强子衰变过程J/ψ→V+X,X→V+V的角分布分析

本文讨论了J/ψ的强子衰变过程J/ψ→V₁+X,X→V₂+V₃,V₂,V₃→2P(或3P)(其中V_i代表矢量介子,P代表赝标介子).对于具有不同自旋-宇称J^P的中间态X,得到了相应的角分布的螺旋度形式.这些公式对于利用BEPC上得到的J/ψ事例,确定上述过程中间态X的自旋-宇称是有帮助的.     

e++e－→J/ψ→V+X,X→3P过程的角分布螺旋度形式

本文给出了过程e⁺+e^－→J/ψ→V+X,X→P₁+P₂+P₃(V和P_i分别代表矢量介子和赝标介子)的角分布螺旋度形式,为确定上述过程中间态X的自旋和宇称提供了理论公式.     

用推广的矩分析方法确定过程J/ψ→V1,X→V2+V3中粒子X的自旋-宇称

本文用推广的矩分析方法对J/ψ的强衰变过程J/ψ→V₁,X→V₂+V₃,V₂、V₃→2P或3P(其中V_i代表有质量的矢量粒子,P代表赝标介子)进行了讨论.对于具有不同自旋和宇称的中间态X,给出了相应的矩的表达式.在非相对论情况下,计算了过程X→V₂+V₃的螺旋度振幅值.通过比较部分矩的理论值和实验值,可以确定中间态粒子X的自旋、宇称和所处的分波态.     

J/ψ三级二体强衰变过程的自旋-宇称分析

本文给出了级联衰变过程e⁺+e^－→J/ψ→V+X,X→P₁+Y,Y→P₂+P₃(V代表矢量介子,P_i代表赝标介子)的角分布螺旋度形式,为通过J/ψ三级二体强衰变过程对中间态X粒子进行自旋-宇称分析提供理论公式.     

J/ψ→V1+X,X→γ+V2中玻色共振态X的自旋和宇称的确定

给出了过程J/ψ→V₁+X,X→γ+V₂,V₂→2P或3P(V₁和V₂代表矢量介子,P代表赝标价介子)的角分布公式.从而可以区分玻色共振态X的自旋,并在一定条件下确定它的空间宇称.     

瞬时相互作用近似下介子结构波函数的一些探讨(Ⅱ)——赝标介子和矢量介子的谐振子模型

本文在文献[1]基础上讨论由一对正反层子组成的介子结构波函数。假定层子质量很重,相互作用是谐振子位阱,旋量耦合方式符合一定的要求,则可以普遍给出以下结果:(1)自动给出质量谱的平方等距关系,又可以避免通常谐振子基态能级过高的困难;(2)如果层子原始弱流为V-A型,层子原始电磁流无反常磁矩项,可以解决赝标介子二体轻子衰变Cabibbo角的不谐调和矢量介子衰变到e⁺e^-几率比的困难;(3)只要在相互作用中引入很小比例的SU(3)破坏项,就足以解释现有介子质量的SU(3)分裂。这就对为什么K-π质量差3.5倍却在许多情况下表现有相当好的SU(3)对称性给以一个合理解释;(4)方程的展开和波函数都有较好的近似性;(5)介子中层子反层子分布半径与现有关于介子电磁半径的实验量级是可以谐调的;(6)介子结构波函数的旋量结构和动量结构都是完全确定的。     

在J/ψ衰变与ρ→π+π–π0衰变中的ρ–ω干涉

通过分析J/ψ→π⁺π^-π^{0π0来研究ρω干涉.利用描述J/ψ衰变的一般的唯象模型对PDG-2002关于J/ψ衰变到PP和PV的实验数据做了拟合(P表示赝标介子,V表示矢量介子) ,得到ρ0→π+π-π0反常大的分支比～10-3—10-2.理论的分析结果也与这一反常大的分支比相符合.同时,得到了合理的ηη′混合角和组分夸克质量比:θ=-19.68°±1.49°,m_u/m_s≈0.6 .}     

层子模型里介子的分类

在前一工作中我们应用层子模型基本上解释了所有已观察到的较肯定的稳定和不稳定的介子,指出这些介子都可看作是一对层子和反层子在赝标型简谐振子位阶中J~P=0~-和1~-的态以及这两个态的轨道角动量l=1和2的激发态。在这篇短文中,我们将较详细的给出这个结论在实验上的主要依据。     

