Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei

The variations of moments of inertia of superdeformed (SD) bands ¹⁹⁴Hg(1)and ¹⁹²Hg(1) with angular momentum (rotational frequency) are investigated using the particlenumber conserving (PNC) method for treating the cranked shell model. Calculations show that if both the monopole and Y₂₀ quadrupole pairing forces are taken into account, the observed co variation of the moments of inertia of ¹⁹⁴Hg(1) and ¹⁹²Hg(1) can be reproduced very well both in the low-and high- ranges, in particular the J⁽²⁾ downturn of ¹⁹⁴Hg(1) and the flattening in J⁽²⁾ of ¹⁹²Hg(1) at>0.40MeV. On the contrast, the calculated J⁽²⁾'s with the Y_2±1 or Y_2±2 quadrupole pairing forces are in disagreement with the experiments. The microscopic mechanism of the co variation of J⁽²⁾ is clearly exhibited in the PNC calculation (the contributions to J⁽²⁾ from various major Shells and individual cranked Nilsson orbitals, the occupancy of each cranked Nilsson Orbital etc). The variation of moment of inertia is the result of the competition among the shell effect (single particle motion in a deformed potential), pairing correlation, Pauli blocking effect and Coriolis (anti-pairing) interaction.     

U(B)(6)×U(v)(12)×U(π)(4) DYNAMICAL SYMMETRY IN ODD-ODD NUCLEI

SO^(Bvπ)(6) limit of U^(B)(6)×U^(v)(12)×U^(π)(4) dynamical symmetry in odd-odd nuclei is discussed Energy formula and wave functions are obtained,and exaetd expressions for E₂ trasition rates and and one-nucleon transfer intensities are derived.The spectra of ¹⁹⁸Au₁₁₉ and ¹⁸⁸Ir₁₁₁ are compared with the exprimental values.     

Study of Signature Inversion in the πi13/2 νi13/2Bands of Odd Odd Nuclei

High-spin states in odd-odd nuclei of ^176,178Ir and ¹⁸²Au have been studied experimentally using heavy-ion- induced fusion-evaporation reactions and standard in-beam γ-ray spectroscopic techniques. Rotational bands built on the πi_13/2 νi_13/2 configuration have been observed. In addition, on the basis of level spacing systematics, spin assignments have been proposed for the πi_13/2 νi_13/2 band in ¹⁸⁴ Au,which was reported without spin assignments in previous study. It is pointed out that the πi_13/2 νi_13/2 bands in ^176,178Ir and ^182,184Au present a low-spin signature inversion. In the theoretical framework of 2-quasiparticle plus rotor model with p- n residual interaction, the signature inversion phenomenon in the πi_13/2 νi_13/2 bands has been discussed qualitatively. Theoretical investigations have been performed for the πh_9/2 νi_13/2 and πi_13/2 νi_13/2 bands using the cranked shell model. It is found that the signature inversions in both configurations can be well reproduced using the pairing and deformation self-consistent cranked Wood-Saxon calculations.     

Q2-Rescaling Parameters’Empiric Formula of the Double Q2-Rescaling Model

We presented a Q²-rescaling parameters′empiric formula of the Q²-rescaling model, in which we established the connection between the Q²-rescaling parameters ξ_i(i=V,S,G) and the mean binding energy in nucleus. By using the formula, we can get the Q²-rescaling parameters for various nuclei with A>12, and thus further calculate the relevant nuclear process and make out prediction.     

Study on Deformation and Shape Coexistence for 188Pb

The deformation and shape coexistence in ¹⁸⁸Pb have been investigated in terms of the Projected Shell Model. Comparing the experimental data with the calculated results, it is shown that three shape configurations of sphere (Z=82 shell closure), oblate (two particle-two hole in proton h_9/2 orbital) and prolate (multi-particle-hole)coexist each other in the low-lying excited states and the prolate band exhibits a mixture between two kinds of multi-particle-hole configurations, which means that the neutron i_13/2 alignment happens gradually in this case. The mixing is discussed and the mixing coefficients are given. The oblate band structure is predicted and the 2⁺ prolate state is estimated to be in the energy range of 804—80keV.     

Experimental Study of Resonance f2(1270) in the J/ψ Hadronic Decay

Based on the 2.5 million J/ψ's collected by the BES at BEPC,through the hadronic decay J/ψ→ωf₂(1270),f₂(1270)→π⁺π^－,ω→π⁺π^－π⁰,the properties of the resonance f₂(1270) are studied:its mass,width,and branching ratio.the angular distribution is fitted with maximum likelihood methood,determining its.J^PC=2⁺⁺ and giving in the first time the helicity amplitude ratios of this process as:x=0.99±0.29; y=－0.24±0.17; z₁=0.90±0.57;z₂=0.56±0.22.     

