Abstract
In the present work, Weisskopf hindrance factor \({{F}_{{\text{W}}}}\) for electric and magnetic multipole transitions has been analyzed in the mass range \(20\) \( \leqslant \)A \( \leqslant \) \(250\). An empirical correlation between the variation in \({{F}_{{\text{W}}}}\) as a function of multipolarity has been determined. The pattern of \({{F}_{{\text{W}}}}\) as a function of multipolarity and \({{F}_{\nu }}\) as a function of the degree of \(K\)-forbiddenness are found indirectly similar to the pattern of the conversion coefficient with multipolarity. The odd-even nucleon staggering effect on \({{F}_{{\text{W}}}}\) is discussed.
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REFERENCES
C. F. von Weizsäcker, “Metastable states of atomic nuclei,” Naturwissenschaften 24, 813 (1936).
H. A. Bethe, “Nuclear dynamics,” Rev. Mod. Phys. 9, 69 (1937).
P. M. Walker and G. D. Dracoulis, “Energy traps in atomic nuclei,” Nature 399, 35 (1999).
G. D. Dracoulis, “Isomers, nuclear structure and spectroscopy,” Phys. Scripta 2013, 014015 (2013).
P. M. Walker and F. R. Xu, “High-K isomerism in rotational nuclei,” Phys. Scripta 91, 013010 (2016).
G. Audi, F. G. Kondev, M. Wan, W. J. Huang, and S. Naimi, “The NUBASE2016 evaluation of nuclear properties,” Chin. Phys. C 41, 030001 (2017).
A. K. Jain, B. Maheshwari, S. Garg, M. Patial and B. Singh, “Atlas of nuclear isomers,” Nucl. Data Sheets 128, 1 (2015).
F. G. Kondev, G. D. Dracoulis and T. Kibédi, “Configurations and hindered decays of K isomers in deformed nuclei with A > 100,” At. Data Nucl. Data Tables 103–104, 50 (2015).
P. Walker and Z. Podolyák, “100 years of nuclear isomers-then and now,” Phys. Scripta 95, 044004 (2020).
A. Bohr and B. R. Mottelson, “Rotational states in even-even nuclei,” Phys. Rev. 90, 717 (1953).
K. S. Krane, Introductory Nuclear Physics (John Wiley, 1988).
E. Feenberg, “Nuclear shell structure and isomerism, Phys. Rev. 75, 320 (1949).
M. G. Mayer, “On closed shells in nuclei. II,” Phys. Rev. 75, 1969 (1949).
O. Haxel, J. H. D. Jensen and H. E. Suess, “On the magic numbers in nuclear structure,” Phys. Rev. 75, 1766 (1949)
M. Goldhaber and A. W. Sunyar, “Classification of nuclear isomers,” Phys. Rev. 83, 906 (1951).
M. Goldhaber and R. D. Hill, “Nuclear isomerism and shell structure,” Rev. Mod. Phys. 24, 179 (1952).
J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (John Wiley, 1952; Inostr. Lit., Moscow, 1954).
R. B. Firestone and V. S. Shirley, Table of Isotopes, 8th ed. (Wiley, New York, 1996).
G. Alaga, K. Alder, A. Bohr, and B. R. Mottelson, “Intensity rules for beta and gamma transitions to nuclear rotational states,” Mat. Phys. Medd. Dan. Vid. Selsk. 29, No. 9 (1955).
L. I. Rusinov, Sov. Phys. Usp. 4, 282 (1961).
K. E. G. Lobner, “Systematics of absolute transition probabilities of k-forbidden gamma-ray transitions, Phys. Lett. B 26 369 (1968).
M. Goldhaber and A. W. Sunyar, “Classification of nuclear isomers,” Phys. Rev. 83, 906 (1951).
Nuclear Data List (XUNDL), www.nndc.bnl.gov/ensdf.
C. M. Lederer, V. S. Shirley, E. Browne, J. M. Dairiki, R. E. Doebler, A. A. Shihab-Eldin, L.J. Jardine, J. K. Tuli, and A. B. Buyrn, Table of Isotopes, 7th ed. (John Wiley, New York, 1978).
Xiao-Dong Sun, Chao Duan, Jun-Gang Deng, Ping Guo, and Xiao-Hua Li, “Systematic study of α decay for odd-A nuclei within a two-potential approach,” Phys. Rev. C 95, 014319 (2017).
C. Xu and Z. Ren, “Favored α-decays of medium mass nuclei in density-dependent cluster model,” Nucl. Phys. A 760, 303 (2005).
H. Koura, T. Tachibana, M. Uno, and M. Yamada, “Nuclidic mass formula on a spherical basis with an improved even-odd term,” Prog. Theor. Phys. 113, 305 (2005).
D. S. Delion, A. Dumitrescu, and V. V. Baran, “Even-odd staggering of the spectroscopic factor as new evidence for α clustering,” Phys. Rev. C 93, 044321 (2016).
F. R. Xu, R. Wyss, and P. M. Walker, “Mean-field and blocking effects on odd-even mass differences and rotational motion of nuclei,” Phys. Rev. C 60, 051301 (1999).
W. Satula, J. Dobaczewski, and W. Nazarewicz, “Odd-even staggering of nuclear masses: pairing or shape effect?,” Phys. Rev. Lett. 81, 3599 (1998).
J. Deng and H. Zhang, “Correlation between α-particle preformation factor and α decay energy,” Phys. Lett. B 816, 136247 (2021).
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Financial assistance from the University Grant Commission (UGC) and Inter University Accelerator Centre (IUAC), New Delhi, is gratefully acknowledged.
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Singh, Y.P., Kumar, V., Shukla, A. et al. Systematic Study of Gamma Decay Hindrance Factors. Phys. Part. Nuclei Lett. 20, 577–582 (2023). https://doi.org/10.1134/S1547477123040635
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DOI: https://doi.org/10.1134/S1547477123040635