The ground state densities of unstable proton-rich 9C, 12N and 23Al exotic nuclei are studied via the framework of the two-frequency shell model (TFSM) and the binary cluster model (BCM). In TFSM, the single particle harmonic oscillator wave functions 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. In BCM, the internal densities of the clusters are described by single particle Gaussian wave functions. The long tail performance is clearly noticed in the calculated proton and matter density distributions of these nuclei. The structure of the valence proton in 9C and 12N is a pure (1p1/2) configuration while that for 23Al is mixed configurations with dominant (2s1/2). Elastic electron scattering proton form factors for 9C, 12N and 23Al are studied using the plane wave born approximation (PWBA). It is found that the major difference between the calculated form factors of unstable (exotic) [9C, 12N, 23Al] nuclei and those of stable [12C, 14N, 27Al] nuclei is attributed firstly to the influence of the proton density distributions of the last proton in unstable nuclei and secondly to the difference in the center of mass correction which depends on the mass number and the size parameter β (which is assumed in this case equal to the average of βc and βv). The reaction cross sections for 9C, 12N and 23Al are 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 reaction cross sections of 9C, 12N and 23Al at high energy are in good agreement with the data. The analysis of the present study supports the halo structure of these nuclei.
An effective two-body density operator for point nucleon system folded with two-body correlation functions, which take account of the effect of the strong short range repulsion and the strong tensor force in the nucleon-nucleon forces, is produced and used to derive an explicit form for ground state two-body charge density distributions (2BCDD's) and elastic electron scattering form factors F (q) for 19F, 27Al and 25Mg nuclei. It is found that the inclusion of the two-body short range correlations (SRC) has the feature of reducing the central part of the 2BCDD's significantly and increasing the tail part of them slightly, i.e. it tends to increase the probability of transferring the protons from the central region of the nucleus towards
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An effective two-body density operator for point nucleon system folded with the
tenser force correlations ( TC's), is produced and used to derive an explicit form for
ground state two-body charge density distributions (2BCDD's) applicable for
19F,22Ne and 26Mg nuclei. It is found that the inclusion of the two-body TC's has the
feature of increasing the central part of the 2BCDD's significantly and reducing the
tail part of them slightly, i.e. it tends to increase the probability of transferring the
protons from the surface of the nucleus towards its centeral region and consequently
makes the nucleus to be more rigid than the case when there is no TC's and also
leads to decrease the
1/ 2
2 r of the nucleus. I
An effective two-body density operator for point nucleon system
folded with the tenser force correlations( TC's), is produced and used
to derive an explicit form for ground state two-body charge density
distributions (2BCDD's) applicable for 25Mg, 27Al and 29Si nuclei. It is
found that the inclusion of the two-body TC's has the feature of
increasing the central part of the 2BCDD's significantly and reducing
the tail part of them slightly, i.e. it tends to increase the probability of
transferring the protons from the surface of the nucleus towards its
centeral region and consequently makes the nucleus to be more rigid
than the case when there is no TC's and also leads to decrease the
1/ 2
r 2 of the nucleu
The ground state proton, neutron and matter densities and
corresponding root mean square radii of unstable proton-rich 17Ne
and 27P exotic nuclei are studied via the framework of the twofrequency
shell model. The single particle harmonic oscillator wave
functions are used in this model with two different oscillator size
parameters core b and halo , b the former for the core (inner) orbits
whereas the latter for the halo (outer) orbits. Shell model calculations
for core nucleons and for outer (halo) nucleons in exotic nuclei are
performed individually via the computer code OXBASH. Halo
structure of 17Ne and 27P nuclei is confirmed. It is found that the
structure of 17Ne and 27P nuclei have 2
5 / 2 (1d ) an
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The elastic transverse electron scattering form factors have been studied for the 11Li nucleus using the Two- Frequency Shell Model (TFSM) approach. The single-particle wave functions of harmonic-oscillator (HO) potential are used with two different oscillator parameters bcore and bhalo. According to this model, the core nucleons of 9Li nucleus are assumed to move in the model space of spsdpf. The outer halo (2-neutron) in 11Li is assumed to move in the pure 1p1/2, 1d5/2, 2s1/2 orbit. The shell model calculations are carried ou
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The matter, proton, and neutron density distributions of the ground state, the nuclear root-mean-square (rms) radii, and the elastic form factors of a two- neutron, 8He and 26F, halo nuclei have been studied by the three body model of within the harmonic oscillator (HO) and Woods-Saxon (WS) radial wave functions. The calculated results show that the two body model within the HO and WS radial wave functions succeeds in reproducing the neutron halo in these exotic nuclei. Moreover, the Glauber model at high energy (above several hundred MeV) has been used to calculate the rms radii and reaction cross sections of these nuclei.
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The ground-state properties of exotic 18N and 20F nuclei, including the neutron, proton and matter densities and related radii are investigated using the two-body model of within Gaussian (GS) and Woods Saxon (WS) wave functions. The long tail is evident in the computed neutron and matter densities of these nuclei. The plane wave Born approximation (PWBA) is calculate the elastic form factors of these exotic nuclei. The variation in the proton density distributions due to the presence of the extra neutrons in 18N and 20F leads to a major difference between the elastic form factors of these exotic nuclei and their stable isotopes 14N and 19F. The reaction c
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Results of charge, neutron and matter densities and related form factors for one- proton halo nucleus 8B are presented using a two- frequency shell model approach. We choose a model space for the core of 7Be different from that of the extra one valence proton. One configuration is assumed for the outer proton to be in 1p1/2 - shell. The results of the matter density distributions are compared with those fitted to the experimental data. The calculated proton and matter density distributions of this exotic nucleus exhibit a long tail behavior, which is considered as a distinctive feature of halo nuclei. Elastic electron scattering form factors of this exotic nucleus are also studied. The effects of
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The elastic magnetic electron scattering form factors and the magnetic dipole moments have been studied for the ground state of 19C (halo) (JπT= 1/2+ 7/2) nucleus carried out using psd-shell Millener-Kurath (PSDMK) interactions. The single-particle wave functions of harmonic-oscillator (HO) potential are used with two different oscillator parameters bcore and bhalo. According to this interaction, the core nucleons of 18C nucleus are assumed to move in the model space of spd. The outer halo (1-neutron) in 19C is assumed to move in the pure 2s1/2 orbit. The elastic magnetic electron scattering of the stable 13C and exotic 19C nuclei are investigated through Plane Wave Born Approximation (PWBA). It is found that the difference between the
... Show MoreThe elastic magnetic electron scattering form factors and the magnetic dipole moments have been studied for the ground state of 19C (halo) (JπT= 1/2+ 7/2) nucleus carried out using psd-shell Millener-Kurath (PSDMK) interactions. The single-particle wave functions of harmonic-oscillator (HO) potential are used with two different oscillator parameters bcore and bhalo. According to this interaction, the core nucleons of 18C nucleus are assumed to move in the model space of spd. The outer halo (1-neutron) in 19C is assumed to move in the pure 2s1/2 orbit. The elastic magnetic electron scattering of the stable 13C and exotic 19C nuclei are investigated through Plane Wave Born Approximation (PWBA). It is found that the difference between the
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