Associated J/ψ+γ Production Through Double Pomeron Exchange: the Nature of the Pomeron and Hard Diffractive Factorization Breaking

We present a study of associated J/ψ+γ production through double pomeron exchange at energies reached at the Fermilab Tevatron.and CERN LHC based on the Ingelman-Schlein model for hard difiactive scattering and the factorization formalism of nonrelativistic QCD for quarkonia production. We find that the process p+p→p +p + J/ψ+γ + X can be used to probe the gluon content of the pomeron and study the nature of hard difiactive factorization breaking.     

关于软坡密子的张量胶子球的内涵

通过把坡密子的轨迹跟观察到的量子数I^GJ^PC=0⁺2⁺⁺的同位旋标量的张量介子联系起来的关系,研究了坡密子的胶子球内涵.这些介子中有四个满足坡密子的自旋和质量的关系.这些坡密子的后选者可能是混合态.其中,f₂(2220)有极大的胶子球分量.讨论了关于这个介子宽度的实验争论,预言了它的理论下限,也阐明了在pp实验研究中观察不到f₂(2220)原因.     

Pomeron的胶子内容

指出Pomeron可以被看作为具有Regge轨道α_p(t)=1.08+0.2GeV^－2t的Regge化的胶子球.理论成功地预言了实验上观测到的质子一质子弹性散射的总截面.理论与实验的最好符合给出了张量胶子球到质子反质子道的衰变宽度为9±3MeV,其总宽度大于50MeV.并且排除了张量胶子球的自旋为4的可能性.     

Gluonic Origin and Glueball Nature of Pomeron

The Pomeron-nucleon coupling vertex is theoretically derived from the fundamental theory of strong interaction QCD. The empirical vertex βγ^μF1 （t） used commonly in diffractive processes with a coupling strength β = 6.0 GeV^-1 is initially obtained from QCD theoretically. Our study not only reproduces the Pomeron-nucleon coupling from QCD but also clearly shows the gluonlc origin and glueball nature of Pomeron, which is a longstanding puzzle. From this investigation, we claim that Pomeron can be regarded as a Reggeized tensor glueball ζ（2230） with quantum numbers of I^GJ^PC = 0＋2＋＋. Since the tensor glueball ζ（2230） lies on the Pomeron trajectory αp（t = Mζ^2） = 2, the longstanding puzzle that no physical particle lies on the Pomeron trajectory, αp（t） = 1.08 ＋ 0.20 GeV^-2 .t, seems to be solved.     

关于软玻密子的结构

本文修改了Landshoff-Nachtmann的软玻密子(Pomeron P)场论模型.从强子组分夸克具有结构的观点出发,根据高能强作用软过程中的最大非微扰强作用反应假定,提出了有关软P新的结构图像.对撞强子中的一对组分夸克被分解为裸夸克和一系列非微扰胶子(和夸克对).与此相应,软P的结构是由胶子形成的一系列切割梯形图之和所代表.在系统能量s很大而动量转移|t|很小的多重雷吉(Regge)运动学区间,并在保留lns的领头阶近似下,计算了这组切割梯形图之和所对应的散射振幅和总截面.它们的表达式出现了对s的Regge型幂次因子,得出了软P轨迹的简洁表达式.简单说明了按本文提出的方案可以讨论那些相关的强作用过程.     

Double Diffractive Dissociation Process p + p(p) → Xp + Xp(p) + Π+ + Π- at High Energy and the Pomeron Model of Donnachie-Landshoff

Large p_γ charged pion pair produced in Double Diffractive Dissocjation (DDD) process at high energy is studied with double pomeron (IP) exchange mechanism. Using DonnachieLandshoff pomeron model we have calculated the cross-section of the process at the energy interval from ISR to LHC when the rapidity of the charged pions is approximately equal to zero. It is shown that this process is the favorite in experiments which could effectively be used to examine Donnachie-Landshoff pomeron model and provide a possibility to check the value of the suppression coefficient N².     

单胶子交换梯形近似下Bethe－Salpeter方程赝标解

将在动量空间具有积分形式的单胶子交换梯形近似下Ｂｅｔｈｅ－Ｓａｌｐｅｔｅｒ方程化为微分方程，求出该方程在四动量为零时的赝标解全部分量，其中第一分量为已知的Ｇｏｌｄｓｔｅｉｎ解．     

关于QGP中夸克屏蔽位势来自动力论方程的研究

从ＱＧＰ的动力论方程出发，计及运动检验夸克的色电场扰动，采用微扰方法，并在高温极限下得到ＱＧＰ中夸克的分布函数和色电势．给出了考虑运动效应在内的德拜长度λＤ（或屏蔽质量ωＤ）与温度Ｔ的关系，在静态极限下它们与ＱＣＤ理论相符．     

胶子重组函数的性质

通过协变和非协变的方法研究了领头对数近似(LLA)下扭度为4的QCD演化方程中的胶子重组函数的性质.指出了GLRMQ方程中的胶子重组函数并不适用.讨论了避免红外发散的方法,这种方法可以用于高扭度下演化核和系数函数的推导.     

