Abstract
The neutron, proton, and matter densities of the ground state of the proton-rich 23Al and 27P exotic nuclei were analyzed using the binary cluster model (BCM). Two density parameterizations were used in BCM calculations namely; Gaussian (GS) and harmonic oscillator (HO) parameterizations. According to the calculated results, it found that the BCM gives a good description of the nuclear structure for above proton-rich exotic nuclei. The elastic form factors of the unstable 23Al and 27P exotic nuclei and those of their stable isotopes 27Al and 31P are studied by the plane-wave Born approximation. The main difference between the elastic form factors of unstable nuclei and their stable isotopes is caused by the variation in the proton density distributions, especially the details of the outer part. Moreover, the Glauber model is used to calculate the matter rms radii and reaction cross-section of these exotic nuclei. The calculated results of the mentioned nuclei give a good accordance with the experimental data.
Highlights
Since the discovery of neutron halo in exotic light neutron-rich nuclei in the mideighties [1, 2], studies on halo phenomena have become a hot point in nuclear physics
The Binary Cluster Model (BCM) is used to analyze the features of ground state such as neutron, proton and matter densities and elastic form factors for the proton-rich 23Al Sp = 0.141 MeV, τ = 470 ms and 27P Sp = 0.87 MeV, τ = 260 ms [37, 38] exotic nuclei
According to the calculated results it was found: The BCM within the Gaussian and harmonic oscillator wave functions is remarkably capable of providing theoretical predictions on the structure of halo nuclei and be in a satisfactory description with those of experimental data
Summary
Since the discovery of neutron halo in exotic light neutron-rich nuclei in the mideighties [1, 2], studies on halo phenomena have become a hot point in nuclear physics. Alzubadi et al [26] calculated the mass density distributions, the associated nuclear radii and elastic electron scattering form factors of light exotic nuclei, 11Li, 11Be, 14Be and 8B using shell model (SM) and Hartree–Fock (HF) methods.
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