Lepton Scattering Cross Section and Nuclear Structure Function of 4He and 12C Nuclei


This paper is an effort to extract the structure function, the EMC ratio, and the lepton scattering cross section in the convolution nuclear theory framework for 4He and 12C nuclei. We suppose that, in conventional approach, based on harmonic oscillator model, one could consider for a nucleus shell different hw parameters which are associated with the square root of the mean radius of the nucleus shells. We use GRV free nucleon structure function, which has good agreement with the proton and neutron structure function, extracted from experimental results. In addition, the lepton scattering cross sections of 4He and 12C nuclei are calculated in energy higher than 1 GeV. The extracted results show good agreement with experimental data.

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M. Musavi, N. Nikkhoo and F. Zolfagharpour, "Lepton Scattering Cross Section and Nuclear Structure Function of 4He and 12C Nuclei," World Journal of Nuclear Science and Technology, Vol. 3 No. 4, 2013, pp. 131-135. doi: 10.4236/wjnst.2013.34022.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] S. D. Drell and T. M. Yan, “Connection of Elastic Electromagnetic Nucleon Form Factors at Large Q2 and Deep Inelastic Structure Functions near Threshold,” Physics Review Letters, Vol. 24, No. 4, 1970, pp. 181-186. http://dx.doi.org/10.1103/PhysRevLett.24.181
[2] J. J. Aubert, G. Bassompierr, K. H. Becks, C. Best, E. Bohm, X. de Bouard, F. W. Brasse, et al., “The Ratio of the Nucleon Structure Functions F2N for Iron and Deuterium,” Physics Letters B, Vol. 123, No. 3-4, 1983, pp. 275-277. http://dx.doi.org/10.1016/0370-2693(83)90437-9
[3] W. B. Atwood and G. B. West, “Extraction of Asymptotic Nucleon Cross Sections from Deuterium Data,” Physical Review D, Vol. 7, No. 3, 1973, pp. 773-783. http://dx.doi.org/10.1103/PhysRevD.7.773
[4] A. Bodek and J. L. Ritchie, “Fermi-Motion Effects in DeepInelastic Lepton Scattering from Nuclear Targets,” Physical Review D, Vol. 23, No. 5, 1981, pp. 1070-1091. http://dx.doi.org/10.1103/PhysRevD.23.1070
[5] S. V. Akulinichev, S. Shlomo, S. A. Kulagin and G. M. Vagradov, “Lepton-Nucleus Deep-Inelastic Scattering” Physical Review Letters, Vol. 55 No. 21, 1985, pp. 2239-2241. http://dx.doi.org/10.1103/PhysRevLett.55.2239
[6] S. V. Akulinichev, S. A. Kulagin and G. M. Vagradov, “The Role of Nuclear Binding in Deep Inelastic LeptonNucleon Scattering,” Physics Letters B, Vol. 158, No. 6, 1985, pp. 485-488. http://dx.doi.org/10.1016/0370-2693(85)90799-3
[7] P. Hoodbhoy and R. L. Jaffe, “Quark Exchange in Nuclei and the European Muon Collaboration Effect,” Physical Review D, Vol. 35, No. 1, 1987, pp. 113-121. http://dx.doi.org/10.1103/PhysRevD.35.113
[8] T. Uchiyama and K. Saito, “European Muon Collaboration Effect in Deuteron and in Three-Body Nuclei,” Physical Review C, Vol. 38, No. 5, 1988, pp. 2245-2250. http://dx.doi.org/10.1103/PhysRevC.38.2245
[9] E. L. Berger and F. Coester, “Nuclear Effects in DeepInelastic Lepton Scattering,” Physical Review D, Vol. 38, No. 5, 1985, pp. 1071-1083. http://dx.doi.org/10.1103/PhysRevD.32.1071
[10] L. L. Frankfurt and M. I. Strikman, “High-Energy Phenomena, Short-Range Nuclear Structure and QCD,” Physics Reports, Vol. 76, No. 4, 1981, pp. 215-347. http://dx.doi.org/10.1016/0370-1573(81)90129-0
[11] G. Cattapan and L. Ferreira, “The Role of Δ in Nuclear Physics,” Physics Report, Vol. 362, No. 5-6, 2002, pp. 303-407. http://dx.doi.org/10.1016/S0370-1573(01)00093-X
[12] M. Gluck, E. Reya and A. Vogt, “Dynamical Parton Distributions of Parton and Small-x Physics,” Z Physics C, Vol. 67, No. 3, 1995, pp. 433-447. http://dx.doi.org/10.1007/BF01624586
[13] M. A. Preston and R. K. Bhaduri, “Structure of Nucleus,” Addison-Wesley Publishing Company, 1982.
[14] R. C. Barratt and D. F. Jackson, “Nuclear Sizes and Structure,” Oxford University Press, Oxford, 1977.
[15] M. Arneodo, A. Arvidson, B. Badelek, M. Ballintijn, G. Baum, J. Beaufays, et al., “Measurement of the Proton and Deuteron Structure Functions, Fp2 and Fd2, and of the Ratio σL/σT,” Nuclear Physics B, Vol. 483, No. 1-2, 1997, pp. 3-43. http://dx.doi.org/10.1016/S0550-3213(96)00538-X
[16] K. Ackerstaff, A. Airapetian, N. Akopov, I. Akushevich, M. Amarian, E. C. Aschenauer, et al., “Nuclear Effects on R = σL/σT in Deep-Inelastic Scattering,” Physics Letters B, Vol. 475, No. 3-4, 2000, pp. 386-394. http://dx.doi.org/10.1016/S0370-2693(99)01493-8
[17] M. Arneodo, “Nuclear Effects in Structure Functions,” Physics Reports, Vol. 240, No. 5-6, 1990, pp. 301-393. http://dx.doi.org/10.1016/0370-1573(94)90048-5
[18] D. F. Geesaman, K. Saito and A. W. Thomas, “The Nuclear EMC Effect,” Annual Review Nuclear Particle Science, Vol. 45, No. 1, 1995, pp. 337-390. http://dx.doi.org/10.1146/annurev.ns.45.120195.002005
[19] R. G. Arnold, P. E. Bosted, C. C. Chang, J. Gomez, A. T. Katramatou, G. G. Petratos, et al., “Measurements of the A Dependence of Deep-Inelastic Electron Scattering from Nuclei,” Physics Review Letters, Vol. 52, No. 9, 1984, pp. 727-730. http://dx.doi.org/10.1103/PhysRevLett.52.727
[20] S. D. Drell and J. D. Walecka, “Electrodynamic Processes with Nuclear Targets,” Annals Physics, Vol. 28, No. 1, 1964, pp. 18-33. http://dx.doi.org/10.1016/0003-4916(64)90141-1
[21] J. Gomez, R. G. Arnold, P. E. Bosted, C. C. Chang, A. T. Katramatou, G. G. Petratos, et al., “Measurement of the A Dependence of Deep-Inelastic Electron Scattering,” Physical Review D, Vol. 49, No. 9, 1994, pp. 4348-4372. http://dx.doi.org/10.1103/PhysRevD.49.4348
[22] O. Benhar and V. R. Pandharipande, “Scattering of GeVElectrons by Light Nuclei,” Physical Review C, Vol. 47, No. 5, 1993, pp. 2218-2227. http://dx.doi.org/10.1103/PhysRevC.47.2218
[23] D. Day, “Scaling and Short Range Correlations in Inclusive Electron-Nucleus Scattering at High Momentum Transfers,” 6th International Conference on Perspective in Hadronic Physics ICTP, Trieste, 12-16 May 2004.

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