虚Compton散射中微扰QCD的可应用性分析

文章阐明微扰色动力学在π介子虚Compton散射过程中的应用性问题.在此过程中,量子色动力学耦合常数除了端点奇点之外还有中心区域的奇点.于是引进一套简单的技术来判断这些奇点的贡献,并认为这些贡献在一定能标上不妨碍微扰色动力学的应用.提出“工作点”判断法来论证微扰色动力学何时对某个遍举过程是适用的.不同的π介子分布振幅的适用性被详细的考察.得到10 GeV²时微扰量子色动力学开始工作;如果放宽限制,工作点将只有4 GeV².     

微扰QCD对Drell-Yan过程能量损失效应的修正

利用Glauber模型以及DGLAP方程下的核内核子的部分子分布函数, 在次领头阶QCD下计算了Drell-Yan过程中的能量损失效应, 计算表明QCD修正并不能改善理论结果与试验结果的符合, 尤其是p-W与p-Be以x₁为变量的微分截面比. 原因是所用的核内核子部分子的分布函数是以领头阶近似为基础并通过演化方程得到的. 于是利用在次领头阶微扰QCD下得到的核遮蔽效应核内核子的部分子分布函数重新计算了次领头阶QCD修正对Drell-Yan过程能量损失的贡献. 计算结果表明康普顿散射过程与湮没过程中应该有更多的能量损失.     

用α粒子模型描写800MeV的p-40Ca散射

在α粒子模型下用Glauber理论计算了800MeV的P-⁴⁰Ca散射微分截面,分析本领和自旋旋转参数,结果与实验较好地符合,文中还分析了p-α振幅中相因子的影响.     

中能K+核弹性散射光学势参数

采用包含库仑场影响的一级修正的eikonal相移研究了入射动量为715MeV/C的K⁺介子与⁶Li、¹²C核散射及入射动量为800MeV/c的K⁺介子与(12)C、⁴⁰Ca核散射的微分截面,通过理论微分截面与相应实验数据的拟合,得到了最佳光学势参数,为K⁺核散射的微观研究提供一定依据.用得到的光学势计算了相应散射过程的总截面,并与实验值作了比较.     

超重核266Hs形成截面的入射道依赖

计算和比较了²⁶Mg+²⁴⁴Cm, ²⁷Al+²⁴³Am和³²S+²³⁸U3个反应系统的俘获截面和复合核²⁷⁰Hs形成截面. 在俘获截面计算中, 考虑了靶核形变效应. 穿越库仑势垒后, 反应系统由熔合谷进入不对称裂变谷. 只有越过不对称裂变谷中的条件鞍点的事件才进入复合核组态. 我们用考虑中子流动和径向运动的二参量Smoluchowski扩散方程来处理中间阶段的动力学过程. 此外, 还计算了经4n蒸发形成超重核²⁶⁶Hs的截面. 研究表明, 入射道的势垒分布, 中间阶段的条件鞍点高度对俘获截面, 复合核形成几率, 以及最终的超重核形成截面有显著影响.     

中能区质子与4He原子核散射的唯象全振幅

对整个中能区现有的质子与⁴He原子核散射的实验数据(微分截面和极化能力)进行了系统的振幅分析,给出了一组参数化的唯象振幅.这些振幅对于利用中能质子研究原子核的α粒子结构问题是必要的输入量.     

超冷温度下钾和铯原子间弹性散射特性的精确计算

本文分别用量子方法和半经典方法计算了超冷钾和铯原子之间弹性碰撞的s波散射长度,有效力程和p波散射长度等散射参数. 超冷温度下³⁹K-¹³³Cs原子间的弹性散射截面主要为s波贡献,随着碰撞能量的增加散射截面有丰富的形状共振出现, 计算发现单重态和三重态截面分别存在显著的g波和d波形状共振.另外,本文应用简并内态近似方法获得了⁴¹K-¹³³Cs 超精细态相互作用时的s波散射长度.     

γ-p碰撞中质子内胶子分布对QED康普顿效应所产生的影响

本文运用量子色动力学微扰理论讨论了γ-p碰撞中质子内胶子分布对康普顿效应的影响。计算结果表明质子中胶子分布函数按幂次变化对康普顿的QED计算影响不大,可以采用方便的胶子分布函效形式来进行估算。     

晕核反应总截面和密度分布

利用考虑了量子修正、库仑修正、核子–核子碰撞同位旋效应和假定有效原子核密度分布后得到的改进的Glauber理论,计算了晕核与稳定核反应总截面,研究了晕核结构对反应总截面的影响.结果发现对于¹¹Be,¹⁴Be和¹¹Li等入射核,必须考虑它们的晕核结构和利用自由的核子–核子碰撞截面才能得到与实验符合的反应截面,并可依据反应总截面来确定晕核的密度分布和均方半径等信息.     

