Superscaling in Nuclei: a Scaling Function beyond the Relativistic Fermi Gas Model

A. N. Antonov1,2, M. K. Gaidarov1, D. N. Kadrev1, M. V. Ivanov1, E. Moya de Guerra3, J. M. Udias2

1Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia 1784, Bulgaria
2Departamento de Fisica Atomica, Molecular y Nuclear, Facultad de Ciencias Fisicas, Universidad Complutense de Madrid, Madrid E-28040, Spain
3Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain

A scaling function for inclusive electron scattering was constructed [1] within the Coherent Density Fluctuation Model (CDFM) [2]. The latter is a natural extension to finite nuclei of the Relativistic Fermi Gas Model within which the scaling variable psi' was introduced [3]. It was shown that the high-momentum components of the nucleon momentum distributions in the CDFM and their similarity for different nuclei explain quantitatively the superscaling in nuclei for negative values of psi', including also those smaller than psi'<-1.

References

[1] A. N. Antonov, M. K. Gaidarov, D. N. Kadrev, M. V. Ivanov, E. Moya de Guerra, and J. M. Udias, (2004) Phys. Rev. C 69 044321.

[2] A. N. Antonov, V. A. Nikolaev, and I. Zh. Petkov, (1979) Bulg. J. Phys. 6, 151; (1980) Z. Phys. A297 257; (1982) ibid. A304 239; A. N. Antonov, P. E. Hodgson, and I. Zh. Petkov, (1988) Nucleon Momentum and Density Distributions in Nuclei (Clarendon Press, Oxford); A. N. Antonov, P. E. Hodgson, and I. Zh. Petkov, (1993) Nucleon Correlations in Nuclei (Springer-Verlag, Berlin-Heidelberg-New York).

[3] T. W. Donnelly and I. Sick, (1999) Phys. Rev. Lett. 82, 3212.

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