Investigation Of Non-fluctuation On Emission Of Target Recoiled Protons In~4He-Em Interactions At12A GeV

Using method of scaled factorial moment, the non-statisticalfluctuation of target recoil protons emitted from12A GeV4Heinduced emulsion targets reactions is investigated. It is found that thescaled multiplicity factorial moment of target recoiled proton inemission angle and azimuth angle space increases firstly and thenbecomes saturation or decreases with the increase of the partitionnumbers of phase space.The non-statistical fluctuation of target recoil protons emittedfrom12A GeV4He induced emulsion targets in one-dimensionalhorizontal and vertical space are investigated. It found that the scaledfactorial moments increase firstly, have the non-statistic fluctuation.Use the corrected scaled factorial moments clear up the influence ofparticle density distribution, show there is no evidence ofnon-statistic fluctuation.Because the emission of target recoil protons is happened inthree-dimensional phase space, the dimensional decrease willweaken the phenomenon of fluctuation, so lower dimensionalanalysis can’t give a perfect conclusion. In two-dimensional phasespace, there shows a trend of increase firstly. That is to say, theemission of target recoil protons show the non-statistic fluctuation in two-dimensional phase space. Then we use the corrected scaledfactorial moments clear up the influence of particle densitydistribution and the cumulative variable is used to calculate thescaled factorial moments. It shows that the corrected horizontalscaled factorial moment and decrease with theincrease of the values of, it seems that there is nonon-statistical fluctuation.Finally we can draw a conclusion that there is no non-statisticalfluctuation.And the non-uniformity of particle multiplicity distributionleads to the non-statistical fluctuation, not dynamic process.