockmann and H. Toki, “Relativistic densitydependent hartree approach for finite nuclei,” Physical Review Letters, vol. 68, no. 23, p. 3408, 1992.
[9] M. Wang, W. J. Huang, F. G. Kondev, G. Audi, and S. Naimi, “The ame 2020 atomic mass evaluation (ii). tables, graphs and references,” Chinese Physics C, vol. 45, no. 3, p. 030003, 2021.
[10] I. Sick, “Proton charge radius from electron scattering,” Atoms, vol. 6, no. 1, 2018.
[11] P. Guo, X. Cao, K. Chen, Z. Chen, M.-K. Cheoun, Y.-B. Choi, P. C. Lam,W. Deng, J. Dong, P. Du, et al., “Nuclear mass table in deformed relativistic hartree–bogoliubov theory in continuum, ii: Even-z nuclei,” Atomic Data and Nuclear Data Tables, vol. 158, p. 101661, 2024.
[12] D. Ni, Z. Ren, T. Dong, and Y. Qian, “Nuclear charge radii of heavy and superheavy nuclei from the experimental a -decay energies and half-lives,” Physical Review C—Nuclear Physics, vol. 87, no. 2, p. 024310, 2013.
[13] E. M. Ramirez, D. Ackermann, K. Blaum, M. Block, C. Droese, C. E. Düllmann, M. Dworschak, M. Eibach, S. Eliseev, E. Haettner, et al., “Direct mapping of nuclear shell effects in the heaviest elements,” Science, vol. 337, no. 6099, pp. 1207–1210, 2012.
[14] H. A. Zghaier, S. A. Ebrahiem, and H. Abdul_Jabbar, “Study the shapes of nuclei for heavy elements with mass number equal to (226 ≤ a ≤ 252) through determination of deformation parameters for two elements (u&cf),” Ibn AL-Haitham Journal For Pure and Applied Science, vol. 31, no. 3, pp. 10–19, 2018.
[15] B. Pritychenko, M. Birch, B. Singh, and M. Horoi, “Tables of e2 transition probabilities from the first 2+ states in even–even nuclei,” Atomic Data and Nuclear Data Tables, vol. 107, pp. 1–139, 2016.
[16] P. Möller, A. J. Sierk, T. Ichikawa, and H. Sagawa, “Nuclear ground-state masses and deformations: Frdm (2012),” Atomic Data and Nuclear Data Tables, vol. 109, pp. 1–204, 2016.