用e+e－→h′s反应中类双喷注事例研究部分子末态的色联接

借助JETSET事例产生器对e⁺e^－→h′s反应中的类双喷注事例进行研究.研究发现,在QCD微扰与非微扰的界面上,部分子系统的色中性流和色分离单态两种不同色联接方式导致了强子末态某些可观测量的显著差别.因此,它们可以用于判别部分子的色联接方式.     

The accelerated scaling attractor solution of the interacting agegraphic dark energy in Brans–Dicke theory

We study the deeply virtual Compton scattering off a spin-one particle, as the case for the coherent scattering off a deuteron target. We extend our approach, formulated initially for a spinless case, and discuss the role of twist three contributions for restoring the gauge invariance of the amplitude. Using twist three contributions and relations, which emanate from the QCD equations of motion, we derive the gauge invariant amplitude for the deeply virtual Compton scattering (DVCS) off hadrons with spin 1. Using the derived gauge invariant amplitude, the single spin asymmetry is discussed.     

Deeply virtual Compton scattering on a virtual pion target

We study deeply virtual Compton scattering on a virtual pion that is emitted by a proton. Using a range of models for the generalized parton distributions of the pion, we evaluate the cross section, as well as the beam spin and beam charge asymmetries in the leading-twist approximation. Studying Compton scattering on the pion in suitable kinematics puts high demands on both beam energy and luminosity, and we find that the corresponding requirements will first be met after the energy upgrade at Jefferson Laboratory. As a by-product of our study, we construct a parameterization of pion generalized parton distributions that has a non-trivial interplay between the x and t dependence and is in good agreement with form factor data and lattice calculations.     

The total virtual photoabsorption cross section,deeply virtual Compton scattering and vector-meson production

Based on the generic two-gluon-exchange dynamical mechanism for deeply inelastic scattering at low , we stress the intimate direct connection between the total virtual photoabsorption cross section, deeply virtual Compton scattering and vector-meson electroproduction. A simple expression for the cross section for deeply virtual Compton scattering is derived. Parameter-free predictions are obtained for deeply virtual Compton forward scattering and vector-meson forward production, once the parameters in the total virtual photoabsorption cross section are determined in a fit to the experimental data on deeply inelastic scattering. Our predictions are compared with the experimental data from HERA. Received: 16 February 2004, Revised: 16 July 2004, Published online: 2 September 2004 Supported by Deutsche Forschungsgemeinschaft, contract number schi 189/6-2. An erratum to this article is available at .     

Nucleon polarizabilities in real and virtual Compton scattering: Recent theoretical issues

We review recent developments in the theoretical investigation of the nucleon polarizabilities. We first report on the static polarizabilities as measured in real Compton scattering, comparing and interpreting the results from various theoretical approaches. In a second step, we extend the discussion to the generalized polarizabilities which can be accessed in virtual Compton scattering, showing how the information encoded in these quantities can provide a spatial interpretation of the induced polarization densities in the nucleon.     

利用虚光子理论对轴沟道辐射的分析

 考虑电子的反冲的影响,利用虚光子与相对论电子的康普顿散射理论对轴沟道辐射进行了研究。在与电子纵向运动静止的坐标系中,把晶格场等效为虚光子。当虚光子与作沟道运动的电子发生康普顿散射时,虚光子就会转化为实光子辐射出去。根据该理论,得到了含有康普顿波长项的轴沟道辐射的精确波长表达式,其近似式就是经典理论推导的公式;同时得到了单电子轴沟道辐射的光子产额和辐射功率的公式,结果也与经典理论公式一致。     

Low-energy theorem for virtual compton scattering and generalized sum rules of the nucleon

We formulate the low-energy theorem for virtual Compton scattering off a nucleon and examine its consequences for generalized nucleon polarizabilites. As a result of a new, model-independent definition of the low-energy limit for doubly virtual Compton scattering, all generalized sum rules of the nucleon have a continuous limit for real photons and obtain contributions from the t channel that were not included previously.     

Virtual Compton Scattering off Spin-Zero Particles at Low Energies

We discuss the low-energy behaviour of the virtual Compton scattering amplitude off a spin-zero target. We first compare various methods of obtaining a low-energy expression based either on the soft-photon approximation or the use of Ward-Takahashi identities. We point out that structure-dependent terms are defined with respect to a low-energy approximation of the pole terms, which commonly is separated from the full amplitude. We derive a general expression for the structure-dependent terms in an expansion in terms of the momenta and of the initial and final virtual photon, respectively, up to and including terms of order . At order two terms appear that are related to the usual electric and magnetic polarizabilities of real Compton scattering. At order we find nine new structures of which five can only be determined using virtual photons. Received October 23, 1997; accepted for publication December 29, 1997     

Virtual Compton scattering off the pseudoscalar meson octet

We present a calculation of the virtual Compton scattering amplitude for the pseudoscalar meson octet in the framework of chiral perturbation theory at O(p ⁴). We calculate the electromagnetic generalized polarizabilities and compare the results in the real Compton scattering limit to available experimental values. Finally, we give predctions for the differential cross section of electron-meson bremsstrahlung.