Nuclear structure investigation of some neutron-rich halo nuclei

The ground state proton, neutron and matter densities, the corresponding rms radii and charge form factors of a dripline nuclei 6He, [Formula: see text]Li, [Formula: see text]Be and [Formula: see text]Be have been studied via a three–body model of [Formula: see text]. The core–neutron interaction takes the form of Woods-Saxon (WS) potential. The two valence neutrons of 6He, [Formula: see text]Li and [Formula: see text]Be interact by the realistic interaction of ZBMII while those of [Formula: see text]Be interact via the realistic interaction of VPNP. The core and valence (halo) density distributions are described by the single-particle wave functions of the WS potential. The calculated results are discussed and compared with the experimental data. The long tail performance is clearly noticed in the calculated neutron and matter density distributions of these nuclei. The structure of the two valence neutrons in 6He, [Formula: see text]Li and [Formula: see text]Be is found to be mixed configurations with dominant [Formula: see text] while that for [Formula: see text]Be is mixed configurations with dominant ([Formula: see text]. The analysis of the present study supports the halo structure of these nuclei.

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Nuclear matter distributions of neutron rich 6He, 11Li, 14Be and 17B halo nuclei studied by the Bear–Hodgson potential

Modern Physics Letters A ◽

10.1142/s0217732320502120 ◽

2020 ◽

Vol 35 (26) ◽

pp. 2050212

Author(s):

Ahmed N. Abdullah

Keyword(s):

Form Factors ◽

Wave Functions ◽

Halo Nuclei ◽

Long Tail ◽

Radial Wave ◽

Density Distributions ◽

Realistic Interaction ◽

Potential Form ◽

Plane Wave Born Approximation ◽

Three Body

The radial wave functions of the Bear–Hodgson potential have been used to study the ground state features such as the proton, neutron and matter densities and the associated rms radii of two neutrons halo 6He, [Formula: see text]Li, [Formula: see text]Be and [Formula: see text]B nuclei. These halo nuclei are treated as a three-body system composed of core and outer two-neutron [Formula: see text]. The radial wave functions of the Bear–Hodgson potential are used to describe the core and halo density distributions. The interaction of core-neutron takes the Bear–Hodgson potential form. The outer two neutrons of 6He and [Formula: see text]Li interact by the realistic interaction REWIL whereas those of [Formula: see text]Be and [Formula: see text]B interact by the realistic interaction of HASP. The obtained results show that this model succeeds in reproducing the neutron halo in these nuclei. From the calculated densities, it is found that 6He, [Formula: see text]Li, [Formula: see text]Be and [Formula: see text]B have a long tail in neutron and matter densities which is consistent with the experimental data. Elastic charge form factors for these halo nuclei are analyzed via the plane wave Born approximation.

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Study of the Density Distributions and Elastic form Factors of the Exotic Nuclei, 8He And 26F, Via the Three-Body Model

Iraqi Journal of Science ◽

10.24996/ijs.2021.62.8.8 ◽

2021 ◽

pp. 2555-2564

Author(s):

Ghufran M. Sallh ◽

Ahmed N. Abdullah

Keyword(s):

Form Factors ◽

High Energy ◽

Exotic Nuclei ◽

Wave Functions ◽

Glauber Model ◽

Radial Wave ◽

Density Distributions ◽

Body Model ◽

Elastic Form ◽

Three Body

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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Study of the matter density distributions of halo nuclei 6He and 16C using the binary cluster model

Journal of Physics Conference Series ◽

10.1088/1742-6596/2114/1/012045 ◽

2021 ◽

Vol 2114 (1) ◽

pp. 012045

Author(s):

S Q Abdullah ◽

A N Abdullah

Keyword(s):

Cluster Model ◽

Form Factors ◽

Reaction Cross ◽

Glauber Model ◽

Halo Nuclei ◽

Neutron Density ◽

Long Tail ◽

Halo Structure ◽

Density Distributions ◽

Elastic Form

Abstract The harmonic oscillator (HO) and Gaussian (GS) wave functions within the binary cluster model (BCM) have been employ to investigate the ground state neutron, proton and matter densities as well as the elastic form factors of two-neutron 6He and 16C halo nuclei. The long tail is a property that is clearly revealed in the density of the neutrons since it is found in halo orbits. The existence of a long tail in the neutron density distributions of 6He and 16C indicating that these nuclei have a neutron halo structure. Moreover, the matter rms radii and the reaction cross section (σr) of these nuclei have been calculated using the Glauber model.

