TWO-BODY CORRELATION CONTRIBUTIONS IN HALO NUCLEI WITH A RELATIVISTIC HARTREE APPROACH

2004 ◽  
Vol 19 (07) ◽  
pp. 533-541
Author(s):  
W. Z. JIANG ◽  
Z. Y. ZHU ◽  
W. Q. SHEN ◽  
X. J. QIU ◽  
Z. Z. REN

The relativistic density-dependent Hartree framework, where the relativistic two-body correlations are properly incorporated, is developed to study the properties of halo nuclei. The halo nucleon–meson vertex is reconstructed considering the nuclear potentials can be built dominantly from the two-body interactions. The two-neutron halo nucleus 11 Li , together with the one-neutron halo nucleus 19 C , is investigated. Separation energies, root-mean-square (rms) radii, and halo tails of above halo nuclei are nicely reproduced. The correlation contribution which provides essential attractions for halo neutrons is important to guarantee the relation Sn>S2n for 11 Li .

2011 ◽  
Vol 20 (04) ◽  
pp. 843-846
Author(s):  
YUMA KIKUCHI ◽  
KIYOSHI KATŌ ◽  
TAKAYUKI MYO ◽  
MASAAKI TAKASHINA ◽  
KIYOMI IKEDA

We investigate the three-body Coulomb breakup of a two-neutron halo nucleus, 6 He . We calculate the breakup cross section and the invariant mass spectra by using the complex-scaled solutions of the Lippmann-Schwinger equation, and discuss the relations between the structures in these observables and the n-n and α-n correlations in 6 He .


2012 ◽  
Vol 21 (07) ◽  
pp. 1250066 ◽  
Author(s):  
WALEED S. HWASH ◽  
REDZUWAN YAHAYA ◽  
SHAHIDAN RADIMAN ◽  
AZNAN FAZLI ISMAIL

The two-neutron halo nucleus 11 Li has been investigated in this work. Jacobi coordinates is used to describe the three-body system, using two configurations that are the T-configuration and Y-configuration. The calculations have been calculated based on a cluster model. The 11 Li nucleus is considered as three-body system core (9 Li )+n+n. The core here has been considered as a deformed core. The calculations confirmed that the core has some deformation and has an oblate shape which in turn has effects on the structure of three-body system.


2019 ◽  
Vol 34 (27) ◽  
pp. 1950221
Author(s):  
Syed Afsar Abbas

In a decade-and-a-half old experiment, Raabe et al. [Nature 431, 823 (2004)], had studied fusion of an incoming beam of halo nucleus 6He with the target nucleus [Formula: see text]. We extract a new interpretation of the experiment, different from the one that has been inferred so far. We show that their experiment is actually able to discriminate between the structures of the target nucleus (behaving as standard nucleus with density distribution described with canonical RMS radius [Formula: see text] with [Formula: see text] fm), and the “core” of the halo nucleus, which surprisingly, does not follow the standard density distribution with the above RMS radius. In fact, the core has the structure of a tennis-ball (bubble)-like nucleus, with a “hole” at the center of the density distribution. This novel interpretation of the fusion experiment provides an unambiguous support to an almost two decades old model [A. Abbas, Mod. Phys. Lett. A 16, 755 (2001)], of the halo nuclei. This Quantum Chromodynamics based model succeeds in identifying all known halo nuclei and makes clear-cut and unique predictions for new and heavier halo nuclei. This model supports the existence of tennis-ball (bubble)-like core, of even the giant-neutron halo nuclei. This should prove beneficial to the experimentalists, to go forward more confidently, in their study of exotic nuclei.


