EIKONAL MODEL ANALYSIS FOR 9Li+p AND 11Li+p ELASTIC SCATTERINGS AND HALO EFFECT

2001 ◽  
Vol 10 (02) ◽  
pp. 91-98 ◽  
Author(s):  
YONG JOO KIM ◽  
MOON HOE CHA
Keyword(s):  
Cross Sections ◽  
Halo Effect ◽  
Nuclear Potential ◽  
Angular Distributions ◽  
P System ◽  
Weakly Bound ◽  
Halo Structure ◽  
Eikonal Model ◽  
The Core ◽  
Halo Neutron

The elastic angular distributions for 9 Li+p and 11 Li+p at E lab /A = 60 and 62 MeV/nucleon, respectively, have been analyzed within the framework of the eikonal model. It is assumed that 11 Li has the halo structure of a 9 Li core plus two weakly bound neutrons and is treated such that the nuclear potential has a sum of the core and halo neutron contributions. We have found that the break-up effect of halo neutrons is essential to understand the elastic cross sections of 11 Li+p system at E lab /A = 62 MeV/nucleon. The near- and the far-side decompositions of elastic cross sections have also been performed by following the Fuller's formalism.

TANGENTIAL VELOCITY AND HALO EFFECTS IN THE 9Li+p AND 11Li+p ELASTIC SCATTERINGS

2005 ◽  
Vol 14 (07) ◽  
pp. 1051-1061 ◽  
Author(s):  
YONG JOO KIM ◽  
MOON HOE CHA
Keyword(s):  
Cross Sections ◽  
Optical Potential ◽  
Theoretical Calculations ◽  
Tangential Velocity ◽  
P System ◽  
Weakly Bound ◽  
Halo Structure ◽  
Eikonal Model ◽  
The Core ◽  
Model Formalism

We present the Coulomb-modified eikonal model formalism based on a hyperbolic trajectory by using a tangential velocity at the distance of closest approach. By assuming that 11 Li has a halo structure of two weakly bound neutrons around the 9 Li core, we take the total nuclear optical potential as a sum of the core and the two halo neutrons. The theoretical calculations for the elastic scattering of 9 Li + p and 11 Li + p at E lab /A=60 and 62 MeV, respectively are in good agreements with the observed data. It is found that the break-up effect of halo neutrons and the tangential velocity at the distance of closest approach are both important to understand the elastic cross sections of 11 Li + p system at E lab /A=62 MeV .

scholarly journals Microscopic analysis of elastic scattering cross sections for different densities of $^{8}$Li nucleus on light, medium and heavy mass targets

2019 ◽  
Vol 65 (4 Jul-Aug) ◽  
pp. 404
Author(s):  
M. Aygun ◽  
And Z. Aygun
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Microscopic Analysis ◽  
Angular Distributions ◽  
Weakly Bound ◽  
Density Distributions ◽  
Double Folding ◽  
Scattering Cross Sections ◽  
Light Medium ◽  
Good Agreement

The elastic scattering angular distributions of weakly bound nucleus$^{8}$Li on $^{7}$Li, $^{9}$Be, $^{12}$C, $^{13}$C, $^{14}$N,$^{27}$Al, $^{51}$V, $^{58}$Ni, and $^{208}$Pb are analyzed atvarious incident energies. For this purpose, the real potential isgenerated for nine different density distributions of the $^{8}$Linucleus by using the double folding model within the optical model.The theoretical results are in good agreement with the experimentaldata. In our study, also, new and practical sets of imaginarypotentials for the investigated densities are derived.

The scattering of neutrons by deuterons at high energies

1951 ◽  
Vol 209 (1098) ◽  
pp. 380-396 ◽  
Keyword(s):  
Charge Exchange ◽  
Cross Sections ◽  
Ground State ◽  
Nuclear Potential ◽  
Angular Distributions ◽  
High Energies ◽  
Exchange Properties

Born’s approximation has been used to calculate total elastic and inelastic cross-sections and angular distributions for the scattering of neutrons by deuterons at incident energies of 100, 200 and 300 MeV. The nuclear potential has been taken to be a mixture of central and non-central interactions of the type √ 12 = I 12 (1 - 1/2 g + 1/2 g σ 1 σ 2 + γS 12 ) V(r) , where S 12 = r -2 3σ 1 . rσ 2 . r-σ 1 . σ 2 . Four types of isotopic factor I 12 , giving exchange properties of the neutral, charge exchange, symmetrical and Serber theories, have been investigated. The effect on the scattering of including the D wave of the ground state of the deuteron has been estimated.

