Study of Triaxial Superdeformation in ^162Lu

The triaxially superdeformed states in 162Lu are investigated using the three-dimensional total routhian surface calculation, and the deformation parameters and the likely configuration are given. The shell and pairing correction energies are considered respectively, and the formation mechanism of triaxial superdeformation is investigated.

Calculation of triaxial superdeformation in ^(174)Hf

A two-dimensional Total Routhian Surface (TRS) calculation with the fixed hexa- decapole deformation ε4 = 0.03 was carried out for several configurations of 174Hf. Results indicate that the shell corrections have an important contribution to the formation of triaxial superdeformation in 174Hf and some possible configuration assignments are made to the 4 TSD bands experimentally found in 174Hf.

Possible existence of triaxial superdeformation in ～(172,174,176)W

Two-dimensional total routhian surface （TRS） calculations are carried out to determine the triaxial superdeformation （TSD） of the even-even nucleus 174W, and the result indicates that TSD state exists with deformation parameters ε2=0.42 andγ=34.7°. In the same way, the total routhian surfaces for the nuclei ^172,176W are also calculated. It shows that the neutron shell correction energy plays a key role in the formation of TSD nuclei ^172,174,176W, while the high j intruder orbitals and rotational energy are also crucial in the formation mechanism.

A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory

The microscopically constrained relativistic mean field theory is used to investigate the superdeformation for Pb isotopes. The calculations have been performed with the four different interactions NL3, PK1, TM1 and NLSH, and show that there exists a clear superdeformed minimum in the potential energy surfaces. The excitation energy, deformation and depth of the well in the superdef.ormed minimum are comparable for the four different interactions. Furthermore the trend for the change of the superdeformed excitation energy with neutron number is correctly reproduced. The calculated two-neutron separation energy in the ground state and superdeformed minimum together with their differences are in agreement with the available data. The larger energy difference appearing in the superdeformed minimum reflects a lower average level density at superdeformations for Pb isotopes.

Anomalously Large Deformation in Some Medium and Heavy Nuclei

We investigate the properties of the Ce isotopes with neutron number N =60 - 90 and the properties of the heavy nuclei near 242Am within the framework of deformed relativistic mean-field （RMF） theory. A systematic comparison between theoretical results and experimental data is made. The calculated binding energies, two-neutron separation energies, and two-proton separation energies are in good agreement with experimental ones. The variation trend of experimental quadrupole deformation parameters on the Ce isotopes can be approximately reproduced by the RMF model. It is found that there exists an abnormally large deformation in the ground state of proton-rich Ce isotopes. This phenomenon can be the general behavior of proton-rich nuclei on the neighboring isotopic chains such as Nd and Sin isotopes. For the heavy nuclei near ^242 Am the properties of the ground state and superdeformed isomeric state can be approximately reproduced by the RMF model. The mechanism of the appearance of anomalously large deformation or superdeformation is analyzed and its influence on nuclear properties is discussed. Parther experiments to study the anomalously large deformation in some proton-rich nuclei are suggested.

Deexcitation Energy of Superdeformed Secondary Minima as a Probe to Density Dependence of Symmetry Energy

Deexcitation energies of superdeformed secondary minima of odd-odd A u and T1 isotopes are investigated with the relativistic mean field （RMF） model where the isoscalar-isovector coupling is included to change the symmetry energy. It is verified by the theoretical analysis and numerical results that the deexcitation energies of superdeformed secondary minima relative to the ground states in these heavy nuclei are sensitive to differences in the symmetry energy. In particular, the linear correlation between the deexeitation energies of odd-odd Au and T1 isotopes and the neutron skin thickness in 208Pb is established. Moreover, explorations are extended to superdeformed candidates of other mass regions. It is found that the linear correlation can even be established between the deexcitation energies and the symmetry pressure at subsaturation density. These indicate that deexcitation energies can serve as a probe to the density dependence of the symmetry energy.

Formation Mechanism of Triaxial Superdeformed Nucleus ^(160)Yb

By using Total Routhian Surface （TRS） method the deformation of the nucleus ^160Yb is studied. The result shows that the triaxial superdeformed state exists with deformation parameters ε2 = 0.38 and γ = 21°, where proton shell correction energy plays a key role, and the sum of two quasi-proton particle energies gives an additional driving effect. The rotational energy also has an additional role in the formation of triaxial superdeformed.

Quadrupole Pairing Correlations and Moments of Inertia of Superdeformed Nuclei

The Harmonic OseiUator Quadruple Pairing Cranking Hartree-Fock-Bogoliubov（HFB）theoreti-cal model is established and applied to the superdeforrned（SD）rotational states.The reduction and col-lapse of the pairing fields,including Y20,Y21 and Y22 fields at superdeformation and high spins,are stud-ied.It is found that the correct rotational frequency ω-dependence of the pairing fields is crucial for thetheory to reproduce the rising behavior of dynamic moment of inertia J（2） observed in the A=190 region,and the Y21 pairing contributes significantly to reducing the rising rate of J（2） and thus may strongly influ-enee the collective properties of SD nuclei.The calculated J（2） of 192H8 is in good agreement with the ex-perimental data up to （?）ω=0.32 MeV.

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.

Microscopic Mechanism of the ω Variation in Moments of Inertia for the Yrast Superdeformed Bands 194Tl(1a, 1b)

The variation in moments of inertia (J(1) and J(2)) with rotational frequency for the superdeformed bandsin odd-odd nuclei, 194Tl(la,lb), is investigated by using the particle-number conserving method for treating the pairinginteraction (monopole and quadrupole). The observed variations of J(1) and J(2) with ω are reproduced quite well inthe calculation and the contributions from each major shell are clearly displayed.

