Extracting a New Value of the Slope of the Neutron Form Factor Compatible with Deuteron Properties

Mustafa, M. M.; Sultan, E. A.; Hassan, E. M.; Darwish, Dr. Eed M.

doi:10.21608/sjsci.2020.233181

Extracting a New Value of the Slope of the Neutron Form Factor Compatible with Deuteron Properties

Document Type : Regular Articles

Authors

¹ Physics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

² Physics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

³ Taibah University - College of Science

10.21608/sjsci.2020.233181

Abstract

We extract a new value b = 0.0205±0.0017 fm² of the slope of the neutron form factor G_En(q²) at q²= 0 compatible with deuteron properties by using a linear relation between b and A²_S(1+η²) we found for a class of nonlocal potential models having the experimental values of both r_D and Q. Another model dependent value b^MHKZ = 0.0206±0.0014 fm²
, which is also compatible with deuteron properties, has been determined by applying ”constrained” unitary transformations to the local MHKZ potential model. The sensitivity of a small changes in the experimental values used for r_D and Q on the value obtained for b is also investigated.

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