Breit夸克势的不同次正规化与ηc-J/ψ等的质量劈裂

用夸克势模型研究结构相同而自旋和轨道量子数不同的介子之间质量劈裂是检验势模型有效性的重要手段之一. 在以往的用各种夸克势模型计算质量劈裂工作中, 当轻介子和重介子一起计算时, π-ρ很容易劈裂, 而η_c-J/ψ等的劈裂都很 难达到实验值. 这里首先用正规化形状因子μ²/(q²+μ²), 对完整的动量空间中的Breit夸克势的第三项实施二次正规化, 除了第一项 库仑势和第七项常数项势, 对其余的项实施一次正规化, 然后用来计算 质量劈裂. 研究计算发现, 只有当屏蔽质量μ取为关于 折合质量μ_r=m_r m_j/(m_r+m_j) 的三阶多项式时, 轻介子π-ρ和重介子η_c-J/ψ, η_b-Υ(1s), 还有χ_c0-χ_c1-χ_c2 等的劈裂 精确达到实验值, 同时其他介子质量也都比以往得到较大的改善. 因此, 本文给出了一个有效的夸克势模型.     

考虑胶子质量的重夸克偶素位模型(续)

本文采用经典禁闭场论的方法,利用一个特殊的口袋模型导出了计及胶子质量效应后的重夸克偶素长程势,从而得到一个新的有效位势:V_eff=-4/3α_s(e^-μr)/r +(g_v+g_s)r(th((μr)/2)/((μr)/2))^1/2+V₀。从这一位势模型出发,推导了Breit-Fermi项。并通过数值解薛定谔方程,利用多因素优选法,分别对μ=0.2GeV,μ= 关键词：     

相对论夸克模型和N–Δ能量劈裂

基于相对论夸克模型,在夸克层次上研究了N-Δ的质量和二者的能量劈裂,通过引入了赝标量π介子云效应,得到了π和核子之间的耦合常数g_πNN,以及单胶子交换势和单π介子交换势分别对N-Δ能量劈裂的贡献,计算结果较好地与实验值得到了吻合.另外我们还比较了相对论与非相对论夸克模型在处理上的不同.     

Breit势的正规化与ηc-J/ψ的劈裂

研究自旋和轨道量子数不同的介子之间的质量劈裂对检验夸克势模型非常重要。 在以往的夸克势模型计算中,η_c-J/ψ的质量劈裂都很难达到实验的值。 用正规化形状因子μ2/(q2+μ2)， 在对完整的动量空间中的Breit夸克势实施一次正规化下研究了η_c-J/ψ和新介子ηb与Υ(1s)之间的质量劈裂。 结果表明， 正规化形状因子中的屏蔽质量μ应与介子折合质量有关， 当将其展开为介子折合质量的三阶多项式时， 上述介子质量劈裂可以精确重现实验的结果。另外， 由于完整的Breit势包含有自旋-轨道耦合相互作用的项，因而还可以研究χc0,χc1和χc2之间的质量劈裂。 The study of the splittings between the masses of mesons with different spin and orbit quantum numbers is important for checking the quark potential model. In the previous calculations with quark potential models, the splitting between ηc and J/ψ is however too small to the experimental result. In this paper the mass splitting of ηc J/ψ and the splitting between the new meson ηb and Υ(1s) are investigated with the complete Breit quark potential regularized by applying the form factor μ2/(q2+μ2) one time in momentum space. In addition, because the complete Breit potential includes the spin orbit interaction, it can be used to investigate the splittings among χc0, χc1 and χc2. The investigated results indicate that the screen mass μ in the form factor of regularization is related to the reduced mass of meson. The splittings of η_c-J/ψ, ηb Υ, and χc0 χc1 χc2 can reproduce the experimental results with high accuracy when the screen mass is expanded to the third order polynomial of meson reduced mass.     

夸克偶素L=1态质量劈裂与长程囚禁势的Lorentz结构

利用夸克偶素L=1自旋三重态精细质量劈裂数据分析了夸克-反夸克线性囚禁势的Lorentz特性,发现线性囚禁势是Lorentz标量与少量Lorentz矢量(η≤29%)的混合(如η=0则为纯Lorentz标量).对实验初步测量的χ(¹P₁)和γ(¹P₁)介子质量,分析表明前者要求线性囚禁势是纯Lorentz标量,而后者要求线性囚禁势是79%的Lorentz标量与21%的Lorentz矢量的混合.     

