函数的H-导数和分形动力学

 给出了函数的Hausdorff测度与H-导数。从而，为开展自给的分形动力学提供了解析的数学工具。同时，给出了分形动力学的演化方程组并做了初步讨论与分析。     

THE U(90) DYNAMICAL SYMMETRY IN LIGHT NUCLEI

In the IBM4,when s.d.g bosons are presented,the symmetry group of the system is U(90) In this paper,the group chain.U₉₀ U₁₅(sdg)×U₆(ST) SU₁₅(sdg)×U₆(ST) SU₅(sdg)× O₆(ST) SO₅(dg)×O₃(S)×O₃(T) O₃(dg)×O₃(S)×O₃(T) O₃(J)×O₃(T) is discussed,the reduction rules and the typical energy spectra are obtained.An example of a spectrum with this dynamical symmetry is found out,where the even-even nucleus ³⁴S and odd-odd nucleus ³⁴Cl are in one multiplet.     

Rare decays B0s,d→l+l－ in a top quark two-Higgs-doublet model

In the framework of T2HDM, we calculated the new physics contributions involving neutral Higgs bosons to the branching ratios of B⁰_s,d→l⁺l^－ (l=e, μ) decays. Comparing the theoretical predictions with the experimental upper-limits, we found that (a) The data of Br(B⁰_d→l⁺l^－) give the upper bound on tanβ: tanβ≤22, while Br(B⁰_s→l⁺l^－) give tanβ≤12 for fixed δ=0°, m_H+=350 GeV, m_H0=160 GeV, m_h0=115 GeV and m_A0=120 GeV; (b) A light neutral Higgs boson mass m_h0 (m_A0) less than 50 GeV (120 GeV) is excluded by the data of branching ratios for B⁰_s,d→l⁺l^－(l=μ) decays with tanβ=10; (c) The bounds on m_h0 and tanβ, or m_A0 and tanβ are strongly correlated: a smaller (larger) tanβ means a lighter (heavier) neutral Higgs boson.

     

C(γ,η)X Reactions and Properties of N*(1535) in Nuclei

The η photon production reaction on nuclei is studied by employing N^*(1535) resonance model. The parameters of the model are extracted by using experimental data of N^* decay channels and fitting γp→ηp reaction cross section. The result shows that the theoretical values are in good agreement with experimental data if M_N*=1550MeV. The total cross section of the η photoproduction on ¹²C is calculated. We find that the width of N^*(1535) in nuclei increases because of corrections of many-body effects, and the interaction between N^* and nuclei has the feature of repulsion.     

THE SPECTROSCOPY OF FOUR-BARYON SYSTEM

In this paper, using SU(6) symmetry theory four-baryon system is discussed and a method of analyzing experimental spectra is provided. Because of the gound states of _ΛΛ⁴H, _ΛΛ⁴He_{, Λ}⁴He and ⁴He are in the same I. R. of SU(6), on can derives masses for _ΛΛ⁴H, _ΛΛ⁴He from the experimental data of _Λ⁴H, _Λ⁴He, and ⁴He. Calculation shows that these J^π=0⁺ double Λ hypernuclei _ΛΛ⁴H, _ΛΛ⁴He are not likely bound states.     

红宝石能谱的理论研究

 本文用限制Hartree-Fock自洽场方法对红宝石进行了计算，得到了单电子分子轨道，在此基础上利用不可约张量方法求解红宝石价电子体系多体Schrodinger方程，得到了与实验相符的红宝石d－d跃迁能谱，标准误差为九百波数。进一步计算了在不同压力下红宝石d－d跃迁能谱。结果表明，能谱中R₁线（⁴A₁→²E）随压力增大产生红移，与实验定性一致。     

Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory

The shape phase transition between spherical U(5) and γ-unstable O(6) nuclei is investigated systemically for the nuclei in the A～130 region by the constrained relativistic mean field theory. By examining potential energy surfaces and neutron Fermi energies, we suggest that ¹³⁶Ba and ^132,134Xe are possible nuclei with E(5) symmetry, which is favored by the observed ratio R_4/2=(E+41－E+01)/(E+21－E+01). While the RMF predicted E(5) symmetry or ^128,130,132Te cannot be supported by the observed ratio R_4/2. Whether these nuclei are critical-point nuclei should further be examined in experiments.     

A MICROSCOPIC ANALYSIS OF THE DIFFERENCE IN ANGULAR MOMENTUM BETWEEN EXCITED AND GROUND BANDS

An analysis for various components included in the difference of angular momentum between excited and ground bands, i(ω), is done carefully. It is pointed out that, generally, i(ω) should read as i(ω)=i_RAL(ω)+i_PR(ω)+i_SC(ω). And the i(ω). corresponding to s-band of the first backbanding in even-even nuclei is really not only the i_RAL(ω). The various components in i(ω) corresponding to s-band for three typical nuclei ¹⁶⁴Er, ¹⁸⁸Hg and ¹⁵⁶Er are estimated quantitatively and microscopicly by using cranked shell model. For well deformed nuclei, i_RAL plays the dominant role, but the contribution of pairing reduction, i_PR, can not be neglected. As for the soft nuclei like ¹⁸⁸Hg, the contribution from shape changes, i_SC, is very important. While for transitional nuclei as ¹⁵⁶Er, both pairing reduction and shape changes will play substantial role.     

