The internal conversion coefficients have been measured using a high resolution low energy Ge(Li) detector for the following M4 transitions: lZSTe: 109.27 keV transition c~r=357_+ 11; RG method, ~27Te: 88.26 keV transition c~K=484+23; XPG method, ~29Te: 105.50 keV transition ~t~ = 213 + 10; XPG method.It is observed that these values are lower by 2.5-3.6% as compared with Hager and Seltzer's calculations. A comparison between experimental and theoretical eK and ~r values for eleven M4 transitions shows that the experimental values are systematically lower.

We present here detailed results on the multifractal structure analysis in one-dimensional ( eta or phi ) and two-dimensional ( eta - phi ) phase spaces for different nuclear targets in proton-emulsion nuclei interactions at 800 GeV. The multiplicity moments have a power-law dependence on the mean multiplicity in varying bin sizes in eta , phi and ( eta - phi ) spaces for different nuclear targets. The values of the generalized dimensions Dq are evaluated from the slopes for different phase spaces and targets. We find that Dq decreases with q for a given phase space and target. For fixed q the value of Dq increases with the target mass. The behaviour of Dq and the related spectrum typifies multifractality, thereby supporting a possible cascade mechanism in multiparticle production. The measure of inhomogeneity in the distribution, 1-Dq, decreases with multiplicity in an inverse ratio.

We use scaled factorial moments ͑SFM's͒ to analyze pseudorapidity fluctuations of nonstatistical origin in p-nucleus interactions at 800 GeV. The SFM's are found to exhibit a power-law dependence on the pseudorapidity interval size. The anomalous dimensions d q have been calculated up to order 5. The fractional dimensions D q have been extracted from the slopes of the multifractal plots. Both the multifractal and intermittency approaches have been found to be complementary to each other. The behavior of D q and d q with order q indicates a possible self-similar random cascading mechanism for multiparticle production.

Various probability distributions which have been proposed to explain the charged particle multiplicity distributions in high energy collisions are shown to arise from the evolution equation of a pure birth process subject to appropriate initial conditions. For example, both the negative binomial distribution (NBD) as well as the partially coherent laser distribution (PCLD) can be obtained in this way. New interrelations between some of these probability distributions are also brought out.

The short-range correlations in rapidity whose existence has been firmly established in high-energy interactions are used to explain chaotic multiplicity behavior in proton-nucleon collisions at 800 GeV. In order to determine the values of higher-order moments from the second-order moment, we have used the pure birth approximation which is in agreement with the "linked pair" approximation of Carruthers.The calculated values of the normalized factorial moments for a given bin size show a good agreement with our data.PACS number(s): 13.85.Hd, 74.40. +kThe recent observation of nonstatistical, multiplicity fluctuations in rapidity has generated considerable interest. In order to explain the behavior of the factorial moments, Carruthers et al. [I-41 have proposed an interesting formalism to explain the observed multiplicity moments in terms of the two particle, short-range correlations. Such correlations lead in a natural way to the observed multiplicity moments, without any further approximations. Following this viewpoint, we explore here the relevance of correlations over a limited range of rapidity bin sizes to the multiplicity fluctuations observed in 800 GeV proton-nucleon interactions. The methodology for this investigation is developed and the results obtained from our data analysis are discussed.The strength of correlation of a specific order is measured by cumulant moments which remove from any multiplicity moment of a given order the contribution from all lower orders of multiparticle correlations. Therefore, in order to evaluate the true higher-order correlations we decompose ordinary factorial moments into factorial cumulant moments [5]. The correlations in rapidity variable y are measured by bin-averaged multiplicity moments. For a given rapidity bin size 6 y = Y / M obtained by dividing the rapidity interval Y into a total of M bins. The normalized factorial cumulant moments are defined as ( 1 ) where are the cumulant correlation functions expressed in terms linear size 6 y . Decomposing the f q into cumulant correof the q-particle density correlation functions f , . Define lation functions by means of a cluster expansion 7, as [equivalent to the inverse of Eq. ( 2 ) ] one relates the bin-(3) averaged normalized factorial moments y m = ( n , ) / 6 y , 1 M ( n , ( n , -l ) . . .which is the mean one-particle rapidity density that is as- ~~( 6~) = -2 ( n , -q + 1 ) )sumed not to vary appreciably within a given bin inter-M m = I (n, )B val, where n , is the hadron multiplicity in a bin m. Each variable of integration yi in Eq. (1) is within the 6 y range ---' i J n d y i f q ( Y l , . . . , Y q ) (4) and the domain of integration am is the hypercube of M ( 6 y ) q m = l n rn i (7, )q