Affiliation:
1. Physics Department, University of Tehran, 1439955961 Tehran, Iran
2. Department of Physics, Tarbiat Modares University, Tehran, Iran
Abstract
The ambiguities proposed by Benhar et al., about the the different implementation of the impulse approximation for calculating the response function of many-fermion systems, are investigated theoretically in the frame work of simple harmonic oscillator shell model for the double closed shell nuclei, e.g. 4 He , 16 O and 40 Ca nuclei. For each nucleus as a finite system, we evaluate the response function by using its definition in terms of the one-body spectral function and the one-body momentum distribution. It is demonstrated analytically, that there exists a sizable shift between the two schemes for each nucleus, which increases as we switch to the heavier nuclei. So one can conclude that for the nuclei with atomic number less than 4, such as 2 H , 3 H or 3 He , it is good approximation to ignore this discrepancy. This conclusion is important for theoretical explanation of the ongoing deep inelastic scattering (DIS) experiments of 3 H or 3 H in the Jefferson Laboratory. However present calculation confirms the work of Modarres and Younesizadeh (2010), in which they have shown that, the above shift can be removed by imposing the impulse approximation in the same footing in the many-fermion wave-function.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Nuclear and High Energy Physics
Cited by
3 articles.
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