Description of the Superdeformed Bands of Double Odd Nuclei in A ～ 190 Region

With the supersymmetry scheme including many-body interactions and aperturbation possessing the SO(5)(or SU(5)) symmetry on the rotational symmetry, the superdeformed bands and △I＝4 bifurcation of odd-odd nuclei in A ～ 190 mass region are investigated systematically. Good results for the γ-ray energies, the dynamical moments of inertia, and energy differences △Eγ - △Eref γ are obtained. It shows that this approach is quite powerful in describing odd-odd nuclei in the region.     

Description of Superdeformed Bands of the Nuclei in A ～60 Mass Region

Using the supersymmetry scheme including many-body interactions, we investigate the superdeformed (SD) bands of the nuclei in A ～ 60 mass region systematically. Quantitatively good results of the γ-ray energy spectra and the dynamical moments of inertia are obtained. It shows that the supersymmetry approach is powerful to describe the generic rotational property of SD states of light nuclei.     

Description of the Superdeformed Bands of Odd-Odd Nuclei in A ～ 80 Region

Properties of the superdeformed bands of odd-odd nuclei in A～80 mass region are investigated systematically within the supersymmetry scheme including many-body interactions and a perturbation possessing the SO(5) (or SU(5)) symmetry on the rotational symmetry. The obtained γ-ray energies, and the dynamical moments of inertia agree with experimental data. It shows that this approach is quite powerful in describing odd-odd nuclei in A～80 mass region.     

Description of the Superdeformed Bands of the Odd-Odd Nuclei in A～150 Region

With the supersymmetry scheme including many-body interactions, the global property and the ΔI=4 bifurcation in the superdeformed (SD) bands of odd-odd nuclei in A～150 mass region are investigated systematically. Good results for the γ-ray energies, the dynamical moments of inertia, and energy differences ΔE_γ-ΔE_γ^ref are obtained. It shows that this approach is quite powerful in describing not only the SD bands in even-even and odd-A nuclei but also those in odd-odd nuclei in the mass region.     

Description of the Superdeformed Bands of the Odd-Odd Nuclei in A ～ 150 Region

With the supersymmetry scheme including many-body interactions, the global property and the △I ＝ 4bifurcation in the superdeformed (SD) bands of odd-odd nuclei in A ～ 150 mass region are investigated systematically.Good results for the γ-ray energies, the dynamical moments of inertia, and energy differences △ Eγ - △ Erefγ are obtained.It shows that this approach is quite powerful in describing not only the SD bands in even-even and odd-A nuclei butalso those in odd-odd nuclei in the mass region.     

Further Discussion on the Spin-Determination of Superdeformed Bands in the A～190 Region

The 27 superdeformed bands, whose spin determinations aren't in agreement with two-parameter, three-parameter and four-parameter I(I+1) expansions, are analyzed. The results show that the angular momenta of 18 superdeformed bands can be determined by comparison with the variation of the kinematic and dynamic moments of inertia with rotational frequency and their mutual relation. The angular momenta of superdeformed bands like ¹⁹²Hg(2), which have bands cross, can also determined by analyzing the spectra before bands cross and by comparison with the variation of the kinematic and dynamic moments of inertia with rotational frequency and their mutual relation.     

Description of Superdeformed Bands of the Nuclei in A—80 Mass Region

Within the supersymmetry scheme inchuding many-body interactions and a perturbation possessing the SO(5) (or SU(5)) symmetry on the rotational symmetry,the superdeformed (SD) bands of the nuclei in the A-80 mass region are investigated systematically.Quantitatively good results of the γ-ray energy spectra and the dynamical monents of inertia are obtained.It is shown that the supersymmetry approach is powerful to describe not only the generic rotational property,but also the characteristic of the triaxial SD band simultaneously.     

Re-Discussion of the Spin Assignments of the Superdeformed Bands in A～190 Region (I) Even-Even Superdeformed Nuclei

The superdeformed bands of the even-even nuclei in A～190 region are investigated thoroughly. The observed transition energies are fit to the ab expression to assign the spins with success for most of them provided the influence of the ΔI=4 bifurcation is estimated and removed properly from the r transition energies. For some superdeformed bands the assigned spins obtained in this paper are different from those given by other approaches.     

Identical Superdeformed Bands and Quantized Spin Alignments in A～190 Region

Identical superdeformed bands exist extensively in the A ～ 190 region. With a few exceptions, almost all the superdeformed bands observed have their identical counterparts, supporting the concept of the quantized spin alignment. A likely explanation of the systematics of the superdeformed bands within the framework of particle-rotor model with pseudo-spin symmetry is presented.     