Calculation and Analysis of IXK/Iγ(343keV)Ratio and Absolute Intensitiy Calculation of Radiation Data for 175Hf Decay

The method of calculating I_XK/I_γ(343keV)ratio and the analysis and the comparision of experimental measurement for ¹⁷⁵Hf decay are introduced.Based on the data analysis,the emission probability of 343 keV γ-ray, P_γ(343keV)=0.869±0.004,is obtained.Absolute intensities of radiation data for ¹⁷⁵Hf decay are calculated and recommended.     

定义在分形集上函数的H-导数

 分形的生成含有降维与升维两种形式,采用适当的方式总可以对分形集加以定向化,分形的内禀测度是Hausdorff测度。因此,定义在分形集上的函数可以看作是在Hausdorff测度下定义在区间[0, h]。在函数图像也是分形的前提下,依函数的Hausdorff测度的定义,给出了定义在分形集上的函数f(p)关于Hausdorff测度p的导数以及一些性质。     

碱卤晶体热导率与压强的关系

 本文指出，关于碱卤晶体热导率λ与压强p之间关系的经验方程：λ=A+Bp或λ=A+Bp+Cp²，可以由Bridgman参量的定义g=-(d lnλ/dlnV)_T和Tait方程ΔV/V₀=ln(1+βp)/α导出。     

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.     

Fe40Ni40P12B8非晶合金的冲击晶化实验研究

 本文研究了Fe₄₀Ni₄₀P₁₂B₈非晶合金冲击波加载下的晶化行为，冲击波由二级轻气炮发射的告诉弹丸撞击靶产生。实验结果表明：Fe₄₀Ni₄₀P₁₂B₈非晶合金在冲击波加载下，晶化可在加载时间（微秒量级）内发生；晶化的阈值压力在30~50 GPa之间，相应的冲击温度约为510~800 K，晶化析出相与冲击压力有关，低压下析出相是面心立方γ-(Fe, Ni)固溶体和Fe₃(P_0.37B_0.63)化合物，高压下（大于60 GPa）析出相除了面心立方γ-(Fe, Ni)固溶体和Fe₃(P_0.37B_0.63)化合物之外，还包括(Fe, Ni)₃P化合物。     

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.     

Mixing between the 23S1 and 13D1 Ds

Mixing between the 2³S₁ and 1³D₁ D_s is studied within the ³P₀ model. If mixing between these two 1^- states exists, D_s1^*(2700)^± and D_sJ^*(2860)^± could be interpreted as the two orthogonal mixed states with mixing angle θ≈ -80° in the case of a special β for each meson. However, in the case of a universal β for all mesons, D_s1^*(2700)^± could be interpreted as the mixed state of 2³S₁ and 1³D₁ with mixing angle 12° < θ < 21° but D_sJ^*(2860)^± seems difficult to interpret as the orthogonal partner of D_s1^*(2700)^±.     

ON STRUCTURE OF MULTIPARTICLES IN QUARK JETS FOR e+e- COLLIDING

Inclusive distributions of longitudinal momentum and energy ((S/β) (dσ/dx_p⁾and (S/β) (dσ/dx_E⁾) in a quark jat for e⁺ e^- collidiny is calculated (√S～7GeV), fased onrandomly producing wee quarks and phase-space eonsideration. Excellent fits areobtained. In addition, a two-particle correlation dσ/(dx_IEdx_2E⁾ is also given, which ex-pects experimental tests.     

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.     

凝聚炸药中超压爆轰的实验研究

 采用飞片碰撞技术，在TNT/RDX（40/60）炸药中获得了2.5倍于正常爆轰的最大超压值，得到了超压爆轰下爆轰产物物态方程p=Aρ^{k+A₁(p-p_J)}（p－爆压，单位GPa，ρ－密度，单位kg/m³，A=ρ_J/ρ^k_J，p_J=27.06 GPa，ρ_J=2.3×10³ kg/m³，k=2.77，A₁=2.7×10^-3 GPa^-1，下表J代表正常爆轰状态）。该方程还可以较好地描述超压爆轰产物的二次冲击状态。     

APPLICATION OF THE EIKONAL WAVE FUNCTION TO QUASIFREE SCATTERING

In this paper. we have used the Eikonal wave functionφ_E(r)=(2π)^-3/2 exp(ik.r)X(r)whereexp{-i/hv∫_-∞^zV(x,y,z,')dz'}and V=nk/m to investigate the quasifree scattering ⁶Li (p, pd)α with E_p=156 MeV,590MeV and 670 MeV. In V(x, y, z), the nuclear interaction and the Coulomb inte-raction are included. For the case of 156 MeV, the nuclear potential is taken to be the Woods-Saxon type.The result is shown in fig. 1. This result is compared with those obtained by themethod of partial waves. For the cases of 590MeV and 670MeV, a new method is used to describe thenuclear potential, and the results are showh in fig. 3 and fig. 4, respectively.     

First Study of Weak (EC+β+) Decay Branch for the Neutron-Deficient Isotoep 209Fr

²⁰⁹Fr has been produced by irradiation of ¹⁹⁷Au with ¹⁶O from SFC accelarator uia the fusion-evaporation 4n channel.The(EC+β⁺)decay of ²⁰⁹Fr has been studied by a He-jet tape transport system.The decay scheme is proposed for the first time based on γ-t,X-γ-t,γ-γ-t coincidece and γ-γ delay coincidence measurements,which takes account of 20 observed γ ray.Five members of low-lying states in ²⁰⁹Rn can be explained by the multi-plet [(²¹⁰Rn2⁺)(νf_5/2)^－1].The branching ratio for(EC+β⁺) decay of ²⁰⁹Fr has been estimated experimentaly to be(3.0±1.5)%.