Abstract
The nucleon momentum distributions (NMD) for the ground state and elastic electron scattering form factors have been calculated in the framework of the coherent fluctuation model and expressed in terms of the weight function (fluctuation function). The weight function has been related to the nucleon density distributions of nuclei and determined from theory and experiment. The nucleon density distributions (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 long-tail behavior at high momentum region of the NMD has been obtained using both the theoretical and experimental weight functions. The observed electron scattering form factors for 48Ti and 54Fe nuclei are in reasonable agreement with the present calculations throughout all values of momentum transfer q.
Highlights
The study of momentum wave functions is a powerful tool in studying the ground state properties of nuclei, the momentum distribution of nucleons
which is connected with the local density
54 Fe nuclei are in reasonable agreement with the present calculations
Summary
The study of momentum wave functions is a powerful tool in studying the ground state properties of nuclei, the momentum distribution of nucleons. Very recently, Roca-Maza 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 phase-shift analysis method can reproduce the experimental data very well for both light and heavy nuclei. In the coherent fluctuation model ( CFM ), which is exemplified by the work of Antonov et al [4, 16], the local NDD and the NMD are related and expressed in terms of an experimentally obtainable fluctuation function (weight function) f (x) 2. They [4, 16] investigated the NMD of ( 4 He and 16O ), 12C and ( 39 K, 40Ca and 48Ca )
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