Analysis of Identical Bands for Odd-A Superdeformed Nuclei in A～190 Mass Region

Identical bands of odd-A superdeformed nuclei in the A～190 mass region have been investigated using triaxial-particle-rotor model within the framework of the BCS pairing correlation. Three pairs of identical bands (¹⁹¹Au, ¹⁹¹Hg(b1)), (¹⁹¹Hg(b2),¹⁹³Hg(b2)), and (¹⁹¹Hg(b3), ¹⁹³Hg(b3)) are analyzed. It is pointed out that the identity in the γ-transition energies in these bands may be the result of the occupation of some special orbitals.     

Re-discussion of the Spin Assignments of the Superdeformed Bands in A≈190 Region (Ⅱ) Odd Superdeformed Nuclei

The influence of the I=1 staggering and the fluctuation in observed γ-tyanstion energies on the spin assignments of superdeformed bands is taken into account properly. An improved approach for removing the fluctuations from the observed y transition energies is proposed. The smoothed transition energies are fitted by the ah expression or its modification to assign the spins of the superdeformed bands in the odd-A nuclei in A≈190 region. The assigned spins for some superdeformed bands are different from those given in other approaches.     

Systematic Study on the Superdeformed Bands of Double Odd Nuclei in A～130 Region

Properties of the superdeformed bands of odd-odd nuclei in A ～ 130 mass region are investigatedsystematically within the supersymmetry scheme including many-body interactions and a perturbation possessing theSO(5) (or SU(5)) symmetry on the rotational symmetry. The obtained γ-ray energies, the dynamical moments ofinertia, and energy differences △Eγ - △Erefγ ef agree with experimental data. It shows that this approach is quite powerfulin describing odd-odd nuclei in 130 mass region.     

Systematic Study on the Superdeformed Bands of Double Odd Nuclei in A～130 Region

Properties of the superdeformed bands of odd-odd nuclei in A～130 mass region are investigated systematically within the supersymmetry scheme including many-body interactions and a perturbation possessing the SO(5) (or SU(5)) symmetry on the rotational symmetry. The obtained γ-ray energies, the dynamical moments of inertia, and energy differences △Eγ - △Eγ^ref agree wlth experimental data. It shows that this approach is quite powerful in describing odd-odd nuclei in 130 mass region.     

△I=4 Bifurcations in A～190 Superdeformed Bands

The existence of the △I=4 bifurcation is confirmed via an overall investigation of the A～190 superdeformed bands. The behavior of the bifurcation amplitude is also discussed.     

Wide Existence of the ΔI = 4 Bifurcation in the A～190 Superdeformed Bands

The superdeformed bands in A～190 region were systematically investigated to indicate the existence of ΔI = 4 bifurcation in this region. The behavior of bifurcation was also discussed.     

Study for Superdeformed Bands in A～190 Region with Quantum Group Uqp(u2) Model

superdeformed bands in the A～190 region are systematically analyzed by using the twoparameter expansion of quantum group U_qp(u₂) Model. The calculated results of E2 transition γ ray energies are in agreement with experimental data. According to three different methods for the spin assignment of rotational bands, the spin values of the band head I₀ of the yrast SD bands in ¹⁹⁴Hg(1) and ¹⁹⁴Pb(1) are assigned. Furthermore, the physical meaning of the nuclear softness is discussed, and these nuclear softness values of a signature partner are almost equal.     

Elimination of the Fluctuation in the Observed Transition Energies and Spin Assignments of the Superdeformed Bands in A≈150 Region

The spins of superdeformed bands in A≈150 region are assigned by the ah fitting provided the fluctuation are removed from the observed transition energies. Some typical superdeformed bands are discussed. For some superdeformed bands, the precision of spin assignments by the ah fitting could be improved.     

The Vibrational and Rotational Motions Model of Nucleus(Ⅲ) Study of Superdeformed Bands in A～190 Region

The rotational spectra formula for superdeformed bands is derived from the cranking Bohr-Mottelson Hamiltonian proposed by us.Level spins and transition energies of 24 superdeformed bands in the A～190 region are studied with this formula.The obtained results are satisfactory.     

Odd-Even Difference of Moment of Inertia of NuclearSuperdeformed States in A～190 Region

By fitting the E2 transition spectra of superdeformed bands in A～190 region, the coefficients of Bohr-Mottelson's I(I+1) expansion are determined and moments of inertia of band head are calculated out. All results show that the moments of inertia of odd-A nuclei are systematically larger than those of the neighboring even-even nuclei, and the moments of inertia of odd-odd nuclei are systematically larger than those of the neighboring odd-A nuclei. The odd-even difference of moment of inertia of nuclear superdeformed states is obvious.     

Features of Triaxial Superdeformed Bands in Odd Mass Nuclei Using the Cranked Nilsson–Strutinsky Model

Physics of Atomic Nuclei - The axial asymmetry deformation parameter $$\gamma$$ , the gamma transition energies, rotational frequencies, kinematic and dynamic moments of inertia in triaxial...