Rotational Ground-State Bands of Doubly Even-Even 170,172Hf Isotopes

I. Hossain; Hewa Y. Abdullah; I.M. Ahmed; Fadhil I. Sharrad

doi:10.18535/ijsrm/v9i10.p01

Abstract

Using phenomenological fitting, Sood’s semi-empirical formula have been investigated the rotational structure of even-even rare-earth 170,172Hf nuclei. The calculated rotational energies were compared with their corresponding experimental data. It showed that in 172Hf and 170Hf isotopes, calculated energies fits the experimental values to a remarkable degree of accuracy with deviation less than 3 percent at Jπ = 18+ state and Sood’s semi-empirical formula predicted rotational energies.

References

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[refR-1] A. Bohr and B. R. Mottelson,(1953) “Interpretation of Isomeric Transitions of Electric Quadrupole Type” Physics. Review 89, 316Google Scholar ↗

[refR-2] A. Bohr, B. R. Mottelson. “Collective Nuclear Motion and the Unified Model, Beta- andGoogle Scholar ↗

[refR-3] Gamma-Ray Spectroscopy” https://cds.cern.ch/record/212241/files/cern-55-07.pdfGoogle Scholar ↗

[refR-4] M. C. Baglin ,(2002) “Nuclear Data for A= 170” Nuclear Data. Sheets, 96, 611-873Google Scholar ↗

[refR-5] E. Feenberg, (1947) Semi-empirical Theory of the Nuclear Energy Surface, Reviews of Modern Physics 19, 233.Google Scholar ↗

[refR-6] A.E.S. Green and N.A. Engler,(1953) “Mass Surfaces”, Phys. Rev. 91, 40-45Google Scholar ↗

[refR-7] A. Kumar A and Gunye MR (1980). The Yrast States of the Even Hafnium Isotopes 166-Google Scholar ↗

[refR-8] Hf, J. Phys. G: Nucl. Phys. 6,229 – 240.Google Scholar ↗

[refR-9] M. A Preston, R. K Bhaduri (1975). Structure of the Nucleus, Addison-Wesley PublishingGoogle Scholar ↗

[refR-10] Company.Google Scholar ↗

[refR-11] B, Sing (1995), “Nuclear Data for A= 172”. Nucl. Data. Sheets, 75,199-376Google Scholar ↗

[refR-12] K. Singh and H.S. Sahota (1985), “Absolute Pair Production Cross Sections for Z = 13, 26, 29,Google Scholar ↗

[refR-13] and 82 at (1.173+1.333) MeV”, Ind. J. Phys. A, 59,157.Google Scholar ↗

[refR-14] S. A. Saethre, A. Hjorth, S. Johnson, S. Jägare, H. Ryde and Z. Szymański. (1973), “AngularGoogle Scholar ↗

[refR-15] Velocity Expansions of Nuclear Rotational Energies” Nucl. Phys. A. 207,486-512.Google Scholar ↗

[refR-16] F. S. Stephens, J.R.M. Diamond and I. Perlman (1959), “Multiple Coulomb Excitation in Th-232Google Scholar ↗

[refR-17] and U238” Phys. Rev. Lett. 3, 435.Google Scholar ↗

[refR-18] P.C. Sood (1968), “Comparative Study of Two Parameter Models for Predicting RotationalGoogle Scholar ↗

[refR-19] Energies in even-even Nuclei”. Nuclear Data Sheet A, 4, 281-300.Google Scholar ↗

[refR-20] R. Wallace and J.A. Welch, (1960) “Beta Spectra of the Mirror Nuclei”, Physical Review, 117, 1297.Google Scholar ↗