高能碰撞中动力学起伏的横动量守恒约束

详细研究了高能碰撞末态粒子动量守恒约束条件对归一化阶乘矩的标度行为的影响,进而成功地解释了当前实验中普遍存在的阶乘矩在相角方向上的下弯现象.提出了两种关于阶乘矩的新的统计方法试图部分地消除动量守恒约束的影响,恢复分形系统本身的标度性.     

高能碰撞实验数据非整数分割时的阶乘矩分析

在对相空间用非整数分割作阶乘矩分析时,由二粒子或多粒子关联所引起的非均匀因素的影响必须加以认真考虑.本文对高能碰撞末态粒子的阶乘矩在相空间进行非整数分割时的分析方法进行了仔细研究,建立了一套完整的对非整数分割下阶乘矩的分布进行修正的方法.用NA22实验组的实验数据计算,证明其方法是正确的.     

相对论重离子碰撞中分形特性的研究

用AMPT模型产生5000个质心能量为(1/2)S=200GeV的Au-Au碰撞事件,计算了其多粒子末态系统三个不同方向的一维阶乘矩,发现三个不同平面的Hurst指数在误差范围内相等。对三维相空间进行各向同性分割,得到的阶乘矩显示出了良好的标度特性,这表明相对论重离子碰撞的末态粒子相空间是自相似的分形结构。     

高能碰撞中的间歇与混沌

通过研究随机级联α模型,证明了对于固定的动力学起伏强度,多粒子末态相空问有间歇现象,但是没有混沌现象.只有当不同事件的动力学起伏强度不同时才能同时观察到多粒子末态的间歇与混沌行为.这说明,在高能碰撞中,分形与混沌是两个相互联系但又不同的非线性动力学性质.     

核–核碰撞间歇现象的混合效应

通过对核-核碰撞中归一化阶乘矩反常标度性的一些实验结果的观察,发现在末态高维相空间中,阶乘矩和空间分割数的双对数图呈急剧上翘的现象. 经过仔细分析,用核-核碰撞是许多基元碰撞混合叠加的观点,对上述现象进行了定性的解释. 基于这一观点,建立了一个随机级联模型,用Monte Carlo方法给出了与实验现象的定性符合,讨论了这一结果的可能的应用.     

高能多粒子产生反常标度性研究中的相空间变量选择

讨论高能多粒子产生反常标度性研究中的各种相空间变量选择.为了克服几种常用的横向相空间变量的缺点,引入了一组新的横向变量.这组变量在讨论高能多粒子产生中的反常标度性时有优越性.给出了这组新变量的统计分布及数值特征,讨论了它们之间的独立性,给出了相应的累积变量.     

400GeV/c pp碰撞间歇指数的测量

利用CERNNA27合作组提供的LEBC泡室照片对400GeV/c pp碰撞产生的带电粒子赝快度分布进行了测量.计算了标度阶乘矩.得出间歇指数随矩阶数的增加而增加,随平均多重数的增加而变小;反常分形维数dq随q的增加而增加.这表明在强子-强子碰撞中多粒子产生具有自相似级联的性质.     

随机级联模型的连续标度行为

将传统的阶乘矩统计方法推广到分割数或相空间元胞大小连续变化的情形,发现以往元胞大小分立变化的随机级联α模型存在＂链条效应＂,没有连续的标度率.考虑到实验过程及实际测量情况,对模型进行了切合实际的改进,让相空间的大小和位置随机起伏.这样得到的分形体,在相空间范围的起伏足够大时,有较好的标度不变性.能达到这一要求的相空间范围起伏的临界值,对模型参数α不敏感.用Monte Carlo模拟证明了,相空间范围的起伏对模型的反常标度指数影响不大.     

高能碰撞多粒子末态间歇现象与关联积分的研究

用理论分析和Monte Carlo模拟表明:研究间歇现象时用关联积分代替阶乘矩的统计会改变快度bin减小时的反常标度行为. 指出,关联函数积分与阶乘矩可能分别反映不同的物理内容.提出了一种随机移动分bin起点的统计阶乘矩方法以消除分bin造成的人为因素.证明了,“钉子”事件对间歇指数有重要贡献.     

正负电子对撞多粒子末态的动力学起伏

运用Jetset产生器分别在实验室系和冲度轴坐标系中对e⁺e^—对撞多粒子末态中阶乘矩的标度性质进行了研究.在这两种情况下,用各向同性的相空间分割得到的三维InF₂～InM都近似于直线,表明e⁺e^－对撞末态相空间中的动力学起伏近似各向同性.在实验室系中由p_x,p_y,p_z的F²～M拟合Ochs公式得到的三个γ值近似相等;在冲度轴系中,在φ方向上适当选取起始拟合点,三个γ值也比较相近,进一步肯定了这一论断.这一结果表明,软、硬过程动力学起伏的本质特征──各向异性或(近似)各向同性,可以通过碰撞过程中阶乘矩标度性质的研究而揭示出来.因此,深入研究各种碰撞过程中阶乘矩的标度性质,对于了解碰撞动力学的本质有重要意义.     