核环境中部分子演化与重组效应下的核内胶子分布

在既考虑到泄漏在束缚核子外的海夸克与胶子间的重组,又考虑到仍束缚在核子内的部分子由于其禁闭空间的变化而发生的演化的基础上,给出了核内胶子分布函数的普遍形式,并具体计算了锡梭与碳核的胶子分布比,结果与NMC实验合作组的最新实验相一致.     

关于P的结构模型(部分子分布)的检验

用不同的P部分子模型计算了高能P+P(P)对撞中双重P交换对J/ψ产生过程的贡献.对以胶子为主的Ingelman-Schlein模型,高能时截面随能量s以Ins或In²S平稳增加.在TeV能区σ(S)～10²—10³nb.对于认为P类似于C=+1同位旋标量光子的Donnachie-Landshoff模型,截面随行为复杂些,而σ(S)值仅为1—3nb,比前者小2—3个量级.因此如果认为两模型采用的参数值可靠,则此过程是检验它们的有效方法.文章就此作了质疑式的简短讨论.     

Pomeron的结构和胶球的强生机制

首先强调了在高能强作用软(高强软)过程,特别是在强子散射总截面中,单由Pomeron(IP)交换就渐进地饱和了幺正性条件这件事的重要性.结合对Landshoff和Nachtmann的IP场论模型适当修改,提出了最大非微扰强作用反应假说.与此相关,认为IP由这种反应中得出的一对共轭色八重态胶团组成.通过对修改后的q-q弹性振幅虚部图形的物理内涵的考察,一方面预言了高强软过程中会产生组分胶子,胶球态是由两个对撞的组分胶子熔合所形成.另一方面,通过这里的色胶团单圈图与Gell-mann-Zweig的介子散射时夸克图的对应,论证了IP与胶球态之间存在着Regge极点型的二元性关系.     

On the Test of Pomeron Structure (Parton Distribution Functions)

The contributions of the double Pomeron exchange to the J/ψ production inhigh energy p+p(p) collisions are calculated using different models for parton distribution functions inside the Pomeron(P). For the Ingelman-Schlein model in which gluons dominate in partons, the cross sections in high energy increase smoothly with as In²S or InS. The total cross section σ(S) is about 10²－10³nb in the TeV energies. For the Donnachie-Landshoff model in which the P are considered as something like isoscalar photons with C=+1 the cross section behavior increasing with energy is a little bit complicated. In same energy range, the cross sections are only 1-3nb which are smaller than that of the former case by 2—3 order of magnitude. So, if we assume the parameters of the above models are reliable, then these J/ψ production processes should be a good place for testing these models.     

关于J/ψ→Gb+γ和J/ψ→e+ē过程

基于J/ψ辐射产生胶球态Gb和湮没为e+ē对两过程的中间态和末态都不涉及任何夸克强子而只与强作用的真空性质密切相关这一特性，从另一种角度讨论了这两个过程.利用高能强作用软过程中修改后的pomeron场论模型和相关的最大非微扰强作用反应假定，并考虑到轻的和重的组分夸克在结构上的差异而在模型参数中作出相应的变更后，提出了这两个过程的另一种物理机制，计算了它们的衰变宽度，定出了胶球态与非微扰胶子间的耦合数值，并就此进行了简单的讨论. 关键词： J/ψ衰变 pomeron 非微扰     

Solutions of CDG Equation and Modified CDG Equation

This article puts forward a new way to find solutions of CDG equation. The main results are:(i) According to the Lax pair of CDG equation, we introduce the modified CDG equation. (ii) An invariance depending on two parameters of M-CDG equation is found. (iii) Some solutions for CDG equation are obtained by using the invariance.     

Calculation of the Gluon Distribution Function Using Alternative Method for the Proton Structure Function

A calculation of the proton structure function F2(x,Q2) is reported with an approximation method that relates the reduced cross section derivative and the F2(x, Q2) scaling violation at low x by using quadratic form for the structure function. This quadratic form approximation method can be used to determine the structure function F2 (x, Q2)from the HERA reduced cross section data taken at low x. This new approach can determine the structure functions F2(x,Q2) with reasonable precision even for low x values which have not been investigated. We observe that the Q2 dependence is quadratic over the full kinematic covered range. To test the validity of our new determined structure functions, wefind the gluon distribution function in the leading order approximation with our new calculation for the structure functions and compare them with the QCD parton distribution functions.     

Modified London Equation in N-gap Superconductors

Vortices in the N-gap （N ≥ 1） superconductor is studied by Dirac δ function. The topological structure of vortices can be characterized by Brouwer degree and Hopf index, i.e. （βtη1,… , βNηN ）. The magnetic flux and circulation of vortices without London approximation in the N-gap superconductor are calculated. The universal modified London equation is given for the case that each individual condensate is conserved or not conserved.