钒氧卟啉正负离子的结构畸变与电子-振动耦合的DFT研究

用PBE1PBE方法研究了钒氧卟啉一价阴离子([VOP]^-)、一价阳离子([VOP]⁺)的单态和三重态结构. 结果表明[VOP]^-和[VOP]⁺的最稳定电子态均为三重态,其未配对电子一个占据钒的d_xy轨道,另一个占据卟啉环的π轨道,因此两者均为π-自由基. 中性分子(VOP)的双重态最稳定,其未配对电子占据钒的d_xy轨道. 双重态VOP具有较高的C_4v对称性,而三重态[VOP]^- 离子由于发生姜-泰勒效应对称性降低为C_2v. 计算了[VOP]^-姜-泰勒活性振动模式的电子-振动耦合常数,并用前线KS轨道的节面分布解释了姜-泰勒畸变沿特定简正模式发生的原因. 三重态[VOP]⁺ 阳离子的卟啉环发生键长交替变化,构型畸变起源于电子态近简并引起的赝姜-泰勒效应,导致其对称性从C_4v降低为C₄,其结构变化可以用重组的前线KS轨道的节面分布解释.     

相对论层子模型中的介子和重子波函数

本文从层子模型的基本假定出发,对介子和重子波函数进行了探讨。文中讨论了介子、重子这样的强耦合束缚态的物理特性,指出“层子对”的产生效应对波函数的贡献是重要的。文中给出了具有任意角动量的介子波函数的一般形式。在质心系中,假定介子波函数和重子波函数具有近似的SU₆对称性质,得到了在质心系具有SU₆对称性质的介子波函数和基态重子波函数的一般形式,禁戒了实验中不出现的介子态。在质心系假定了O₃?SU₆对称性,写下了在质心系具有这种对称性的几个低激发态重子的波函数。在每一个O₃?SU₆多重态中的介子和重子波函数都含有两个洛仑兹协变的空间函数,对强耦合的束缚态,由于“层子对”的产生效应是重要的,这两个不变函数一般是不相等的。由于只在质心系假定了SU₆和O₃?SU₆对称,因而可以使波函数具有洛仑兹协变性,即运动系中这种对称性是不存在的。     

瞬时相互作用近似下介子结构波函数的一些探讨(Ⅰ)——瞬时相互作用下介子波函数的一般性质

本文从一对正反费米子结合成束缚态的Bethe-Salpeter方程(以下简称B-S方程)出发,假定正反层子间相互作用可以近似地用质心系瞬时相互作用描写,得到的主要结论如下:(1)B-S方程的求解可归结为在质心系三维空间内进行。描写赝标介子和矢量介子的波函数独立旋量分量的个数分别由4个和8个减少为2个和4个;(2)如果相互作用是空间球对称的,其旋量结构是对角耦合,从赝标介子方程中可以直接看到,束缚态质量作为本征值在方程中是以平方形式出现,同时又可避免四维方程中负激发的困难;(3)在瞬时相互作用近似下给出的结构波函数,可以用来研究束缚态的质量谱和只涉及质心系的过程。     

THE WAVE EQOATIONS FOR MESONS AND BARYONS IN THE STRATON MODEL

Quantum field theory is applied to meson states formed from a pair of straton and anti-straton, and also baryon states formed from three stratons according to the straton model. Two types of effective potential are also introduced which interact with the stratons through Dirac matrices γ₅ and γ₄ respectively. The rest mass of the stratons is assumed to be very heavy. The resulting wave equations give very satisfactory account of the mass spectra of the ground and excited states of various mesons and baryons.     

WAVE FUNCTIONS WITHOUT SU6 SYMMETRY IN THE STRATON MODEL AND THEIR APPLICATIONS

On the basis of the straton model^[1],using the general groundstate wave functionsof mesons and baryons given in ref.[2],we have constructed under some specific as-sumptions the meson and baryon wave functions without SU₆ symmetry.We applythese wave functions to explain the mesonic and baryonic properties of the electroma-gnetic and weak interactions;many results obtained are in agreement with the experi-ments.By using the 1/2⁺-baryon wave functions without SU₆ symmetry,we obtain ananomalous magnetic moment for the proton.There is no need to introduce an ano-malous magnetic moment for the straton in the effective Hamiltonian of electromag-netic interaction between stratons.Similarly,the magnetic moment of the neutroncan also be explained.     

FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS

We continue the investigation of the equation and its solutions for the bound states of mesons discussed previously, emphasizing on large values of v, a parameter characterizing the shape of the potential. The results show that the dependence of the eigenvalues λ and some related physical quantities upon the potential parameters v and E is approximately the same as in our previous work. But the average radii of the bound mesons cease increasing as v increases. For each value of v, there exists a maximum average radius√<R²>_max, and all these √<R²>_max are approximately equal to 12.6 M^-1 （M being the mass of the straton）, which is much smaller than the experimental value of the radius of the π meson. However, if we assume, in addition to the attractive potential, there exists, for the straton-anti-straton superstrong interactions, also a repulsive potential, and, in particular, if we introduce a differencetype potential V_D（r） corresponding to the potential V_v（r） in our previous work, the calculated radii of the bound mesons do approach the experimental value.     

A Light-Cone QCD Inspired Meson Model with a Relativistic Confining Potential in Momentum Space

For describing the radial excited states a relativistic confining potential in momentum space is included in the meson effective light-cone Hamiltonian. The meson eigen equations are transformed from the front form to the instant form and formulated in total angular representation. Details about numerically solving these equations are discussed, mainly focusing on treating singularities arising from one-gluon exchange interactions and confinement. The results of pseudo-scalar mesons indicate that the improved meson effective light-cone Hamiltonian can describe the ground states and radial excited states well. Some radial excited states are also predicted and waiting for experimental test.     

Nuclear bound states of ω mesons

Models based on chiral SU(3)_l ⊗ SU(3)_r symmetry and vector meson dominance suggest an attractive potential for the ω meson in a nuclear medium. We discuss the feasibility of producing nuclear bound states of ω mesons using (d, ³He) and pion induced reactions on selected nuclear targets.     

A relativistic quark model for mesons with an instanton-induced interaction

We present new results of a relativistic quark model based on the Bethe-Salpeter equation in its instantaneous approximation. Assuming a linearly rising confinement potential with an appropriate spinorial structure in Dirac space and adopting a residual interaction based on instanton effects, we can compute masses of the light mesons up to highest observed angular momenta with a natural solution of the U _A(1) problem. The calculated ground states masses and the radial excitations describe the experimental results well. In this paper, we will also discuss our results concerning numerous meson decay properties. For processes like π⁺/K ⁺↦e ⁺υ_eγ and 0^-↦γγ at various photon virtualities, we find a good agreement with experimental data. We will also comment on the form factors of the K _?3 decay and on the decay constants of the π, K and η mesons. For the sake of completeness, we will furthermore present the electromagnetic form factors of the charged π and K mesons as well as a comparison of the radiative meson decay widths with the most recent experimental data. Received: 28 August 2000 / Accepted: 12 September 2000     

Tensor meson exchange at low energies

We complete the analysis of meson resonance contributions to chiral low-energy constants of O(p⁴) by including all quark–antiquark bound states with orbital angular momentum ≤1. Different tensor meson Lagrangians used in previous work are shown to produce the same final results for the low-energy constants, once QCD short-distance constraints are properly implemented. We also discuss the possible relevance of axial-vector mesons with odd C-parity (J^PC=1^+-).     

The Nambu,Jona-Lasinio model and low energy effective meson Lagrangians

Using standard techniques, the Nambu-Jona-Lasinio Lagrangian with its chirally invariant four-fermion couplings is transformed into a bosonized form which includes scalar, pseudo-scalar, vector and axial-vector fields. Then, after eliminating the scalar and axialvector fields in an appropriate way, we obtain the Lagrangian given by Bando et al. based on the “hidden” local symmetry approach, except that in the present approach the free parametera of their model is now uniquely given by a=(1? M _V ² /M _A ² )^?1 in terms of the vector and axial-vector meson massesM _V andM _A. The value ofa=2, which led them to remarkable phenomenological successes is therefore directly connected with the Weinberg mass relation M_A=√2M_V in this model. The formal equivalence between the hidden symmetry approach and the massive Yang-Mills scheme is clearly demonstrated in the present approach, which derives an effective meson theory starting from a Lagrangian at the underlying quark level.