Study of charge density distributions, elastic and inelastic electron scattering form factors and size radii for 24mg and 28si nuclei. Analyze charge density, electron scattering form factors, and size radii of 24Mg & 28Si nuclei with UCOM. Compares computed elastic & inelastic results to experimental data.
Unitary Correlation Operator Method (UCOM) has been used to inspect the ground state properties of 24Mg and 28Si nuclei, such as, charge densities, the root mean square () radii and elastic electron scattering form factors. Inelastic longitudinal electron scattering form factors have been computed for iso scalar or transition ∆T=0 of the () and ( transitions) for the 24Mg and 28Si nuclei. The results of the computations have been discussed, and a comparison of those results with the experimental data has occurred. It was assured that the unitary correlation operator method is suitable for studying the nuclear structure.
This paper presents a theoretical investigation into the nuclear structure of two light-medium nuclei, 24Mg and 28Si. Utilizing the Unitary Correlation Operator Method (UCOM), the authors aim to compute and analyze several fundamental properties, including charge density distributions, root mean square (RMS) radii, and both elastic and inelastic electron scattering form factors. The study focuses on understanding the intrinsic characteristics of these nuclei within a well-established theoretical framework, providing a comprehensive analysis of their ground and excited states. The methodology involves a thorough assessment of both ground state and excited state properties. For the ground state, the UCOM is applied to calculate charge densities, the RMS radii, and the elastic electron scattering form factors, offering insights into the static distribution of charge within the nuclei. Furthermore, the work extends to examining inelastic longitudinal electron scattering form factors, specifically for isoscalar (ΔT=0) E2 and E4 transitions in both 24Mg and 28Si. A crucial aspect of this research is the rigorous comparison of all computed results with available experimental data, which serves to validate the theoretical predictions and assess the method's accuracy. The abstract concludes by asserting that the Unitary Correlation Operator Method proves suitable for the study of nuclear structure, implying a good agreement between the theoretical calculations and experimental observations. This finding reinforces the applicability and reliability of UCOM in accurately describing the complex quantum mechanical behavior of nuclei, particularly for charge distributions and excitation mechanisms. The insights gained from this study contribute valuable information to the understanding of these important nuclei, potentially guiding future experimental and theoretical endeavors in nuclear physics.
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