Statistical Analysis of the Distribution of 0+ State Energies in the Actinide Nuclei

  • A. I. Levon Institute for Nuclear Research, Nat. Acad. of Sci. of Ukraine
Keywords: 0 states, Brody distribution, quasiparticle-phonon model


The statistical analysis of the distributions of the 0+ state energies in actinide nuclei is carried out, by using the Brody distribution function. It reveals an intermediate character of the experimental 0+ spectra between order and chaos. This function is turned out to be different for the available experimental data and the calculated ones in the frame of the quasiparticle-phonon model.


A.I. Levon, G. Graw, Y. Eisermann, R. Hertenberger, J. Jolie, N.Yu. Shirikova, A.E. Stuchbery, A.V. Sushkov, P.G. Thirolf, H.-F. Wirth, N.V. Zamfir. Spectroscopy of 230Th in the (,) reaction. Phys. Rev. C 79, 014318 (2009).

A.I. Levon, G. Graw, R. Hertenberger, S. Pascu, P.G. Thirolf, H.-F. Wirth, P. Alexa. 0 + states and collective bands in 228Th studied by the (,) reaction. Phys. Rev. C 88, 014310 (2013).

A.I. Levon, P. Alexa, G. Graw, R. Hertenberger, S. Pascu, P.G. Thirolf, and H.-F. Wirth. Spectroscopy of 232U in the (,) reaction: More information on 0 + excitations. Phys. Rev. C 92, 064319 (2015).

M. Spieker, D. Bucurescu, J. Endres, T. Faestermann, R. Hertenberger, S. Pascu, S. Skalacki, S. Weber, H.-F. Wirth, N.V. Zamfir, and A. Zilges. Possible experimental signature of octupole correlations in the 0 + 2 states of the actinides. Phys. Rev. C 88, 041303(R) (2013).

A. Bohr, B.R. Mottelson. Nuclear Structure: Nuclear Deformations (World Scientific, 1998), Vol. 2.

F. Iachello, A. Arima. The Interacting Boson Model (Cambridge Univ. Press, 1987).

V.G. Soloviev. Theory of Atomic Nuclei: Quasiparticles and phonons (Institute of Physics, 1992).

T.A. Brody. A statistical measure for the repulsion of energy levels. Lett. Nuovo Cim. 7, 482 (1973).

N. Lo Iudice, A.V. Sushkov, N.Yu. Shirikova. Microscopic structure of low-lying 0+ states in deformed nuclei. Phys. Rev. C 72, 034303 (2005), and A.V. Sushkov (private communication).

Y. Alhassid, A. Novoselsky, N. Whelan. Chaos in the lowlying collective states of even-even nuclei. Phys. Rev. Lett. 65, 2971 (1990).

P. Cejnar, J. Jolie. Quantum phase transitions in the interacting boson model. Progr. Part. Nucl. Phys. 62, 210 (2009).

R.K. Sheline, P. Alexa. Search for the beginning of chaos in the low-energy region of well deformed even-even nuclei. Acta Phys. Pol. B 39, 711 (2008).

Ch. Stoyanov, V. Zelevinsky. High-lying single-particle modes, chaos, correlational entropy, and doubling phase transition. Phys. Rev. C 70, 014302 (2004).

Ch. Stoyanov. Quasiparticles, phonons and beyond (nuclear structure calculations in a large domain of excitation energies). Rom. J. Phys. 58, 1096 (2013).

How to Cite
Levon, A. (2018). Statistical Analysis of the Distribution of 0+ State Energies in the Actinide Nuclei. Ukrainian Journal of Physics, 62(7), 565.
Nuclei and nuclear reactions