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.     

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.     

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.     

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.     

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.     

Pairing Field and Moments of Inertia of Superdeformed Nuclei

We have systematically analysed the dynamic moments of inertia of the experimental superdeformed(SD)bands observed in the A=190,150 and 60-80 mass regions as functions of rotational frequency,By combining the different mass regions,the dramatic features of the dynamic moments of inertia were found and explained based on the calculations of the pairing fields of SD nuclei with the anisotropic harmonic oscillator quadrupole pairing Hartree-Fock-Bogoliubov model.     

Exact Treatment of l≠0 States

Using the basic ingredient of supersymmetry, we present a general procedure for the treatment of quantum states having nonzero angular momenta.     

Skyrme Hartree-Fock模型对中等质量超形变超核的研究（英文）

采用Skyrme Hartree-Fock 模型和微观的核子-超子相互作用对Ar 同位素和40Ca 及相应超核的超形变态进行了研究,计算结果表明,基态的Λ 超子分离能比激发态的大。这一结果与反对称化分子动力学模型的结果一致,而与相对论平均场的结果相反。这区别主要来源于不同模型中不同的相互作用导致的核心核及相应超核密度分布的不同。The superdeformed (SD) states in medium heavy hypernuclei with core nuclei of Ar isotopes and 40Ca are studied in the frame of Skyrme Hartree-Fock (SHF)+ BCS model together with a microscopic ΛN interaction. The calculation indicates that the Λ separation energy S_Λ of ground state is larger than that of SD state. The result is consistent with the antisymmetrized molecular dynamics (AMD) calculation, but inconsistent with that of relativistic mean field (RMF). The difference comes from the different interaction and density distribution in the core nuclei and the corresponding hypernuclei.     

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.     

Spectrum of b-baryons: color hyperfine interaction vs. experiment

I discuss several recent highly accurate theoretical predictions for masses of baryons containing the b quark,especially Ωb （ssb） very recently reported by CDF.I also point out an approximate effective supersymmetry between heavy quark baryons and mesons and provide predictions for the magnetic moments of Λc and Λb .Proper treatment of the color-magnetic hyperfine interaction in QCD is crucial for obtaining these results.     

Spin and pseudospin symmetries of the Dirac equation with shifted Hulthén potential using supersymmetric quantum mechanics

In this paper, we obtain approximate analytical solutions of the Dirac equation for the shifted Hulthén potential within the framework of spin and pseudospin symmetry limits for arbitrary spin–orbit quantum number κ using the supersymmetry quantum mechanics. The energy eigenvalues and the corresponding Dirac wave functions are obtained in closed forms.     

Occurrence of Superdeformation in Even-Even Isotopes of Zn

Occurrence of superdeformed (SD) shape from the relationship between the collective rotation and the pairing correlations is investigated in the relativistic mean field theory framework. It is found that pairing correlation plays an important role in the occurrence of SD shape. It is also shown that the SD band of 66^Zn is more difficult to be observed than that of 60^Zn experimentally.     

Upgrade of RIBLL

The synthesis of the super-heavy nuclei and the study of their properties attract more and more attentions in recent years. The He-jet MG wheel technique with which ^259Db and ^265Bh were synthesized at IMP has reached its limits due to the short life-time and rare amount of the products. In order to identify the nuclei with higher Z, a device for separating the interested nuclei from the heavy background is definitely needed.     

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.     

Systematic study of α preformation probability of nuclear isomeric and ground states

In this paper, based on the two-potential approach combining with the isospin dependent nuclear potential, we systematically compare the α preformation probabilities of odd-A nuclei between nuclear isomeric states and ground states. The results indicate that during the process of α particle preforming, the low lying nuclear isomeric states are similar to ground states. Meanwhile, in the framework of single nucleon energy level structure, we find that for nuclei with nucleon number below the magic numbers, the α preformation probabilities of high-spin states seem to be larger than low ones. For nuclei with nucleon number above the magic numbers, the α preformation probabilities of isomeric states are larger than those of ground states.     

Empirical formula for β~--decay half-lives of r-process nuclei

Experimental data ofβ--decay half-lives of nuclei with atomic number between 20 and 190 are investigated.A systematic formula has been proposed to calculateβ~--decay half-lives of neutron-rich nuclei,with a particular consideration on shell and pair effects,the decay energy Q as well as the nucleon numbers(Z,N).Although the formula has relatively few parameters,it reproduces the experimentalβ~--decay half-lives of neutron-rich nuclei very well.The predicted half-lives for the r-process relevant nuclei obtained with the current formula serve as reliable input in the r-process model calculations.     

Isovector Giant Dipole Resonance of Stable Nuclei in a Consistent Relativistic Random-phase Approximation

A fully consistent relativistic random-phase approximation is applied to study the systematic behaviour of the isovector giant dipole resonance of nuclei along the β-stability line in order to test the effective Lagrangians recently developed. The centroid energies of response functions of the isovector giant dipole resonance for stable nuclei are compared with the corresponding experimental data and the good agreement is obtained. It is found that the effective Lagrangian with an appropriate nuclear symmetry energy, which can well describe the ground state properties of nuclei, could also reproduce the isovector giant dipole resonance of nuclei along the β-stability line.     

Dynamically Broken Supergauge Symmetries

The dynamical breaking of the supergauge symmetries in the massless supergauge Wess-Zumino model is discussed without adding the Fayet-Iliopoulos term to the Lagrangian. It is shown, in terms of the Nambu-Jona-Lasinio mechanism, that the supersymmetry breaking and the gauge symmetry breaking can be realized dynamically. It is also shown that the dynamical breaking moves the vacuum expectation values of two scalar fields away from zero. In order to restore the symmetry of the vacuum, one of the two scalar fields is translated and at the same time the mass spectrum is changed too.     

N = 4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra

In this paper N = 4 supersymmetry of generalized Morse oscillators in one dimension is studied. Both bound states and scattering states of its four superpartner Hamiltonians are analyzed by using unitary irreducible representations of the noncompact Lie algebra su（1,1）. The spectrum-generating algebra governing the Hamiltonian of the N = 4 supersymmetric Morse oscillator is shown to be connected with the realization of Lie superalgebra osp（1,2） or B（0,1） in terms of the variables of a supersymmetric two-dimensional harmonic oscillator.     

Evaluation of Coulomb Energy Difference for Light Mirror Nuclei Using Slater—Type Orbitals

Behavior of the Coulomb energy difference for light nuclei is explained in terms of the different values of the average Coulomb interaction between two particles.Coulomb energy difference according to shell model of light mirror nuclei in the Coulomb and exchange integrals in the formula can be explained with exponential-type wavefunctions.In this study,using the one-center expansion of exponential-type wavefunctions in terms of Slater-type orbitals with the same center,we derived formula for Coulomb energy difference of light mirror nuclei.