Intermittency in 3.7 A GeV ^16O-emulsion interactions

The intermittency effect has been studied for an interaction of 3.7 A GeV ^16O with emulsion using the distributions of both the pseudorapidity intervals and the azimuthal angle intervals of the shower particles emitted in a central rapidity region. The scaled factorial moments, reduced scaled factorial moments and multifractal moments as functions of the bin size in pseudorapidity and in azimuthal angle have been calculated and have revealed the presence of an intermittent behaviour which may be due to the random cascading property of the reaction. The anomalous fractal dimension has been found to increase with the increase of rank of the moment.     

3.7A GeV 16O-Em作用中的间歇行为

对3.7A GeV ¹⁶O-Em作用产生的慢粒子标度阶乘矩分布进行研究, 得出间歇指数随矩阶数的增加而增加, 随靶核质量的增加而减小; 反常分形维数 随q的增加而增加; 对于每一个q值, d_q随平均多重数的增加而减小, 表明在3.7A GeV ¹⁶O-Em作用中多粒子产生具有自相似级联的性质.     

Evidence of self-affine multiplicity fluctuation of target residues in 84Kr-AgBr interactions at 1.7 AGeV

Self-afline multiplicity scaling is investigated in the framework of a two-dimensional factorial mo-ment methodology using the concept of the Hurst exponent (H). Analyzing the experimental data of target evaporated fragments emitted in84Kr-AgBr interactions at 1.7 AGeV revealed that the best power law behav-ior is exhibited for H = 0.3 indicating a self-affine multiplicity fluctuation pattern. A signal of multifractality is also observed from knowledge of the anomalous fractal dimension dq extracted from the intermittency exponent aq of the anisotropic phase space scenario.     

On the random cascading model study of anomalous scaling in multiparticle production with continuously diminishing scale

The anomalous scaling of factorial moments with continuously diminishing scale is studied using a random cascading model. It is shown that the model currently used have the property of anomalous scaling only for descrete values of elementary cell size. A revised model is proposed which can give good scaling property also for continuously varying scale. It turns out that the strip integral has good scaling property provided the integral regions are chosen correctly, and that this property is insensitive to the concrete way of self-similar subdivision of phase space in the models.     

Evidence of intermittent fluctuation of target fragments in ^84Kr-AgBr interactions at 1.7 A GeV

Intermittency and fractal behaviour have been studied of emission spectra of target associated fragments from ^84Kr-AgBr interactions at 1.7 A GeV in emission angle space and azimuthal angle space separately. The intermittent behaviour is observed in the two spaces separately. Prom the intermittency exponent, the anomalous fractal dimension dq is calculated and the variation of dq with the order q is investigated. It is found that the anomalous dimensions are found to increase with the order of moments q, thereby indicating the relation of multifractality to production mechanism of target associated fragments.     

α模型中不固定多重数下的阶乘矩、粒子数关联矩

利用二维相空间自仿射分形的随机级联α模型,采用蒙特卡罗模拟的方法,研究了阶乘矩､粒子数关联矩在不固定多重数下,对应于多重数相对起伏强度n_f的依赖关系,得到:阶乘矩、粒子数关联矩依赖于多重数相对起伏n_f,但间歇指数一般不依赖于n_f,当n_f较小时这种依赖性得以消除.     

Intermittent type fluctuation of target fragments produced in 16O-AgBr interactions at 4.5 AGeV/c

A study of intermittency of target associated fragments produced in the interactions of 16OAgBr at 4.5 AGeV/c with nuclear emulsion using the method of factorial moments,Fq,has been performed. The dependence of the moments on the number of bins M is found to follow a power law behavior for the experimental data in terms of new scaled variable X(z) suggested by Bialas and Gazdzicki.The anomalous dimensions,dq,increase linearly with the order of moments,q.This observation indicates the association of multifractility with production mechanism of target associated fragments.     

Intermittency in the Ginzburg-Landau model for parton-hadron phase transitions

The formalism of squeezed states within Ginzburg-Landau theory is used to describe parton-hadron phase transitions in processes involving the production of rather high energy densities. Normalized factorial moments are studied as functions of a bin width of phase space at various squeezing parameters. The intermittency effect and scaling behavior of the moments under consideration are revealed. The values obtained for the scaling exponent agree with experimental data at small values of the squeezing parameter.