Research On The Correlation Between Electron And Proton Spectrum In High-energy Cosmic Rays

The origin and propagation of high-energy cosmic rays have been researched for many years.Recently,new experimental data measured by more accurate detections show that these cosmic ray spectra have abnormal behaviors.For example,The Alpha Magnetic Spectrometer(AMS-02)recorded an excess structure in the electron-positron spectrum around 1TeV,Fermi-Large Telescope(Fermi-LAT),Dark Matter Particle Detector(DAMPE)and Calorimetric Electron Telescope(CALET)have also discovered the power-law broken phenomenon of high-energy cosmic rays.These discoveries aroused great interests because they may be related to dark matter signals On the other hand,the high-altitude balloon detector and the space experiment particle detector also reported the broken power-law of proton spectrum,namely the hardening of the TeV proton spectrum.Many possible explanations have been put forward,such as the influence of the energy spectrum of cosmic ray sources,the influence of propagation through the Milky Way,the influence of sources near the earth,etc.It is still a controversial issue.Although the above models can explain the electron and proton spectrum separately,different mechanisms are used in the interpretations.In this paper,we use the gluon condensation(GC)model to study the electron and proton spectrum,and found the connections between their power-law broken phenomenon The collisions of high-energy protons and protons(or protons and nuclei)are common events in cosmic space,and the collisions will produce many secondary particles(electron-positron,meson,proton-antiproton,etc.).The gluons inside the protons dominate these collisions.A QCD analysis shows that the gluons will converge to a state at a threshold energy in high energy protons,this is the gluon condensation.The secondary particles will increase significantly at the corresponding GC energy threshold.This phenomenon makes the power law spectrum of cosmic rays breaking,which has a significant impact on the electron spectrum and proton spectrum.In this article,we consider the excess of electrons coming from the gluon condensation through the process of p+p(A)??0???e+e-.In addition to mesons,proton-antiprotons are also the products of p-p(A)collisions.In GC conditions,particles almost have no kinetic energy in their CM-system,so the maximum amounts of secondary particles can be generated.We use the GC model to analyze the electron spectrum and the proton spectrum,and find that the relationship(?)can well link the broken power-law relationship between the electron and proton spectrum near the GC threshold.This prediction is in good agreement with the experimental results.Based on this relation,we can predict the position of the spectrum peak of electron or proton at higher energy,and we look forward to check our predictions in future experiments.