Nucleus-nucleus reaction cross section at low energies: Modified Glauber model

1993 ◽  
Vol 48 (1) ◽  
pp. 452-454 ◽  
Author(s):  
S. K. Charagi
2016 ◽  
Vol 117 ◽  
pp. 09009 ◽  
Author(s):  
I. Lombardo ◽  
D. Dell’Aquila ◽  
F. Conte ◽  
L. Francalanza ◽  
M. La Cognata ◽  
...  

2001 ◽  
Vol 10 (01) ◽  
pp. 43-53 ◽  
Author(s):  
I. AHMAD ◽  
M. A. ABDULMOMEN ◽  
L. A. AL-KHATTABI

Coulomb modified Glauber model has been applied to calculate α total reaction cross-section for 12 C , 16 O and 40 Ca nuclei in the rigid projectile model using microscopic N-α amplitude which is evaluated in terms of NN scattering amplitude parameters. Using realistic densities for target nuclei and the same input information, we find that the predictions of the rigid projectile approximation for α reaction cross sections are, in general, in better agreement with the experimental data than those of the optical limit approximation.


2017 ◽  
Vol 2017 ◽  
pp. 1-16 ◽  
Author(s):  
N. Marimuthu ◽  
V. Singh ◽  
S. S. R. Inbanathan

The total nuclear reaction cross section is calculated considering the cases with and without medium effect by employing Coulomb modified Glauber model (CMGM) for interactions of projectiles 56Fe26, 84Kr36, 132Xe54, 197Au79, and 238U92 with nuclear emulsion detector (NED) nuclei at around 1 GeV per nucleon incident kinetic energy. These calculated nuclear reaction cross sections are correlated with the different target groups of the NED nuclei. The average value of various parameters is also calculated and compared with the corresponding experimental results. The number of shower particles emitted in an interaction is also calculated and showed good agreement with the experimental result. We observed that the total nuclear reaction cross section increases with increasing the target mass number in case of all the considered projectiles. In addition, it is shown that the average value of reaction cross section with nuclear medium effect is in good agreement with the experimental results for projectiles 56Fe, 84Kr, and 132Xe, although results of projectiles 197Au and 238U are not in agreement with the experimental observations. This study sheds some light on the energy dependence of the nuclear reaction cross section.


2014 ◽  
Vol 29 (04) ◽  
pp. 1450013 ◽  
Author(s):  
R. N. Panda ◽  
Mahesh K. Sharma ◽  
S. K. Patra

We have studied nuclear structure and reaction properties of Ne , Mg and Si isotopes, using relativistic mean field (RMF) densities, in the framework of Glauber model. Total reaction cross-section σR for Ne isotopes on 12 C target have been calculated at incident energy 240 MeV. The results are compared with the experimental data and with the recent theoretical study [W. Horiuchi et al., Phys. Rev. C 86, 024614 (2012)]. Study of σR using deformed densities have shown a good agreement with the data. We have also predicted total reaction cross-section σR for Ne , Mg and Si isotopes as projectiles and 12 C as target at different incident energies.


2013 ◽  
Vol 22 (01) ◽  
pp. 1350005 ◽  
Author(s):  
MAHESH K. SHARMA ◽  
M. S. MEHTA ◽  
S. K. PATRA

We study the nuclear reaction cross-sections for some of the neutron-rich nuclei in the lighter mass region of the periodic chart which are recently measured. The well-known Glauber formalism is used by taking deformed relativistic and nonrelativistic densities as input in the calculations. We find reasonable reaction cross-sections with both the densities. However with a better inspection of the results, it is noticed that the results obtained with relativistic densities are more closure to the experimental data than the nonrelativistic Skyrme densities.


2003 ◽  
Vol 52 (1) ◽  
pp. 58
Author(s):  
Li JiaXing ◽  
Guo ZhongYan ◽  
Xiao GuoQing ◽  
Zhan WenLong ◽  
Wang JianSong ◽  
...  

2020 ◽  
Vol 35 (36) ◽  
pp. 2050297
Author(s):  
M. Rashdan ◽  
T. A. Abdel-Karim

Analysis of reaction cross sections of [Formula: see text] are performed with Glauber model (GM) including medium modifications arising from Fermi motion and in-medium nucleon–nucleon (NN) total reaction cross section. The density distributions of Boron isotopes are described by a deformed-average Fermi shape, whose proton and neutron radii and deformation parameters are derived from relativistic mean field (RMF), harmonic oscillator (HO) and two-parameter Fermi (2pF). These densities can describe the reaction cross section of Boron isotopes except for [Formula: see text] which is better described by an HO core plus extended Gaussian (HOG) or HO plus a modified Yukawa (HOMY) tail, which depends on the 1n separation energy. It is found that Fermi motion effects dominated at intermediate energy, and they are important to describe the data in addition to in-medium effects. In-medium effects, which are incorporated locally, reduced the reaction cross section by about 3–5% at all energies. [Formula: see text] is confirmed as a one-neutron halo nucleus, where a large extended tail is observed in the extracted HOMY and HOG model densities as well as in the extracted radii, where the matter radius of [Formula: see text] is found to be about 2.92 fm, which is larger than that of [Formula: see text] (2.5 fm) and [Formula: see text] (2.82 fm) predicted using the GM model including Fermi motion and in-medium effects.


2019 ◽  
Vol 28 (06) ◽  
pp. 1950046
Author(s):  
M. Rashdan ◽  
M. M. Taha ◽  
T. A. Abdel-Karim ◽  
S. Esmail

The nucleus–nucleus reaction cross-sections of [Formula: see text]C and [Formula: see text]C at 240[Formula: see text]MeV/u are calculated using the optical limit of the Glauber model. The deformation and radii of a deformed Fermi density are calculated from the relativistic mean field (RMF). The results are compared with the recent experimental data. It is found that the Fermi density whose quadrupole deformation parameters and radii are derived from RMF, using TMA effective interaction in the RMF Lagrangian, provide a satisfactory explanation of the experimental data of Na isotopes, except for [Formula: see text]Na, which are expected to be strongly deformed. For F isotopes, the deformed Fermi density adjusted to the radii derived from RMF, using TMA interaction, presents a lower reaction cross-section. The Lagrangian parameters set NL3* gives a good description of the data which is better than that predicted by TMA. On the other hand, the two forces cannot describe the reaction cross-section of [Formula: see text]F since it is expected to have a deformed halo structure. The radius deduced from the data is found to be of the order 3.5[Formula: see text]fm.


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