2009 ◽  
Vol 33 (8) ◽  
pp. 639-644 ◽  
Author(s):  
Chen Shuang ◽  
Chu Yan-Yun ◽  
Ren Zhong-Zhou

2021 ◽  
Vol 252 ◽  
pp. 04003
Author(s):  
Ismael Martel

Halo nuclei are extreme nuclear states consisting of one or more weakly-bound valence nucleons spatially decoupled from a tightly bound nuclear core. The weakly bound nature of the halo dominates the reaction probability, but the specific reaction mechanisms depend also on the core and target nuclei. Despite of the inherent complexity of the reaction process, simple two-body models and direct reaction theories can be used to extract useful information of the structure of the halo nucleus and its dynamics. These ideas are discussed using selected experiments of Coulomb barrier reactions with one- and two- neutron halo systems.


2020 ◽  
Vol 29 (03) ◽  
pp. 2050015 ◽  
Author(s):  
Ahmed N. Abdullah

The two body model of [Formula: see text] within the radial wave functions of the cosh potential has been used to investigate the ground state features such as the proton, neutron and matter densities, the root mean square (RMS) nuclear proton, neutron, charge and mass radii of unstable neutron-rich [Formula: see text]B, [Formula: see text]C, [Formula: see text]C and [Formula: see text]N nuclei. The calculated results show that the two body model with the radial wave functions of the cosh potential succeeds in reproducing neutron halo in these nuclei.


2012 ◽  
Vol 21 (04) ◽  
pp. 1250046 ◽  
Author(s):  
M. DOUICI ◽  
N. H. ALLAL ◽  
M. FELLAH ◽  
N. BENHAMOUDA ◽  
M. R. OUDIH

The effect of the particle-number symmetry restoration on the root mean square (rms) proton and neutron radii of neutron-deficient nuclei is studied in the isovector pairing case. As a first step, an expression of the nuclear radii which includes the neutron–proton pairing effects and which strictly conserves the particle-number has been established using the SBCS (Sharp BCS) method. It is shown that this expression generalizes the one obtained in the pairing between like-particles case. As a second step, the proton and neutron rms radii are numerically evaluated for even–even nuclei such as 16⩽Z⩽56 and 0⩽(N-Z)⩽4 using the single-particle energies of a Woods–Saxon mean-field. The results are compared with experimental data when available and with the results obtained when one considers only the pairing between like-particles.


1997 ◽  
Vol 56 (1) ◽  
pp. R1-R4 ◽  
Author(s):  
M. Fauerbach ◽  
M. Chromik ◽  
T. Glasmacher ◽  
P. Hansen ◽  
R. Ibbotson ◽  
...  

2018 ◽  
Vol 27 (06) ◽  
pp. 1850053 ◽  
Author(s):  
H. Hassanabadi ◽  
M. Alimohammadi

The present work is aimed at considering the recent forms of Bohr Hamiltonian, which are namely the hybrid model and the model combining the X(3) and E(5) symmetries, in the presence of the [Formula: see text]-dependent Morse potential. The energy spectra and the transition rates of each model have been obtained. Some nuclei, the isotopes of Ru, Pd, Xe and [Formula: see text]Ba, have been fitted by using the three-parameter solution of the combined Hamiltonian with the Morse potential. Also, a few nuclei have been fitted by using the four-parameter solution of the hybrid model. In order to evaluate our results, in addition to reporting the root mean square (rms), we compare our data for each nucleus with the corresponding results of other references.


2010 ◽  
Vol 25 (21n23) ◽  
pp. 1882-1885 ◽  
Author(s):  
P. CAPEL ◽  
W. HORIUCHI ◽  
Y. SUZUKI ◽  
D. BAYE

A candidate of a neutron-halo nucleus, 31 Ne , contains a single neutron in the pf shell. Within Glauber and eikonal models, we analyze reactions used to study 31 Ne . We show in a 30 Ne + n model that the magnitudes of the total reaction and above all of the one-neutron removal cross sections of 31 Ne on 12 C and 208 Pb targets strongly depend on the orbital angular momentum of the valence neutron, thereby providing efficient ways to determine the structure of 31 Ne ground state. We also show that elastic-breakup observables exhibit a strong dependence upon the orbital of the valence neutron.


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