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Study of matter density distributions, elastic charge form factors and size radii for halo 11Be, 19C and 11Li nuclei

Iraqi Journal of Physics (IJP) ◽

10.30723/ijp.v16i36.23 ◽

2018 ◽

Vol 16 (36) ◽

pp. 29-38

Author(s):

Zaid M. Abbas

Keyword(s):

Form Factors ◽

Matter Density ◽

Wave Functions ◽

Saxon Potential ◽

Radial Wave ◽

Charge Form ◽

Density Distributions ◽

The Core ◽

Core Part ◽

Good Agreement

In this work, the calculation of matter density distributions, elastic charge form factors and size radii for halo 11Be, 19C and 11Li nuclei are calculated. Each nuclide under study are divided into two parts; one for core part and the second for halo part. The core part are studied using harmonic-oscillator radial wave functions, while the halo part are studied using the radial wave functions of Woods-Saxon potential. A very good agreement are obtained with experimental data for matter density distributions and available size radii. Besides, the quadrupole moment for 11Li are generated.

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Study of the nuclear structure of halo nuclei 23O and 24F using the two-body model

Iraqi Journal of Physics (IJP) ◽

10.30723/ijp.v18i46.566 ◽

2020 ◽

Vol 18 (46) ◽

pp. 29-38

Author(s):

Ghufran Mahdy Sallh ◽

Ahmed Najim Abdullah

Keyword(s):

Nuclear Structure ◽

Form Factors ◽

High Energy ◽

Reaction Cross ◽

Wave Functions ◽

Glauber Model ◽

Halo Nuclei ◽

Radial Wave ◽

Body Model ◽

Elastic Form

The nuclear structure included the matter, proton and neutron densities of the ground state, the nuclear root-mean-square (rms) radii and elastic form factors of one neutron 23O and 24F halo nuclei have been studied by the two 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 succeed in reproducing neutron halo in these exotic nuclei. Moreover, the Glauber model at high energy has been used to calculated the rms radii and reaction cross section of these nuclei.

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Electromagnetic transition form factors of baryons in a relativistic Faddeev approach

EPJ Web of Conferences ◽

10.1051/epjconf/201818101013 ◽

2018 ◽

Vol 181 ◽

pp. 01013 ◽

Cited By ~ 1

Author(s):

Reinhard Alkofer ◽

Christian S. Fischer ◽

Hèlios Sanchis-Alepuz

Keyword(s):

Ground State ◽

Bound States ◽

Body Wave ◽

Form Factors ◽

Wave Functions ◽

Electromagnetic Form Factors ◽

Transition Form ◽

Electromagnetic Transition ◽

Three Body ◽

Gluon Interaction

The covariant Faddeev approach which describes baryons as relativistic three-quark bound states and is based on the Dyson-Schwinger and Bethe-Salpeter equations of QCD is briefly reviewed. All elements, including especially the baryons’ three-body-wave-functions, the quark propagators and the dressed quark-photon vertex, are calculated from a well-established approximation for the quark-gluon interaction. Selected previous results of this approach for the spectrum and elastic electromagnetic form factors of ground-state baryons and resonances are reported. The main focus of this talk is a presentation and discussion of results from a recent investigation of the electromagnetic transition form factors between ground-state octet and decuplet baryons as well as the octet-only Σ0 to Λ transition.

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RESONANCES AND CONTINUUMS IN THE THREE-BODY BREAKUP OF HALO NUCLEI WITH THE COMPLEX SCALING METHOD

Modern Physics Letters A ◽

10.1142/s021773230301017x ◽

2003 ◽

Vol 18 (02n06) ◽

pp. 166-169

Author(s):

TAKAYUKI MYO ◽

KIYOSHI KATŌ ◽

SHIGEYOSHI AOYAMA ◽

KIYOMI IKEDA

Keyword(s):

Halo Nuclei ◽

Complex Scaling ◽

Scaling Method ◽

Coulomb Breakup ◽

Complex Scaling Method ◽

Continuum States ◽

Body Model ◽

Decay Widths ◽

Three Body ◽

The Continuum

We investigate the three-body Coulomb breakup reaction of two-neutron halo nuclei 11 Li , where we adopt the extended three-body model of 11 Li with paying attention to the pairing correlation of the nuclei, and also employ the complex scaling method (CSM) to solve the three-body unbound states of 11 Li . From the results, we cannot find any dipole resonances, at least, having small decay widths. This means that the breakup strength is exhausted by the continuum states. We compare the obtained strength showing the low energy enhancement to the several experimental data.

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