e+e-湮没中轻夸克碎裂为粲介子的研究

研究了e+e-湮没中"初始"轻夸克和胶子劈裂产生的组合为介子(包括D-, D-s, 0)或*介子(包括D*-, D*-s, *0)的过程.发现尤其在s=MZ处,其产额相对较大,当限制或*的能量大于20GeV时,它和c夸克碎裂产物的不变质量谱在稍大于2M附近有一个峰,这是该过程区别于其它或*介子产生过程的显著特征.此过程产生的矢量介子基本上是纵向极化的,与实验上观测到的*介子的纵向极化一致.     

e^＋e^－湮没中轻夸克碎裂为粲介子的研究

研究了e^ e^-湮没中“初始”轻夸克和胶子劈裂产生的e^-组合为D^-介子(包括D^-，Ds^-，D^-0)或D^-*介子(包括D*^-,Ds^*-，D^-*0)的过程．发现尤其在√s=Mz处，其产额相对较大，当限制D^-或D^-*的能量大于20GeV时，它和c夸克碎裂产物的不变质量谱在稍大于2MD^-附近有一个峰，这是该过程区别于其它D^-或^-*介子产生过程的显著特征．此过程产生的矢量介子基本上是纵向极化的，与实验上观测到的D^-*介子的纵向极化一致．     

轻原子和离子的多重态理论计算

本文的目的是探索一种参数比较少而计算结果又比较好的解析波函数来计算轻原子和离子的多重态能量,并与其他方法计算的结果和实验结果相比较。我们选用下列波函数: 1s电子:ψ_1(r):N_1e~(-μar)[1 (μbr)~1] 2s电子:ψ_2(r)=N_2[μr)e~(μr)-Ne~(μar)], 2p电子:ψ_3(r)=N_3(μr)cosθe~(-μr) ψ_4(r)=N_4(μr)sinθe~(1φ-μr) ψ_5(r)=N_5(μr)sinθe~(-1φ-μr) 计算了第二周期元素正常态原子和相应的离子的波函数的最佳参数值和能量值。这套波函数只有三个参数μ,a和b。结果表明理论计算的能量值与实验值符合得很好,误差在百分之一到千分之一的范固内。而且与Morse和Tubis等人过去用四参数波函数算出的结果很接近,有些还要好一些。说明我们选用的这套波函数是比较简单而又比较准确的。     

夸克-介子耦合模型

对夸克-介子耦合模型的研究进展及现状进行了简述.在此基础上,利用非拓扑孤子袋模型的思想和改进的夸克质量密度相关(IQMDD)模型,考虑夸克之间的排斥作用而加入ω介子,称为IQMDD-Ⅰ模型,得到了基态波函数和介子场满足的方程.利用平均场近似方法,通过得到的基态夸克波函数计算了核子的均方根半径和磁矩等可观测量,其结果与实验值吻合得较好.     

用夸克模型探索π-N相互作用

本文中用夸克模型,Warke近似,并作为补偿,在夸克唯象势中加入中程势(-1)^T+JKre^(-r/a₂),计算了π-N相互作用势,从此势计算了L_2T,2J=S₁₁,S₃₁,P₁₁,P₃₁,P₁₃和P₃₃六种道的相移。在入射π介子动能E_π^k(lab)=0—700MeV范围内,与由实验方法决定的相移进行了比较。 关键词：     

Chiral Extension of Standard Model and Rc,Rb Problems

The deviations of R_c, R_b fiom the standard model are discussed within our theory, the cbiral extension of standard model and its supersymmetrization. Combining R_c, R_b with the coupling constants gv, gA of Z⁰ decay, Γ(W⁺ → e⁺υ_e) of W⁺ and the Michel parameters p_γ of γ decay, the mixing angles between hadronic and leptonic quarks and the form factors of the leptonic axial currents are determined within experimental errors, from which it is found that the mass of down leptonic quark of the third generation is about twice the mass of top quark.     

Investigation of quark–antiquark interaction properties using leading particle measurements in ee annihilation

Measurements of heavy quark production in electron–positron collisions are used to analyse the strong interactions between quarks and antiquarks. A scaling behaviour is observed in distributions of the rapidity change of D^*, B^*, and B mesons. From these distributions information is obtained on the hadron formation time, effective quark masses, and the potential between quark–antiquark pairs. Predictions for fragmentation functions are presented.     

Heavy Quark Limit of Weak Transition Form Factors in a Light-Cone Constituent Quark Model

In the light-cone constituent quark model, the wavefunction for Λ_b⁰ or Λ_c⁺ with three quarks is reduced to a wavefunction for the heavy-quark-diquark picture by assuming that the two light quarks forming a diquark are in comoving. A heavy quark (or diquark) distribution amplitude is obtained. While form factors of weak transition Λ_b → Λ,ev are calculated in the finite mass case, a hadronic-size-dependen t form of Isgur- Wise function is obtained in the m_Q → ∞ limit.     

