Research On The Relationship Between Parton Distributions And Fragmentation Functions Of Proton

In recent years,with the colliding energy becoming larger and larger in high energy experiments,people have known much more about the substructure of nucleon.Almost in all these experiments,parton distribution functions and fragmentation functions are inenvitable knowledges when studying or analyzing the experiments.At present,the study of parton distribution function is mature relatively.The parameters of proton distribution functions given by different research groups are roughly identical,and the difference is very small.However,comparing the parameters of the fragmentation functions given by three research groups,we find that the differences between them are very large,and we can not find the common properties between them.It means that people do not really know the proton fragmentation functions yet and it is significant to study on it.The relationship between the valence quark distribution function of proton and the fragmentation function is analyzed,we find that the relationship(28)xqx D)(6/1)(can relate them better.So we want to get the proton fragmentation function by the proton distribution function which is already familiar for us.Based on these new proton fragmentation function,the corresponding differential scattering cross sections are calculated and compared with the experimental data.From this work,We want to obtain more accurate proton fragmentation functions and to reduce the uncertainty when we fit parton fragmentation functions in the future.In this paper,we have done the following work:1.We compare and discuss the proton fragmentation functions given by three common research groups(HKNS,DSS and NSM).The differences between them are very large,and we can not find the common properties between them.2.We find a simple relation(28)xqx D)(6/1)(which can relate the valence quark distribution function of proton with the fragmentation function well,and we give the detailed theoretical derivation.3.Through the relation between the valence quark distribution function of proton and the fragmentation function,we obtain the proton fragmentation function by using the well-known proton distribution functions,and give a group of new parameterizations of fragmentation functions of proton.4.We calculate the observable differential cross section by using the given new parameterizations of the fragmentation function of proton.It is found that the results are agreement with the experimental data.At the same time,our parameterizations of fragmentation functions of proton is also within the scope of a recent study on the range of fragmentation functions.