Towards a nonperturbative foundation of the dipole picture: II. High energy limit

This is the second of two papers in which we study real and virtual photon-proton scattering in a nonperturbative framework. In the first paper we have identified the leading contributions to this process at high energies and have derived expressions for them which take into account the renormalisation of the photon-quark-antiquark vertex. In the present paper we investigate the approximations and assumptions that are necessary to obtain the dipole model of high energy scattering from the results derived in the first paper. We discuss the gauge invariance of different contributions to the scattering amplitude and point out some subtleties related to gauge invariance in the correct definition of a perturbative photon wave function. As a phenomenological consequence of the dipole picture we derive a bound on the ratio of the cross sections for longitudinally and transversely polarised photons. This bound is independent of any particular model for the dipole-proton cross section and allows one to test the validity of the assumptions leading to the dipole picture in particular at low photon virtualities. We conclude that the naive dipole model formula should be supplemented by two additional terms which can potentially become large at small photon virtualities.     

A Thomas-Fermi type picture and the electromagnetic structure of the nucleon

Using a Thomas-Fermi type picture of the nucleon as a dense system of quarks and antiquarks, we give a rationale for the ‘dipole’ nature, scaling and other characteristics of the nucleon electromagnetic form factors. Similar considerations are then given for the electromagnetic structure of the pion.     

One‐ and Two‐Component Bottle‐Brush Polymers: Simulations Compared to Theoretical Predictions

Scaling predictions for bottle‐brush polymers with a rigid backbone and flexible side chains under good solvent conditions are discussed and their validity is assessed by a comparison with Monte Carlo simulations of a simple lattice model. It is shown that typically only a rather weak stretching of the side chains is realized, and then the scaling predictions are not applicable. Also two‐component bottle brush polymers are considered, where two types (A,B) of side chains are grafted, assuming that monomers of different kind repel each other. In this case, variable solvent quality is allowed. Theories predict “Janus cylinder”‐type phase separation along the backbone in this case. The Monte Carlo simulations, using the pruned‐enriched Rosenbluth method (PERM) give evidence that the phase separation between an A‐rich part of the cylindrical molecule and a B‐rich part can only occur locally. The correlation length of this microphase separation can be controlled by the solvent quality. This lack of a phase transition is interpreted by an analogy with models for ferromagnets in one space dimension.

     

Initial condition for evolution of the perturbative QCD Pomeron in a nucleus

We show that subdominant terms obtained using the reggeized gluon diagram technique, which should be added to Pomeron fan diagrams with the triple-Pomeron interaction, can be taken into account exactly if the initial condition for the evolution is chosen in the Glauber form. This demonstrates the complete equivalence of the dipole picture and the reggeized gluon technique in the high-energy limit not only in the leading order but also in the next order. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 148, No. 1, pp. 57–63, July, 2006.     

Weyl's theorem and tensor products: A counterexample

Approximately fifty percent of Weyl's theorem fails to transfer from Hilbert space operators to their tensor product. As a biproduct we find that the product of circles in the complex plane is a limaçon.     

AFM关于压电陶瓷非线性效应的图像校正

在很多情况下,AFM图像的几何形貌都与实物存在差异的。本文主要针对压电陶瓷非线性引起的图像的失真,通过实验用标准DVD光盘对图像加以校正。希望用校正以后的软件,能尽可能获得样品的真实信息。     

光学仪器照明CAD软件设计

设计了一套照明CAD软件用于实现对光学仪器中照明光路照度分布模拟.对该照明CAD系统的光线追迹与光照度计算方法进行了理论探讨,其中在光照度计算方法中引入了线性同余组合发生器,大大提高了模拟的真实性.运用该软件对实际照明光路进行了分析,分析结果表明该软件获得了需要的照度分布模拟图,能较好地满足用户要求.     

Knotted Picture of Single Qubit Quantum Logic Gate

This paper briefly introduces the five types of the surgical operations in knot theory and obtains the expression of single qubit quantum logic gate in terms of these surgical operations.     

智能化车辆光度测试系统的研制

本文介绍了一种自动测试汽车车灯配光性能仪器的设计原理、结构框图和精度分析。仪器采用微机控制、自动完成定位、数据采集、标准判别和表格打印。经实际使用表明：仪器具有较高精度，其转动定位精度达到０．０１°，照度测试精度不大于２％，完全满足国标对车灯性能测定的要求     

激光相位成像雷达的研究

利用无合作目标漫反射激光相位测距的原理,对关键单元技术进行分析和设计,研制成一种用于自主式车辆视觉导引的激光相位成像雷达的原理样机.