Comment on phase conventions in helicity formalism

Using the sequential decay process m e⁺e^- → J/ψ → ΛΛ, Λ → pπ^-, Λ → pπ⁺ as an example, the procedure for deducing the full angular distribution is illustrated by adopting both the Jacob-Wick and Jackson conventions in the helicity formalism. To make sure that the final physical result is free of phase conventions, we point out that the coefficients that relate the angular momentum states in different coordinate systems of reference frames have to be taken into account properly in the procedure. The fact that those coefficients are constants suggests that the Jackson convention is favorable in dealing with the processes with sequential decays.     

A viable method for goodness-of-fit test in maximum likelihood fit

A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.     

R值测量中强子事例选择的改进

强子事例的选择和强子探测效率是在BEPC/BES上进行R值测量的两项主要误差来源. 过去实验只选取等于或者大于2叉的强子事例, 因而0叉和1叉事例的丢失将导致强子事例数和强子探测效率的较大误差. 试图提出在R值测量中选取包含1叉强子事例在内的样本, 这将有助于更合理地调节强子事例产生器LUARLW的参数, 减小强子探测效率和R值测量的系统误差.     

原始数据中束流相关本底的分离

束流相关本底处理的不确定性是在BES/BEPC上进行R值测量的主要误差来源之一,提出从原始数据中分离出束流相关样本的新方法, 并把此样本用于调节强子产生器LUARLW的参数,以减小强子探测效率的系统误差, 提高R值的测量精度.     

Simulation study of neutrino nucleus cross section measurement in a segmented detector at a spallation neutron source

Knowledge of ν_e-Fe/Pb differential cross sections for ν_e energy below several tens of MeV scale is believed to be crucial in understanding supernova physics. In a segmented detector at a spallation neutron source, ν_e energy reconstructed from the electron range measurement is strongly affected because both multiple scattering and electromagnetic showers occur along the electron passage in target materials. In order to estimate these effects, a simulation study has been performed with a cube block model assuming perfect tracking precision. The energy spectrum distortion is observed to be proportional to the atomic number of the target material. Feasibility of unfolding the distorted ν_e energy spectrum is studied for both Fe and Pb. An evaluation of the statistical accuracy attainable is therefore provided for a segmented detector.     

Track reconstruction in the BESⅢ muon counter

The reconstruction algorithm for BESⅢ Muon Counter, MucRecAlg, is developed with the objectoriented language C＋＋ in BESⅢ offine software environment. MucRecAlg consists of the following functions：to find track seeds either from extrapolation of tracks in the main drift chamber or from the fired strips in muon counter, to select fired strips associated to the candidate tracks, to fit the candidate tracks with a linear or quadratic function and to calculate other parameters of the tracks for muon identification. Monte Carlo samples are generated to check the performance of the reconstruction package, such as reconstruction effciency, muon remaining rate and pion rejection rate, etc. The preliminary results show that the pion rejection rate is around 3%—4% while the muon remaining rate is better than 90% in 0.4—1.6 GeV/c momentum region, which meets the requirement as shown in the design report.     

Decay vertex reconstruction and 3-dimensional lifetime determination at BESⅢ

This paper focuses mainly on the vertex reconstruction of resonance particles with a relatively long lifetime such as Ks^0, A, as well as on lifetime measurements using a 3-dimensional fit. The kinematic constraints between the production and decay vertices and the decay vertex fitting algorithm based on the least squares method are both presented. Reconstruction efficiencies including experimental resolutions are discussed. The results and systematic errors are calculated based on a Monte Carlo simulation.     

低能区强耦合常数的测量

强耦合常数,α_s(s)是量子色动力学最重要的参数. 基于BES的R值测量结果, 分别利用精确到3圈和4圈的微扰QCD的计算, 测定了α_s(s)在2.0—3.7GeV能量范围的数值, 并推断了α_s(s)演化到Z⁰能标下的值α_s(M_z). 同时对在未来实验中R值测量精度的提高对α_s(s)的不确定性的减小作了定量的预言.     

泊松统计的无偏估计

当泊松分布的平均值依赖于被估参数时, 从单次实验结果给出的关于参数的最大似然估计一般是统计学意义上有偏的. 借助矩的表达形式, 提出了一种关于被估参数的无偏估计方法.