Abstract
The nucleon momentum distributions (NMD) and elastic electron scattering form factors of the ground state for some 1f-2p-shell nuclei, such as 58Ni, 60Ni, 62Ni, and 64Niisotopes have been calculated in the framework of the coherent fluctuation model (CFM) and expressed in terms of the weight function lf(x)l2 . The weight function (fluctuation function) has been related to the nucleon density distribution (NDD) of the nuclei and determined from the theory and experiment. The NDD is derived from a simple method based on the use of the single particle wave functions of the harmonic oscillator potential and the occupation numbers of the states. The feature of the long-tail behavior at high momentum region of the NMD’s has been obtained by both the theoretical and experimental weight functions. The calculated elastic electron scattering form factors for considered isotopes are in reasonable agreement with those of experimental data throughout all values of momentum transfer q.
Highlights
There is no method for directly measuring the nucleon momentum distribution (NMD) in nuclei
The experimental evidence obtained from inclusive and exclusive electron scattering on nuclei established the existence of long-tail behavior of the NMD at high momentum region ( k 2 fm 1 ) [1,2,3,4,5,6]
In the past few years, some theoretical studies of elastic electron scattering off exotic nuclei have been performed
Summary
There is no method for directly measuring the nucleon momentum distribution (NMD) in nuclei. There are several theoretical methods used to study elastic electron-nucleus scattering, such as the plan-wave Born approximation (PWBA), the eikonal approximation and the phase-shift analysis method [9,10,11,12,13,14,15]. RocaMaza et al [13] systematically investigated elastic electron scattering off both stable and exotic nuclei with the phase-shift analysis method. Chu et al [15] have studied the elastic electron scattering along O and S isotopic chains and shown that the phaseshift analysis method can reproduce the experimental data very well for both light and heavy nuclei
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