Theoretical Study of the Nuclear Structure for Some Exotic Nuclei (9C, 23Al and 27P) using Unitary Correlation Operator Method

Abstract

The nuclear structure of some one-proton exotic nuclei (⁹C, ²³Al and ²⁷P) was investigated using the Unitary Correlation Operator Method (UCOM). The nuclei were divided into two regions: the core and the valence nucleons. A transformation from the one-body to the two-body framework was applied, incorporating the correlation operator C, which accounts for both tensor correlations (C_Ω) and short-range central correlations (C_r). The density distributions for each region were then computed separately, and the total density was determined. From this, the expectation value of the density was calculated, leading to the determination of the mean square radius. The Plane Wave Born Approximation (PWBA) was used to study these nuclei for elastic electron scattering. Based on the computed results, it was found that this model provides an accurate and reliable description of the nuclear structure of the studied halo nuclei. A comparison between the calculated values of the mean square radius and experimental data demonstrated strong agreement, confirming the validity of the approach for describing the structure of halo nuclei.