Comparison between the elastic scattering of 12C(α,α)12C and 12C(6He, 6He)12C using different nuclear potentials

2020 ◽  
Vol 29 (10) ◽  
pp. 2050086
Author(s):  
Ahmed Hammad Amer ◽  
Yu. E. Penionzhkevich ◽  
Awad A. Ibraheem ◽  
Sh. Hamada
Keyword(s):  
Energy Range ◽  
Cross Sections ◽  
Optical Model ◽  
Reaction Cross ◽  
Angular Distributions ◽  
Nuclear System ◽  
Halo Structure ◽  
Double Folding ◽  
Potential Parameters ◽  
Reaction Cross Sections

The experimental angular distributions for [Formula: see text]-particles elastically scattered from [Formula: see text]C nucleus in the energy range 48.7–386[Formula: see text]MeV and for 6He+[Formula: see text]C nuclear system in the energy range 5.9–493.8[Formula: see text]MeV have been reanalyzed. Data analysis is performed within the framework of both optical model (OM) and double folding optical model (DFOM). In this model, the real part of the potential is generated using the double folding procedures based on the effective M3Y interaction between projectile nucleons and target nucleons in addition to an imaginary part of Woods–Saxon (WS) form. Two criteria are used in order to observe the nature of 4He and 6He elastically scattered from [Formula: see text]C and the effect of the two neutron halo structure of 6He. First, the extracted potential parameters are utilized for calculating the reflexion coefficients [Formula: see text] which is strongly related to angular momentum [Formula: see text]. Second, the reduction in reaction cross-sections with the projectile’s energy.

STRUCTURE EFFECTS IN COLLISIONS INDUCED BY HALO AND WEAKLY BOUND NUCLEI AROUND THE COULOMB BARRIER

2010 ◽  
Vol 19 (05n06) ◽  
pp. 1236-1240 ◽  
Author(s):  
V. SCUDERI ◽  
A. DI PIETRO ◽  
L. ACOSTA ◽  
F. AMORINI ◽  
M. J. G. BORGE ◽  
...  
Keyword(s):  
Cross Sections ◽  
Coulomb Barrier ◽  
Center Of Mass ◽  
Reaction Cross ◽  
Angular Distributions ◽  
Weakly Bound ◽  
Model Calculations ◽  
Center Of Mass Energy ◽  
Reaction Channels ◽  
Reaction Cross Sections

In this contribution, results concerning different reaction channels for the collisions induced by the three Be isotopes, 9,10,11 Be , on a 64 Zn target at energies around the Coulomb barrier will be presented. The experiments with the radioactive 10,11 Be beams were performed at REX-ISOLDE (CERN) whereas the experiment with the stable weakly bound 9 Be beam was performed at LNS Catania. Elastic scattering angular distributions have been measured for the three systems 9,10,11 Be + 64 Zn at the same center of mass energy. The angular distributions were analyzed with optical potentials and reaction cross sections were obtained from optical model calculations, performed with the code PTOLEMY. For the 11 Be + 64 Zn reaction, the break-up angular distribution was also measured.

scholarly journals 7Be and 8B reaction dynamics at Coulomb barrier energies

2018 ◽  
Vol 184 ◽  
pp. 02015
Author(s):  
E. Strano ◽  
M. Mazzocco ◽  
A. Boiano ◽  
C. Boiano ◽  
M. La Commara ◽  
...  
Keyword(s):  
Cross Sections ◽  
Coulomb Barrier ◽  
Reaction Cross Section ◽  
Optical Model ◽  
Reaction Dynamics ◽  
Reaction Cross ◽  
Total Reaction Cross Section ◽  
Weakly Bound ◽  
Total Reaction ◽  
Reaction Cross Sections

We investigated the reaction dynamics induced by the 7Be,8B+208Pb collisions at energies around the Coulomb barrier. Charged particles originated by both the col- lisions were detected by means of 6 ΔE-Eres telescopes of a newly developed detector array. Experimental data were analysed within the framework of the Optical Model and the total reaction cross-sections were compared together and with the 6,7Li+208Pb colli-sion data. According to the preliminary results, 7Be nucleus reactivity is rather similar to the 7Li one whereas the 8B+208Pb total reaction cross section appears to be much larger than those measured for reactions induced by the other weakly-bound projectiles on the same target.

Total Cross Sections and Angular Distributions forπ−pCharge Exchange in the Second and Third Resonance Regions

1964 ◽  
Vol 13 (18) ◽  
pp. 558-562 ◽  
Author(s):  
F. Bulos ◽  
R. E. Lanou ◽  
A. E. Pifer ◽  
A. M. Shapiro ◽  
M. Widgoff ◽  
...  
Keyword(s):  
Cross Sections ◽  
Angular Distributions ◽  
Total Cross Sections

Analysing powers and differential cross sections of (3He,p) reactions on 6Li and 7Li at low energy

1995 ◽  
Vol 73 (1-2) ◽  
pp. 74-84 ◽  
Author(s):  
D. Baddou ◽  
C. Rioux ◽  
R. J. Slobodrian ◽  
J. M. Nelson
Keyword(s):  
Cross Sections ◽  
Differential Cross ◽  
Born Approximation ◽  
Low Energy ◽  
Angular Distributions ◽  
Differential Cross Sections ◽  
Distorted Wave ◽  
Distorted Wave Born Approximation ◽  
Nucleon Transfer ◽  
Cluster Transfer

Angular distributions of the differential cross sections and analysing powers were measured at an energy of 4.6 MeV. The results are compared with the distorted wave Born approximation predictions for two-nucleon transfer and for a deuteron-cluster transfer. The agreement is qualitative at best, and a discussion of alternatives to improve it is presented.

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