Pion properties at finite isospin chemical potential with isospin symmetry breaking

Pion properties at finite temperature, finite isospin and baryon chemical potentials are investigated within the SU(2) NJL model. In the mean field approximation for quarks and random phase approximation fpr mesons, we calculate the pion mass, the decay constant and the phase diagram with different quark masses for the u quark and d quark, related to QCD corrections, for the first time. Our results show an asymmetry between μI 0 and μI 0 in the phase diagram, and different values for the charged pion mass(or decay constant) and neutral pion mass(or decay constant) at finite temperature and finite isospin chemical potential. This is caused by the effect of isospin symmetry breaking, which is from different quark masses.     

A Modified Approach for Calculating Dressed Quark Propagator at Finite Chemical Potential

Based on the rainbow approximation of Dyson-Schwinger equation and the assumption that the full inverse quark propagator at finite chemical potential is analytic in the neighborhood of μ = 1, it is proved that the dressed quark propagator at finite chemical potential μ can be written as G0^-1 [μ] =iγ·p↑-A（p↑-^2） ＋B（p↑-^2） with p↑-μ= （p↑-p4 ＋iμ）. From the dressed quark propagator at finite chemical potential in Munczek model the bag constant of a baryon and the scalar quark condensate are evaluated. A comparison with previous results is given.     

胶子非弹性散射过程对夸克胶子等离子体中双轻子产生的影响

双轻子是研究夸克物质的形成和性质的重要探针.本文基于化学平衡化的黏滞性夸克胶子等离子体演化模型,计算了相对论重离子碰撞能量下金-金对心碰撞形成的夸克胶子等离子体中的双轻子产额.在黏滞性计算中加入了胶子非弹性散射过程对黏滞系数的贡献.相较仅考虑夸克和胶子弹性散射的情况,双轻子的产额有较明显的降低.这表明在黏滞系数中加入胶子非弹性散射的贡献使得系统的演化过程加快,演化时间变短.     

Relative production of vector and pseudoscalar states for light- and heavy-flavour mesons

The relative fractions of vector, V, and pseudoscalar, P, primary mesons produced in and decays, and primary light-flavour mesons produced in fragmentation processes are explained by the hyperfine mass splitting. The difference in corresponding fractions arises from the difference in the constituent quark masses , m_s, m_c and m_b:

The production ratios for strange, charm and beauty mesons evaluated from the ρ/(3π) ratio, measured at LEP for primary produced ρ and π, agree with the results of LEP and lower energy e⁺e⁻ experiments.     

Contribution of Quark Structure Term in Nucleon Electric and Magnetic Form Factors

The constituent quarks in the nucleon have always been considered as a point-like particle in the relativisticconstituent quark model. However its calculation results of GE^n agree poorly with the new experimental data. Theelectromagnetic structure of light front constituent quarks is considered in this paper. We find that the calculationresults have good agreement with the new experimental data of GE^n after considering the contribution of the quarkstructure term. This treatment seems to be able to improve the fit to experimental data of GEp/GMp,√Q2F2p/kpF1p,and GEn/GMn as well.     

矢量介子及其激发态的讨论

在Regge唯象下, 首先研究自旋-宇称多重态中六个介子质量间的关系式. 运用验证后的关系式, 重点计算基态矢量介子多重态(1³S₁)中尚未观测到的双重粲-底介子 B_c^*的质量. 还计算了径向激发态2³S₁多重态的介子质量和轨道激发态1³G₅介子九重态的质量. 根据计算结果结合实验数据和其他理论进行讨论, 建议在6355 MeV附近寻找和研究 B_c^*介子, 将 D(2600)和 D_s1(2700)分别作为主要成分为 nc(2³S₁)和 sc(2³S₁)的态进行研究; 分别在5812, 5917, 6896 MeV附近寻找矢量介子第一径向激发态 B^*(2S), B_s^*(2S)和 B_c^*(2S). 建议将 ω₅(2250)安排在1³G₅介子九重态的同位旋标量态, 实验上在2259 MeV附近进一步研究 ρ₅(2350)的性质, 在2438 MeV附近寻找和研究 φ₅(1³G₅). 研究结果对于相关介子的自旋-宇称安排和通过实 验寻找新的介子激发态具有重要的参考价值. 关键词： Regge唯象 矢量介子 质量谱