Investigation of Pionic Contribution in the Lepton and Antilepton Production Cross Section in p-Cu and p-Pt Collision

R Rostami,F Zolfagharpour

doi:10.1155/2016/1402767

R Rostami, F Zolfagharpour

Open Access

https://doi.org/10.1155/2016/1402767

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Abstract

For detailed explanation of the experimental results of lepton production cross section in hadronic collisions such as nucleon-nucleon or nucleon-nuclei, it is of great importance to use quarks and sea quarks distribution function inside free and bound nucleons. In this paper, the role of pion cloud inside the nucleus in the structure function of Cu and Pt nuclei and the EMC ratio of these nuclei were investigated by using harmonic oscillator model. Then, in the framework of the Drell-Yan process and conventional nuclear theory, GRV’s quarks distribution functions and pionic quarks distribution functions were used to calculate lepton and antilepton production cross section in p-Cu and p-Pt scattering. From the results and based on the mentioned model, by considering pionic contribution, the theoretical results are improved.

Highlights

Nuclei are made up of protons and neutrons bounded by strong nuclear forces,with the binding energy much less than the rest mass of the nucleons.it is expected that scattering cross section of the leptons from nucleus be obtained from non-coherent summation of scattering cross sections from individual bound nucleons[1,2,3,4,5]
The researches done by many other groups, such as Thomas and his colleagues in the following years[1,9,10] showed that pure fermi motion cannot explain the EMC effect and that binding energy plays an important role.Their effect is the result of nuclear interactions which play an important role in the deep inelastic scattering of leptons from nuclei
By using the works of mentioned authors and others [3,9,10,11,12,13]to improve on previous results, the effect of Fermi motion and binding energy and pionic contribution was considered in extracting the quarks distribution functions inside the bound nucleon in the Cu and Pt nucleus,while other phenomena like shadowing effect and quark exchange were disregarded[9].the dileptons production cross sectionin +

Summary

Introduction

Nuclei are made up of protons and neutrons bounded by strong nuclear forces,with the binding energy much less than the rest mass of the nucleons.it is expected that scattering cross section of the leptons from nucleus be obtained from non-coherent summation of scattering cross sections from individual bound nucleons[1,2,3,4,5]. By using the works of mentioned authors and others [3,9,10,11,12,13]to improve on previous results, the effect of Fermi motion and binding energy and pionic contribution was considered in extracting the quarks distribution functions inside the bound nucleon in the Cu and Pt nucleus,while other phenomena like shadowing effect and quark exchange were disregarded[9].the dileptons production cross sectionin +. In order to improve on previous results, the pionic contribution in the dilepton production cross section in the framework of the Drell-Yan process and convention nuclear theory [3,9,10,11,12,13] was calculated by using harmonic oscillator model. Is the mass of dileptons. ei is the fractional electric charge of quark i. ( ) and ( ) are ith quark and antiquark distribution function inside A and B hadrons, respectively. ( ) is defined as [25]:

Results and discussion

Conclusions

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