Matter Density Distributions, Root-mean Square Radii and Elastic Electron Scattering Form Factors of Some Exotic Nuclei (17B, 11Li, 8He)

Abstract

The two-neutron halo-nuclei (17B, 11Li, 8He) was investigated using a two-body nucleon density distribution (2BNDD) with two frequency shell model (TFSM). The structure of valence two-neutron of 17B nucleus in a pure (1d5/2) state and in a pure (1p1/2) state for 11L and 8He nuclei. For our tested nucleus, an efficient (2BNDD's) operator for point nucleon system folded with two-body correlation operator's functions was used to investigate nuclear matter density distributions, root-mean square (rms) radii, and elastic electron scattering form factors. In the nucleon-nucleon forces the correlation took account of the effect for the strong tensor force (TC's). The wave functions of single particle harmonic oscillator are used with two different oscillator size parameters βc and βv, where the former is for the core (inner) orbits and the latter is for the valence (halo) orbits. The measured matter density distributions of these nuclei clearly showed long tail results. To investigate elastic electron scattering form factors the plane wave born approximation (PWBA) with two body nucleon density distribution (2BNDD's) was use.

Realistic Shell Model Interpretation for the Nuclear Structure of Some 1f-2p Shell Nuclei

“…Gul'karov et al [8] have proposed a simple method of calculation of the CDD for the nuclei in sp and sd shell. The HO wave functions beside the fractional filling numbers of states were used to calculate the CDD of 12 C, 16 O, 18 O, 24 Mg, 28 Si, 32, 34 S, and 40,48 Ca nuclei. The additional parameter  , was included in calculations and a good agreement was achieved between the CDD and model-independent results along all values of r. This method has been adopted by several studies to investigate the nuclear ground-state properties such as the occupation numbers, root mean square (rms) radii, CDD, and related form factors for 1p-shell nuclei [9], 1d-2s shell nuclei [10][11][12], and 1f-2p shell nuclei [13,14].…”

Elastic Form Factors and Matter Density Distributions of Some Neutron-Rich Nuclei

“…Due to their exotic properties, studying exotic (halo) nuclear structures at the proton and neutron drip lines has become a hot subject in modern nuclear physics [1][2][3][4][5]. The halo effect is caused by the last few nucleons' low separation energy and occupation of states with =0,1 which allows the halo nucleon wave functions to extend to large matter radii [6].…”