Identification of Bandhead Spin and Identical Bands for Odd-A Nuclei in A-190 Superdeformed Mass Region

The dynamical moment of inertia is estimated with its even-power expansion of the rotational frequency and in accordance we determine the intermediate spins of the superdeformed(SD)rotational bands.Using Marquardt method of nonlinear least-squares routines,we determine the expansion coefficients by fitting the proposed dynamical moment of inertia with its recent experimental data of the SD nuclei in the A=190 mass region.The comparison between our theoretical and available experimental data for the dynamic moment of inertia and spin shows good agreements. Also,we have calculated the static moment of inertia at three alternative values of spin.The value of spin at which the two moments of inertia are nearly equals is to be regarded as a bandhead spin of the corresponding band.These studies are carried out for eighteen bands of odd-A nuclei of the superdeformed region 190,namely ~(189)Hg(b1),~(191)Hg(b1,b2, b3,b4),~(193)Hg(b2,b3,b5),~(195)Hg(b1,b2,b3,b4),~(193)Tl(b1,b2,b3,b5),~(189)Tl(b1),and~(197)Bi(b1).We also notice the occurrence of identical SD bands with near identical transition energies among the considered SD bands.

Shape Coexistence and Band Termination in Doubly Magic Nucleus ^40Ca

Shape coexistence and band structure near yrast line of the Z ＝ N doubly magic nucleus 40Ca have been investigated by the configuration-dependent cranked Nilsson-Strutinsky approach. The observed normal deformed and superdeformed bands are explained and the terminating states are confirmed by the calculations. The transition quadrupole moment Qt of the calculated superdeformed band is in good agreement with the observed one at high spin. There is shape coexistence within the same configuration. Possible normal deformed and superdeformed bands with rotation around the intermediate axis in several interesting configurations of40Ca are discussed. Possible favored superdeformed band terminations in 38Ca and 38Ar are predicted. The experimental results in 38Ar are discussed simply.

Systematic Study on Triaxial Superdeformed Bands of Hf Isotopes

Properties of the triaxiai superdeformed （TSD） bands of Hf isotopes are investigated systematicaily within the supersymmetry scheme including many-body interactions and a perturbation possessing the SO（5） （or SU（5）） symmetry on the rotational symmetry. Quantitatively good results of the γ-ray energies, the dynamical moments of inertia, and the spin of the TSD bands in Hf isotopes are obtained. It shows that this approach is quite powerful in describing the properties of the triaxial superdeformation in Hf isotopes.

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 massregion are investigated system-atically within the supersymmetry scheme including many-bodyinteractions 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. Itshows that this approach is quite powerful in describing odd-odd nuclei in A ～ 80 mass region.

Study on Superdeformed Bands of ^(152)Dy and Its Neighboring Nuclei

152^Dy is the first observed superdeformed nucleus, whose band structure reflects the typical distribution of high j low Ω orbitals of superdeformed nuclei in A-150 mass region. The particle-number conserving treatment of the cranked shell model with monopole and quadrupole paring interactions is adopted to investigate the observed six superdeformed bands in 152^Dy. The π[523]7/2 orbital is emphasized for the first time to interpret the microscopic structure of band 2 and 3 of 152^Dy. A new comprehension is proposed on the basis of ever existing experimental and theoretical results, and the reliability is illustrated by several superdeformed bands of neighboring nuclei.

Description of Properties of Triaxial Superdeformed Bands in Odd-A Lu Isotopes

Properties of the triaxial superdeformed （TSD） bands of odd-A Lu isotopes are investigated systematically within the supersymmetry scheme including many-body interactions and a perturbation possessing the S0（5） （or SU（5）） symmetry on the rotational symmetry. Quantitatively good results of the γ-ray energies, the dynamical moments of inertia and the spin of the TSD bands in odd-A Lu isotopes are obtained. The calculation shows that the competition between the pairing and anti-pairing effects exists in these TSD bands. Meanwhile, the SU（3） symmetry in TSD bands are broken more seriously than in superdeformed （SD） bands.

New Method for Spin Assignment of Superdeformed Rotational Bands

A new method for spin assignment of superdeformed rotational bands is proposed and it turns out to be more efficient than other methods used before. The application is made to superdeformed bands in A ～ 190 and A ～ 150 mass regions. By analyzing the standard deviation of the fixed γ-ray energies of an SD band in different methods,the advantage of the present method over the other methods is presented. This method brings then a comprehensive interpretation of the methods used in spin assignment.

Total Routhian Surface Calculations on Hf Isotopes

The two-dimensional total routhian surface calculations have been carried out to stud）, the triaxial superdeformed structure of a neutron-rich nucleus ^173 Hf firstly. In particular the effects of the rotational frequency ω and pairing-energy gap parameter A are discussed in detail in the course of shaping its triaxial superdeformation; additionally the neutron-shell correction energy is analyzed with emphasis in the confirmed triaxial superdeformed nucleus ^173Hf. Finally, more systematical results have been investigated for some confirmed superdeformed nuclei experimentally and a few predicted triaxial superdeformed nuclei theoretically with quadropole deformation ε2 ≈0.4 and triaxial deformation γ≈20° or 30° in the Z = 72 region.

Configuration Assignment of Superdeformed Bands in Odd-A Hg nuclei

-By using particle-rotor model,the configuration of the superderformed(SD)bands in odd-A Hg nuclei is analysed.It is shown that the electromagnetic transitionproperties of the SD bands can be used to further identify the configuration.

Level Spin Assignment Of Superdeformed Bands for A～190 Region

Using the expression of level energies of rotational bands and least-squares fitto cascade gamma transition energies of superdeformed bands,level spins of 27superdeformed bands for 13 nuclei in.4～190 region are assigned and compared withthose of others.