Heavy ion physics with CMS detector

We analyse the impact of systematic effects due to the scale dependence of QCD corrections in combination with the use of different jet clustering algorithms in the measurement of the W^± mass in the fully hadronic decay mode of W⁺W⁻ pairs produced at LEP2. We consider higher order contributions induced by both virtual and real gluon radiation onto the electroweak CC03 and CC11 channels through (α_s) at the parton level. We find that the associated uncertainties can be of order 100 MeV, thus competitive with those possibly arising in the non-perturbative regime and indeed above the current experimental estimates.Work supported in part by the Ministero dell’Università e della Ricerca Scientifica and by the European Union under contract HPRN-CT-2000-00149.     

Prospects for B physics with the ATLAS and CMS detectors

The possibility of observing the radion using the ATLAS detector at the LHC is investigated. Studies on searches for the Standard Model Higgs with the ATLAS detector are re-interpreted to obtain limits on radion decay to γγ and ZZ^(*). The observability of radion decays into Higgs pairs, which subsequently decay into or is then estimated.     

Electroweak and CP violation physics at a Linear Collider Z-factory

A future linear collider such as TESLA may be able to run on the Z⁰ resonance with very high luminosity and polarised electron and positron beams. The possibilities of measuring electroweak quantities with high precision are investigated. Huge improvements with respect to the present precision can be expected, especially for the asymmetries A_LR and where beam polarisation can be exploited. The very large sample of events also allows studies of various CP-violating b decays. The precision achievable on the CKM unitarity triangle angles is comparable to experiments at b factories and future hadron colliders.     

Some results on the spatial behaviour for elastic mixtures

This article studies the spatial behaviour of solutions for some classes of homogeneous and isotropic simple elastic mixtures, for which the internal energy density is not always a positive definite quadratic form. By introducing some appropriate measures, we obtain the domain of influence theorem and the spatial decay estimates with time-independent decay rate inside the domain of influence.     

Influence of a stacking phenomenon on the results of Hadamard transform capillary electrophoresis

Advantageous features (enhanced sensitivity and low baseline noise) of the multiplex measuring procedure, the Hadamard transform capillary electrophoresis (HT-CE), are experimentally demonstrated and critically discussed. To perform a perfect multiplex experiment in CE, sample species need to be dissolved in the background electrolyte medium and have very low concentration. The mismatch of electric conductivity resulting from a sample dissolved in water or in a separation buffer diluted with water will lead to sample stacking and corrupting the anticipated outcome. The multiplex measurements were carried out with benzyltriethylammonium bromide, resorcinol and 3,5-dihydroxybenzoic acid in the phosphate buffer, 511 sample/buffer injections were performed into the capillary according to the pseudorandom binary sequence. The averaged electropherogram of the single injection was calculated from the detection signal with the aid of the Fourier transform. The results illustrate the detrimental effect of sample matrix dilution with water and the effect of increased initial sample concentration on the multiplex measurement in CE. Multiplex advantage, in theory possible in the HT-CE, can be obtained at low concentration levels feasible with laser induced fluorescence and optically gated sampling. To achieve successful multiplex measurements with the UV detector, the single injection signal should be approximately at the baseline noise level.     

线性方程组解的有关问题

首先讨论了两个齐次线性方程组有非零公共解的充分必要条件并给出了非零公共解的一般形式,然后讨论了两个线性方程组同解的一个充分必要条件和非齐次线性方程组的线性无关解向量的个数以及非齐次线性方程组通解的表达式,最后证明了非齐次线性方程组有解的一个充分必要条件.     

基于功能不完全可加系统的系统优化

为了揭示系统的某一功能达到最优与其所有子系统为实现系统这一功能而提供的功能之间的联系,探讨了功能不完全可加系统的系统优化过程,认为可通过对系统施加调节控制作用,使系统状态成功转移到期望状态的总成本最小来实现对系统的优化.最后辅以实例.     

Nontrivial Attractors in a Model Related to the Three-Body Quantum Problem

A model of a quantum mechanical system related to the three-body problem is studied. The model is defined in terms of a symmetric pseudo-differential operator (PDO) with unbounded symbol. The entire family of self-adjoint extensions of this operator is studied using harmonic analysis. A regularization procedure for this PDO is introduced and the spectral properties of the operators obtained in this way are investigated. The limit behavior of the regularized operators when the regularization parameter is removed is analyzed and a nontrivial attractor is exhibited.     

不确定竞争市场的R&D投资决策分析

本文针对不确定的竞争市场 ,分析降低成本的不可逆 R& D投资决策 .考虑到 R& D结果不确定 ,而这种不确定与投资量有关 ,在利用博弈论方法分析和给出了投资结果不确定的投资期权价值后 ,设随机市场需求规模服从均匀分布 ,本文分析了各种因素对 R& D投资的影响 ,发现较大的市场需求预期和较强的成本节约效果鼓励了 R& D投资 ;相反地 ,较大的成功 R& D所需的最大投资量挫败了 R& D投资 ;而投资期望净收益与投资成本之间的权衡使得存在事前最优投资量最大化投资期权价值