The Limits of Studying High-Spin States by Discrete-Line Gamma-Ray Spectroscopy

Abstract

The limits of studying high-spin states by discrete-line gamma-ray spectroscopy. L.

Third Discontinuity in the Yrast Levels ofEr158

“…The first of these sets is in agreement with the previous determinations for 158 Er and the second is similar to that found for 160 Yb (Ref. 10). They support the previous suggestions that i l3 / 2 neutrons and h n / 2 protons, respectively, are the particles responsible for the effects.…”

Evidence for Decreased Pairing Energies in Odd-NNuclei from Band-Crossing Frequencies

“…Experimental band crossing (or alignment) frequencies have been obtained for a large number of Er, 5 Yb, 3 » 6 Hf, 7 and W 8 nuclei. The systematic behavior of Hv c is shown as a function of neutron number in Fig.…”

The angular momentum and parity projected multidimensionally constrained relativistic Hartree–Bogoliubov model

“…On the one hand, the group theory analysis is strict and can be generalized to any other intrinsic shapes. For example, we can predict the low-lying states of a tetrahedral rotor and compare the results with that of the 16 O nucleus, which was predicted to exhibit a four-α cluster structure. On the other hand, there are also less abstract ways of understanding the essentiality of the nuclear rotational spectrum.…”

“…The multiple chiral doublet (MχD) in nuclei with different triaxial configurations was predicted by Meng et al [6] and recently confirmed experimentally in several nuclei [7][8][9][10][11]. A number of studies have shown that the low-spin signature inversion indicates the existence of triaxiality in certain regions of the nuclide chart [12][13][14][15][16][17]. On the other hand, the parity-breaking octupole deformations β 3μ ≠ 0 are also found in many experiments [18][19][20].…”

“…where P ˆis the spatial reflection operation and π = ± 1 is the parity.With P MK I ˆand P ˆp, we can project out states with good angular momentum I, M and parity π from an RHB meanfield wave function |Φ〉, Ip are some undetermined constants. Taking equation(16) as the trial wave function and solving the variational problem against the variables f K Ip , we end up with the Hill-Wheeler--Griffin equation[74] kernel  and the norm kernel  are defined as…”