A Study On The Generation Of J/Ψ Under The Framework Of Colored Glass Condensation

Color glass condensate is a theory put forward by scientists in the 1990s to describe the phenomenon of gluon saturation.In the process of high-energy collision,the particles will increase with the increase of energy,in which the gluon density will also increase,and finally form a gluon saturation state.In recent years,scientists have also found evidence of the existence of gluon-saturated substances in experimental research.Therefore,the research on the generation of hadrons in the framework of color glass condensate is a very important field in the research of high energy physics.In this paper,we will use the color dipole model to calculate the hadronic production in the framework of color glass condensate.In this model,the process of hadronic production can be divided into three processes,in the first process,nucleons will split to form quarks and antiquarks,the second process is that q(?) and nucleons interact with each other by exchanging gluons,and the third process is that q(?) recombines to form hadrons.Therefore,we obtain the numerical dipole amplitudes by solving the LOBK equation,rc BK equation and ci BK equation,and use three kinds of dipole amplitudes to calculate the total cross section and differential cross section produced by J/Ψ in the process of exclusive and dissociative diffraction.In the process of exclusive and dissociative,we compare the theoretical results calculated under three dipole amplitudes with the experimental data of HERA and LHC,and the results show that the next leading model can well describe the experimental data.There are two innovations in this paper.the first innovation is that the dipole scattering amplitude model for calculating the exclusive process and dissociative process is improved from the LO model to the NLO model,so that the accuracy of the dipole model is improved and can well describe the experimental data of HERA and LHC.The second innovation is to improve the hot spot model and introduce the influence of virtuality Q~2 on the number and size of hot spots.We extend the hot spot model include the virtuality dependence,and use this model to study the cross sections of the collinear improved dipole amplitude calculation exclusive and dissociative process J/Ψ under the rapidity representation of the target(η).The collinear improved BK equation under the expression of target rapidity is solved numerically,and the J/Ψexperimental data are fitted with a series of hot spot sizes.We find that the number of hot spots in the model increases with the increase of Q~2,and the number of hot spots increases with the decrease of hot spot size.It is found that virtuality has a significant effect on the number and size of hot spots.The collinear improved dipole amplitude(ciBK-)χ~2/(d.o.f)=1.0183 under the expression of target rapidity is more reasonable than that in the case of corresponding leading order χ~2/(d.o.f)=1.3995.The results show that the collinear improved dipole scattering amplitude under the target rapidity expression and the hot spot model considering the effect of imaginary degree can well describe the HERA experimental data in the process of exclusive and dissociative.