Study of the Proton Halo Structure of Nuclei 23Al and 27P Using the Binary Cluster Model

Abstract

The Binary Cluster Model (BCM) was employed within the single particle wave functions of Gaussian and harmonic oscillator potentials to study the ground state density distributions of proton-rich 23Al and 27P halo nuclei. The long tail performance was clearly noticed in the calculated proton and matter density distributions of these nuclei. Elastic form factors of these exotic nuclei were studied by the Plane Wave Born Approximation (PWBA). It were found that the major difference between the calculated form factors of unstable nuclei [23Al, 27P] and those of their stable isotopes [27Al, 31P] is caused by the variation in the proton density distributions, especially the details of the outer part. Moreover, the matter root-mean-square (rms) radii and reaction cross sections for these exotic nuclei were studied by means of the Glauber model with an optical limit approximation using the ground state densities of the projectile and target, where these densities are described by single Gaussian functions. The calculated results of rms radii and reaction cross sections were in good agreement with the data.