THE BAND 2 OF NUCLEI 156Er AND 158Er

The mechanism of the formation of the band 2 in nuclei ¹⁵⁶Er and ¹⁵⁸Er has been discussed in the framwork of VMI model.     

THE REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS

A relativistic equation of motion of a two particle system under the constraints p_i²-m_i²-U(x²)=0.(i=1,2), where U(x²) is an infinite spherical square well poten-tial, is applied to the SU(4) quark model of mesons. A set of linear mass relations areobtained. Instead of the linear relation between J and M², the Regge trajectory ob-tained is a relation between p_nl² and M², where ζ_nlπ are zeros of the spherical Besselfunctions. The new trajectory seems more satisfactory than the former one.     

THE MULTIBAND MIXING AND THE i(ω)

The effect for the mixing of the three-band, the g, γ and β bands, on the i(ω) is discussed. The decreasing behavior for i(ω) after some value is interpreted, and it is shown that near the crossing point (ω_c) of the s and g bands, rotation-aligned angular momentum of the quasiparticle is only a part of the total i(ω).     

The phenomenon of nucleon emission at high angular momentum states of fused compound systems

Nucleon emission from high spin fused compound systems is analyzed in the framework of the statistical theory of hot rotating (STHR) nuclei. This is an elaborate version of our earlier work and we present our results for¹⁵⁶Er,¹⁶⁶Er,¹⁶⁸ Yb and¹⁸⁸Hg. We predict an increase in neutron emission for¹⁶⁶Er due to the abrupt decrease in neutron separation energy aroundI ≈55ℏ. Since the drop in the separation energy is closely associated with the structural changes in the rotating nuclei, relative increase in neutron emission probability around certain values of angular momentum may be construed as evidence for the shape transition. A similar effect is predicted for¹⁶⁸Yb aroundI ≈55ℏ. We also extend the microscopic cranked Nilsson method (CNM) to hot nuclear systems and compare the results with that of the STHR method. The two methods yield different results for triaxially deformed nuclei although for biaxial deformations the results are identical. This is illustrated for¹⁸⁶Hg.     

Ultrahigh Spin Structures in 157,158,159Er

Rotational structures at ultrahigh spin in ^157,158,159 Er have been investigated with the configuration-dependent cranked Nilsson-Strutinsky approach. Configurations of observed bands are assigned and the corresponding deformations are given theoretically. The calculations suggest that one of ultrahigh spin bands in ^158 Er is triaxial highly deformed and the other is normal-deformed, while both ultrahigh spin bands in ^157Er are suggested to be triaxial highly deformed. The possible ultrahigh spin bands in ^159Er are predicted to be triaxial highly deformed and have shape coexistence in the same configuration. The configurations with two neutron holes in the Nose = 4 orbitals and two neutron holes in the h11/2 orbitals in ^159Er are favoured for ultrahigh spin states but unfavoured for band termination, which is similar to ultrahigh spin bands in ^157,15SEr.     

THE DEPENDENCE OF OVERLAP INTEGRAL ON QUARK MASS IN BETHE-SALPETER THEORY

In the literature, the overlap integral of a transition (e.g. 1^-→0^-+γ) is usuallywritten asI = ∫d³xe^iσx/2φ_f^*(x')φ_i(x) Using Bethe-Salpeter equation with instantaneous approximation, we arrive at adifferent result which depends obviously on the mass of the quarks. Our result willapproximate the above expression only when the binding energy can be neglected.     

The Spin Effect of Antiproton-Nucleus Inelastic Collison

If the antiproton optical potential is inclusive of the spin orbit interaction term,the A(p,p)A* inelastic scattering not only can excited the normal parity states,but also can excited the abnormal parity states.There are also induced the polarization P_f(θ) at the inelastic scattering.In the framework of DWIA,we derived the inelastic scattering cross section (dσ/dΩ)_f,i,and polarization P_f(θ),and calculated the (dσ/dΩ)_f,i, and P_f(θ) for ¹²C(p,p)¹²C* with 2⁺,3^－ and 1⁺ states at antiproton energies of 46.8 and 179.7MeV.They fited experiment data quite well.Due to the abnormal partity states in the inelastic process have been measured,the spin orbit term can not be neglect.     

Description of the New Nuclide 259Db and Its α-Decay Chain in Relativistic Mean Field Theory

The new nuclide ²⁵⁹Db and its α decay chain are systematically studied in the framework of the relativistic mean field (RMF) theory with NL3 and TM1 effective interactions. The nuclide ²⁵⁹Db and its α-decay daughter nuclei are calculated in a RMF framework with and without the pairing correlation. With the pairing gaps obtained from the RCHB, the deformed RMF+BCS has been carried out for these nuclei. It has been found that the DRMF+BCS well reproduces the data and implies that the new nuclide ²⁵⁹Db and its α decay daughter nuclei are highly deformed. The α-decay energy Q_α for different channel has been given and it seems that the ground state to ground state Q_α values from DRMF+BCS reproduce the data well. Furthermore the single particle levels of the α decay chain are studied carefully and the explanation for the stability is also presented.     

