“Staggering” Effect in Even-even Nuclei with Quadrupole and Octupole Deformations

Authors

  • M.S. Nadirbekov Institute of Nuclear Physics, Academy of Sciences of Republic Uzbekistan
  • G.A. Yuldasheva Institute of Nuclear Physics, Academy of Sciences of Republic Uzbekistan

DOI:

https://doi.org/10.15407/ujpe56.6.511

Keywords:

-

Abstract

The ∆I = 1 "staggering" effect is investigated in the energy spectrum of positive and negative parities of the yrast band of even-even actinide nuclei. The "staggering" effect is described by the formula proportional to the discrete approximation of the fourth-order derivative of the function ∆E(I). It is shown that the "staggering" effect is characterized by the "zigzag" behavior and does not vanish within the observed range of angular momenta.

References

A. Bohr and B.R. Mottelson, Nuclear Structure Vol. II: Nuclear Deformations (World Scientific, Singapore, 1998).

https://doi.org/10.1142/3530

P. Schüler et al., Phys. Lett. B 174, 241 (1986).

https://doi.org/10.1016/0370-2693(86)91091-9

W.R. Phillips et al., Phys. Rev. Lett. 57, 3257 (1986).

https://doi.org/10.1103/PhysRevLett.57.3257

R.K. Sheline and P.C. Sood, Phys. Rev. C 34, 2362 (1986).

https://doi.org/10.1103/PhysRevC.34.2362

G.A. Leander, R.K. Sheline, P. Moller, P. Olanders, I. Ragnarsson, and A.J. Sierk, Nucl. Phys. A 388, 452 (1982)

https://doi.org/10.1016/0375-9474(82)90471-7

G.A. Leander and R.K. Sheline, Nucl. Phys. A 413, 375 (1984).

https://doi.org/10.1016/0375-9474(84)90417-2

I. Ahmad and P.A. Butler, Annu. Rev. Nucl. Part. Sci. 43, 71 (1993).

https://doi.org/10.1146/annurev.ns.43.120193.000443

P.A. Butler and W. Nazarewicz, Rev. Mod. Phys. 68, 349 (1996).

https://doi.org/10.1103/RevModPhys.68.349

V.Yu. Denisov and A.Ya. Dzyublik, Nucl. Phys. A 589, 17 (1995).

https://doi.org/10.1016/0375-9474(95)00075-C

J.P. Elliot and J.A. Evans, Phys. Lett. B 169, 309 (1986).

https://doi.org/10.1016/0370-2693(86)90362-X

Sh. Sharipov, M.S. Nadyrbekov, and G.A. Yuldasheva, Ukr. Fiz. Zh. 53, 112 (2008).

P.A. Butler and W. Nazarewicz, Nucl. Phys. A 533, 249 (1991).

https://doi.org/10.1016/0375-9474(91)90489-S

A.S. Davydov and A.A. Chaban, Nucl. Phys. 20, 499 (1960).

https://doi.org/10.1016/0029-5582(60)90191-7

A.S. Davydov, Excited States of Atomic Nuclei (Atomizdat, Moscow, 1967) (in Russian).

V.K. Tartakovskii, Yad. Fiz. 50, 335 (1989)

https://doi.org/10.1016/0022-3697(89)90497-6

P.V. Skorobogatov, Yad. Fiz. 15, 220 (1972).

https://doi.org/10.1001/jama.1972.03200010005002

V.Yu. Denisov and A.Ya. Dzyublik, Yad. Fiz. 56, 30 (1993).

A.G. Sitenko and V.K. Tartakovskii, Lectures on the Theory of the Nucleus (Pergamon Press, Oxford, 1975).

P. Ring and P. Shuck, The Nuclear Many-Body Problem (Springer, Heidelberg, 1980).

https://doi.org/10.1007/978-3-642-61852-9

Dennis Bonatsos, C. Daskaloyannis, S.B. Drenska, N. Karoussos, J. Maruani, N. Minkov, P.P. Raychev, and R.P. Roussev, Phys. Rev. A 60, 253 (1999).

https://doi.org/10.1103/PhysRevA.60.253

R.M. Lieder and H. Róde, Advances in Nuclear Physics, edited by M. Baranger and E. Vogt (Plenum Press, New York, 1978), p. 1.

F.S. Stephens and R.S. Simon, Nucl. Phys. A 138, 257 (1972).

https://doi.org/10.1016/0375-9474(72)90658-6

S. Flibotte et al., Phys. Rev. Lett. 71, 4299 (1993); Nucl. Phys. A 584, 373 (1995).

B. Cederwall, et al., Phys. Rev. Lett. 72, 3150 (1994).

D. Bonatsos, C. Daskaloyannis, S. Drenska, G. Lalazissis, N. Minkov, P. Raychev, and R. Roussev, Phys. Rev. A 54, R2533 (1996).

https://doi.org/10.1103/PhysRevA.54.R2533

C.S. Wu and Z.N. Zhou, Phys. Rev. C 56, 1814 (1997)

https://doi.org/10.1103/PhysRevC.56.1814

L.A. Wu and H. Toki, Phys. Rev. C 56, 1821 (1997).

https://doi.org/10.1103/PhysRevC.56.1821

D. Bonatsos, Phys. Lett. B200, 1 (1988).

P.C. Sood, D.M. Headly, and R.K. Sheline, At. Data Nucl. Data Tables 47, 89 (1991)

https://doi.org/10.1016/0092-640X(91)90019-Z

P.C. Sood, D.M. Headly, and R.K. Sheline, At. Data Nucl. Data Tables 51, 273 (1992).

https://doi.org/10.1016/0092-640X(92)90003-Z

W.R. Phillips et al., Phys. Lett. B 212, 402 (1988).

https://doi.org/10.1016/0370-2693(88)91787-X

Dennis Bonatsos, C. Daskaloyannis, S. B. Drenska, N. Fotiades, N. Minkov, P.P. Raychev, and R.P. Roussev, arXiv:nucl-th/0111003 v1 1 Nov 2001.

M.J.A. de Voigt, J. Dudek, and Z. Szymanski, Rev. Mod. Phys. 55,

(1983).

Dennis Bonatsos, C. Daskaloyannis, S.B. Drenska, N. Karoussos, N. Minkov, P.P. Raychev, and R.P. Roussev, Phys. Rev. C 62, 024301 (2000).

https://doi.org/10.1103/PhysRevC.62.024301

J.F.C. Cocks et al., Phys. Rev. Lett. 78, 2920 (1997)

J.F.C. Cocks et al., Nucl. Phys. A 645, 61 (1999).

https://doi.org/10.1017/S002237789900762X

I.M. Pavlyuchenkov, Usp. Fiz. Nauk 133, 193 (1981).

https://doi.org/10.3367/UFNr.0133.198102a.0193

http://www.nndc.bnl.gov/ensdf/

N. Minkov et al., Phys. Rev. C 73, 044315 (2006).

https://doi.org/10.1103/PhysRevC.73.044315

Downloads

Published

2022-02-10

How to Cite

Nadirbekov, M., & Yuldasheva, G. (2022). “Staggering” Effect in Even-even Nuclei with Quadrupole and Octupole Deformations. Ukrainian Journal of Physics, 56(6), 511. https://doi.org/10.15407/ujpe56.6.511

Issue

Section

Nuclei and nuclear reactions