2+1维SU(2)格点规范场胶球质量及胶球波函数的收敛行为

采用截断本征方程的方法研究2+1维SU(2)格点规范场的胶球质量及胶球波函数.计算结果表明:五阶胶球质量Δm/e²与五阶真空波函数的μ₀一样没有表现出良好的收敛行为,在1/g²>0.8区间,胶球质量逐渐下降;胶球波函数μ₀^F和μ₂^F在1/g²>0.8时,趋于平稳,有较好的标度行为.     

3维U(1)改进格点规范理论中胶球质量和胶球波函数

用改进的格点规范场哈密顿量和截断本征方程法计算2+1维U(1)规范场的胶球质量(质量隙)和胶球波函数,结果显示出较好的标度行为.     

胶球研究现状

本文介绍了有关胶球研究的现状,重点介绍确认胶球的一些定性的判据以及实验上已发现的一些可能的胶球候选者.     

ξ(2230)的胶子球解释

本文讨论了ξ(2230)作为胶子球解释的可能性.螺旋性振幅之比x和y的理论值与实验值的比较表明,ξ(2230)不可能是一个纯的2⁺⁺S波(或D波)的胶子球,但可能是一个4⁺⁺D波胶子球.     

2+1维SU(2)格点规范场胶球质量的七阶RPA近似

采用无规相近似(RPA)方法,用空心图作为试探波函数,利用Feymann?Hellman定理计算七阶2?+?1维SU(2?)格点规范场的胶球质量,在弱耦合区1/g2?=1.0?–?1.8胶球质量表现出良好的标度行为,基本趋于常数(m/e2?≈1.2?0±0?.0?1)?.     

胶球寻找的实验现状

阐述了有关胶球寻找的最新实验状况, 特别是集中在确认标量和张量胶球方面的现状.     

QCD求和规则的张量胶子球(2++)的质量

利用量子色动力学求和规则计算了张量胶子球 (2++ )的质量 ,其结果与北京正负电子对撞机的BES实验组和MARKIII实验组的测量结果一致 ,表明张量胶子球的质量约 2 .2 3GeV左右。The mass of the tensor glueball (2 ++ ) is calculated in quantum chromodynamics(QCD) spectral sum rules. The theoretical prediction is in good agreement with the measurements of BES collaboration at BEPC, Beijing and MARK III, which indicates that the mass of the tensor glueball may be around 2.23 GeV.     

胶子的极化态与ξ(2230)的胶子球解释

本文讨论了当胶子只有横极化分量时对ξ(2230)胶子球解释的影响.     

2+1维SU(2)格点规范场胶球质量的无规相近似计算

采用无规相近似(RPA)耦合集团展开方法,用空心图作为试探波函数,利用Feymann-Hellman定理和截断薛定谔方程本征值方程的方法得到的封闭方程组,计算出三到六阶2+1维SU(2)格点规范场的胶球质量.结果显示:当计算进行到六阶时,胶球质量已出现标度窗口和收敛趋势,预示七阶结果将在弱耦合区能表现出良好的标度行为和收敛性     

(2+1)维SU(3)0++胶球波函数

采用截断本征方程的方法,选择连接图作为独立图,计算(2+1)维SU(3)胶球波函数,其μ0F和μ2F表现出较好的标度行为.     

（2十1）维SU（2）格点规范场胶球质量的解析计算

从连接图方案出发，计算０胶球质量，得到较好的标度行为．     

Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA

The random phase approximation (RPA) method and the Feymann-Hellman theorem are used to calculate the seventh order glueball mass of the 2+1-D SU(2) lattice gauge theory. As an approximation, the trial wave function is constructed only by single-hollow graphs. The calculated result of the seventh order glueball mass shows good scaling behavior at the weak coupling region of 1/g²=1.0-1.8(m/e²≈1.20±0.01).     

Thied—Order Approximation of 0^＋＋ Glueball Mass and Wavefunction of （2＋1）—Dimensional SU（3） Lattice Gauge Theory

The random phase approximation is applied to the coupled-cluster expansions of lattice gauge theory (LGT) Using this method,wavefuctions are approximated by linear combination of graplh consisting of only one connected wilson loop.We study the excited state energy and wavelunction in (2 1)-D SU(3) LGT up to the thired order,The glueball mass shows a good scaling behavior.     

A Lattice Study of the Glueball Spectrum

Glueball Spectrum is studied using an improved gluonic action on asymmetric lattices in the pure SU(3) gauge theory.The smallest spatial lattice spacing is about 0.08 fm which makes the extrapolation to the continuum limit more reliable.In particular.attention is paid to the scalar glueball mass which is known to have problems in the extrapolation.Converting our lattice results to physical units using the scale set by the static quark potential,we obtain the following results for the glueball masses:MG(0 )=1730(90)MeV for the scalar glueball mass and MG(2 )=2400(95)MeV for the tensor glueball.     

坡密子和胶子球

讨论了高能强子 -强子散射过程中的坡密子以及坡密子的 QCD内容 .认为坡密子有可能就是具有量子数 IG=0 + ,JPC=2 + +的张量胶子球 ξ( 2 2 30 ) .用雷其化胶子球模型计算了高能质子 -质子散射截面和坡密子 -核子的耦合参数 β.理论结果与实验的要求一致. The pomeron in high energy hadron hadron scattering as well as the QCD nature of the pomeron are discussed. We claimed that the pomeron may be the tenser glueball ξ(2 230) with quantum number I G =0 +, J PC =2 ++ . Under this reggeized glueball model the cross section of high energy proton proton scattering and the coupling parameter of the pomeron nucleon, β , are calculated. The theoretical results of the present model are in good agreement with experimental data.     

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.     

Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory

In this paper,the glueball mass of 0⁺⁺ is calculated in the (2+1)－D SU(2) lattice gauge theory with connection graphs.The result shows a good scaling behavior.     

用改进的格点哈密顿量计算2+1维QCD 0++胶球质量

用改进的格点哈密顿量和截断本征方程法计算2＋1维QCD 0^ 胶球质量,结果显示较好的标度行为。