MICROSCOPIC CALCULATION OF THE INERTIA IN HEAVY NUCLEI

A realistic calculation of the inertia for ²³⁶U fisson based on the linear response theory is presented, in which the single particle states are provided by Nilsson model. The dependence of the nuclear inertia M_δiδi on the collective variables δ₂, δ₄ is studied at the range of certain nuclear temperature (0—1 MeV). The pairing effect and the shell effect on the nuclear inertia are discussed. The calculated results show a very prominent structure at level crossing points and when acrossing the critical temperature.     

Study of 1/2[660](πi13/2) Rotation Band in 179Au

High-spin states in ¹⁷⁹Au have been studied experimentally using the ¹⁴⁹Sm(³⁵Cl,5n) heavy-ion fusion-evaporation reaction at beam energies of 164—180MeV. Measurements of γ-ray excitation functions, X-γ coincidences and γ-γ-t coincidences were performed with 13 BGO(AC)HPGe and 3 LOAX detectors. Based on these measurements, a rotational band built on the 1/2[660](πi_13/2) Nilsson state has been established for the first time, and this band has been assigned to ¹⁷⁹Au according to the systematic of level structure in odd-A Au nuclei. Properties of the 1/2[660](πi_13/2) band in odd-A Au nuclei are discussed with an emphasis on the band-head energy while changing the neutron number.     

Multi-channel Coupling in the Hadronic Decay Process J/ψ→ωπ+π－

The coupling problem of the three different intermediate processes J/ψ→ωf₂(1270),f₂→π⁺π^－ and J/ψ→b₁^±(1235)π⁺,b₁^±→ωπ^± included in the hadronic decay process J/ψ→ωπ⁺π^－ is discussed.The consideration of the coupling effect is very important for measuring the parameters of the resonances f₂ and b₁^± and the helicity amplitude ratios of these reactions precisely.     

Single Particle Schr dinger Fluid and Moments of Inertia of Deformed Nuclei

We have applied the theory of the single-particle Schrodinger fluid to the nuclear collective motion of axially deformed nuclei. A counter example of an arbitrary number of independent nucleons in the anisotropic harmonic oscillator potential at the equilibrium deformation has been also given. Moreover, the ground states of the doubly even nuclei in the s-d shell ²⁰Ne,²⁴Mg,²⁸Si,³²S and ³⁶Ar are constructed by filling the single particle states corresponding to the possible values of the number of quanta of excitations n_x,n_y, and n_z. Accordingly, the cranking-model, the rigid-body model and the equilibrium-model moments of inertia of these nuclei are calculated as functions of the oscillator parameters ω_x,ω_yand ω_z which are given in terms of the non deformed value ω00 , depending on the mass number A, the number of neutrons N, the number of protons Z, and the deformation parameter β. The calculated values of the cranking-model moments of inertia of these nuclei are in good agreement with the corresponding experimental values and show that the considered axially deformed nuclei may have oblate as well as prolate shapes and that the nucleus ²⁴Mg is the only one which is highly deformed. The rigid body model and the equilibrium model moments of inertia of the two nuclei ²⁰Ne and ²⁴Mg are also in good agreement with the corresponding experimental values.     

INVESTIGATION OF THE NUCLEAR SHADOWING EFFECT IN THE SMALL x REGION

In this paper,we analyse the spatial overlapping behavior of sea quarks of neighboring nucleons in nuclei in the small x region and give a relation between the nuclear shadowing factor R(x,Q²,A) and the spatial overlapping factor ΔV_A(x)/V_A(x).By using this nuclear shadowing factor R(x,Q²,A),we calculate the ratios of the average nuclear structure functions of nuclei ¹²C、⁶³Cu and ¹¹⁶Sn,to the deuteron structure function and obtais a better agreement between the calculated result and the experimental data.     

On the Difference of High Spin Band Structure Between I and Ce Isotopes

It has been predicted that in nuclei with Z=52－56,there are many low-lying oblate and prolate rotational bands.Experimental investigation has been carrying out for the high spin band structure in serial I and Ce isotopes recently.It is found along with the prolate bands,there do exist oblate bands for proton h_11/2,g_7/2 and d_5/2,configurations in I.The band termination (non-collective oblate shape) was found in ^119,121I as well.All the prolate band structure was found in Ce.Further theoretical calculation was done with newly fitted Nilsson κ and μ parameters.Results show that the absolute values of shell energy and self-consistent pairing energy for oblate shape are always lager for I than for Ce.Besides,the band head oblateprolate energy difference is much in favor of oblate shape for I than for Ce.All these results are related to the existence of an oblate 54 gap in proton single particle diagram.