Abstract
Deformed even–even nuclei Barium isotopes with quadrupole–octupole deformations are investigated on the basis of a collective model. The model describes energy levels of the yrast band with alternating parity in the neutron-rich \(^{140,142,144,146,148}\)Ba. The structure of the alternating parity bands is examined by odd–even \((\Delta I =1)\) staggering diagrams. An analytical method of the collective model is proposed for the calculation of E2 transition probabilities in alternating spectra of the nuclei \({}^{140,142,144,146}\)Ba.
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References
P.A. Butler, W. Nazarewicz, Intrinsic reflection asymmetry in atomic nuclei. Rev. Mod. Phys. 68, 349–421 (1996). doi:10.1103/RevModPhys.68.349
R.V. Jolos, P. von Brentano, Angular momentum dependence of the parity splitting in nuclei with octupole correlations. Phys. Rev. C 49, R2301 (1994). doi:10.1103/PhysRevC.49.R2301
H.J. Krappe, U. Wille, Collective model for pear-shaped nuclei. Nucl. Phys. A 124, 641–654 (1969). doi:10.1016/0375-9474(69)90656-3
VYu. Denisov, A. Ya, Dzyublik. Collective states of even-even and odd nuclei with \(\beta _{2}, \beta _{4}, \ldots, \beta _{N}\) deformations. Nucl. Phys. A 589, 17–57 (1995). doi:10.1016/0375-9474(95)00075-C
N. Minkov, P. Yotov, S. Drenska et al., Nuclear collective motion with a coherent coupling interaction between quadrupole and octupole modes. Phys. Rev. C 73, 044315 (2006). doi:10.1103/PhysRevC.73.044315
P.G. Bizzeti, A.M. Bizzeti-Sona, Description of nuclear octupole and quadrupole deformation close to the axial symmetry and phase transitions in the octupole mode. Phys. Rev. C 70, 064319 (2004). doi:10.1103/PhysRevC.70.064319
P.G. Bizzeti, A.M. Bizzeti-Sona, Description of nuclear octupole and quadrupole deformation close to axial symmetry: critical-point behavior of \({}^{224}\)Ra and \({}^{224}\)Th. Phys. Rev. C 77, 024320 (2008). doi:10.1103/PhysRevC.77.024320
P.G. Bizzeti, A.M. Bizzeti-Sona, Description of nuclear octupole and quadrupole deformation close to axial symmetry: octupole vibrations in the X(5) nuclei \({}^{150}\)Nd and \({}^{152}\)Sm. Phys. Rev. C 81, 024320 (2010). doi:10.1103/PhysRevC.81.034320
W.R. Phillips, I. Ahmad, H. Emling et al., Octupole deformation in neutron-rich barium isotopes. Phys. Rev. Lett. 57, 3257 (1986). doi:10.1103/PhysRevLett.57.3257
H. Mach, W. Nazarewicz, D. Kusnezov et al., Influence of shell effects and stable octupole deformation on the E1 and E2 transition rates in the heavy-Ba region. Phys. Rev. C 41, R2469(R) (1990). doi:10.1103/PhysRevC.41.R2469
S. Cwiok, W. Nazarewicz, Ground-state shapes and spectroscopic properties of \(\text{ Z }\sim 58, \text{ N }\sim 88\) nuclei. Nucl. Phys. A 496, 367–384 (1989). doi:10.1016/0375-9474(89)90180-2
A. Sobiczewski, Z. Patyk, S. Cwiok et al., Study of the potential energy of “octupole”-deformed nuclei in a multidimensional deformation space. Nucl. Phys. A 485, 16–30 (1988). doi:10.1016/0375-9474(88)90519-2
D. Kusnezov, F. Iachello, A study of collective octupole states in barium in the interacting boson model. Phys. Lett. B 209, 420–424 (1988). doi:10.1016/0370-2693(88)91166-5
N. Minkov, A model approach to quadrupole–octupole deformations in atomic nuclei. Rom. J. Phys 58, 1130–1140 (2013). doi:10.1016/RomJournPhys.58.1130-1140
P.M. Davidson, Eigenfunctions for calculating electronic vibrational intensities. Proc. R. Soc. Lond. A 135, 459–472 (1932). doi:10.1098/rspa.1932.0045
D.J. Rowe, C. Bahri, Rotation-vibrational spectra of diatomic molecules and nuclei with Davidson interactions. J. Phys. A Math. Gen. 31, 4947 (1998). doi:10.1088/0305-4470/31/21/011
N. Minkov, S. Drenska, M. Strecker et al., Non-yrast nuclear spectra in a model of coherent quadrupole–octupole motion. Phys. Rev. C 85, 034306 (2012). doi:10.1103/PhysRevC.85.034306
D. Bonatsos, C. Daskaloyannis, S.B. Drenska et al., ΔI = I staggering in octupole bands of light actinides: “beat” patterns. Phys. Rev. C 62, 024301 (2000). doi:10.1103/PhysRevC.62.024301
N. Minkov, S.B. Drenska, P.P. Raychev et al., “Beat” patterns for the odd-even staggering in octupole bands from a quadrupole–octupole Hamiltonian. Phys. Rev. C 63, 044305 (2001). doi:10.1103/PhysRevC.63.044305
N. Minkov, P. Yotov, S. Drenska et al., Parity shift and beat staggering structure of octupole bands in a collective model for quadrupole-octupole-deformed nuclei. J. Phys. G Nucl. Part Phys. 32, 497–509 (2006). doi:10.1088/0954-3899/32/4/008
N. Minkov, S. Drenska, P. Yotov et al., Coherent quadrupole–octupole modes and split parity-doublet spectra in odd-A nuclei. Phys. Rev. C 76, 034324 (2007). doi:10.1103/PhysRevC.76.034324
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This work was supported by the National Natural Science Foundation of China (Nos. 11075133, U1332126, 10205019).
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Zhang, X., Peng, Y., Zhou, CB. et al. Nuclear alternating parity bands and transition rates in a model of coherent quadrupole–octupole motion in neutron-rich barium isotopes. NUCL SCI TECH 27, 129 (2016). https://doi.org/10.1007/s41365-016-0128-0
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DOI: https://doi.org/10.1007/s41365-016-0128-0