Glauber-model analysis of total reaction cross sections for Ne, Mg, Si, and S isotopes with Skyrme-Hartree-Fock densities

Abstract

A systematic analysis is made on the total reaction cross sections for Ne, Mg, Si, and S isotopes. The high-energy nucleus-nucleus collision is described based on the Glauber model. Using the Skyrme-Hartree-Fock method in the three-dimensional grid-space representation, we determine the nuclear density distribution for a wide range of nuclei self-consistently without assuming any spatial symmetry. The calculated total reaction cross sections consistently agree with the recent cross section data on Ne${+}^{12}$C collision at 240$A$\,MeV, which makes it possible to discuss the radius and deformation of the isotopes. The total reaction cross sections for Mg${+}^{12}$C, Si${+}^{12}$C and S${+}^{12}$C cases are predicted for future measurements. We also find that the high-energy cross section data for O, Ne, and Mg isotopes on a ${}^{12}$C target at around 1000\,$A$MeV can not be reproduced consistently with the corresponding data at 240\,$A$MeV.

10 pages, 14 figures

References in corpus (6)

• Spectroscopy of 32Ne and the Island of Inversion
• Deformation of Ne isotopes in the island-of-inversion region
• Exploring the anomaly in the interaction cross section and matter radius of 23O
• Elastic and total reaction cross sections of oxygen isotopes in Glauber theory
• Difference between interaction cross sections and reaction cross sections
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Cited by in corpus (37)

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• Missed prediction of the neutron halo in ${}^{37}$Mg
• Examination of the ${}^{22}$C radius determination with interaction cross sections
• Probing neutron-skin thickness with total reaction cross sections
• Electric dipole response of low-lying excitations in the two-neutron halo nucleus ${}^{29}$F
• Nuclear surface diffuseness revealed in nucleon-nucleus diffraction
• Two-neutron halo structure of ${}^{31}$F and a novel pairing anti-halo effect
• Role of deformation in odd-even staggering in reaction cross sections for ${}^{30,31,32}$Ne and ${}^{36,37,38}$Mg isotopes
• Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes
• Core swelling in spherical nuclei: An indication of the saturation of nuclear density
• Anti-bubble effect of temperature \& deformation: a systematic study for nuclei across all mass regions between A $=$ 20$-$300
• Coulomb breakup of ${}^{37}$Mg and its ground state structure
• Neutron-skin thickness determines the surface tension of a compressible nuclear droplet
• Complete Glauber calculations for proton-nucleus inelastic cross sections
• Nuclear Structure and Reaction Properties of Ne, Mg and Si Isotopes with RMF Densities
• Mean-field analysis of ground state and low-lying electric dipole strength in ${}^{22}$C
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Density profiles near nuclear surface of ${}^{44,52}$Ti: An indication of $\alpha$ clustering
• Microscopic study of the deformed neutron halo of 31Ne
• Imprints of $\alpha$ clustering in the density profiles of ${}^{12}$C and ${}^{16}$O
• Self-consistent description of the halo nature of 31Ne with continuum and pairing correlations
• Low-lying electric-dipole strengths of Ca, Ni, and Sn isotopes imprinted on total reaction cross sections
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• Isoscalar monopole and dipole transitions in ${}^{24}$Mg, ${}^{26}$Mg and ${}^{28}$Si
• Prediction of two-neutron halos in the $N=28$ isotones ${}^{40}$Mg and ${}^{39}$Na
• Impact of quadrupole deformation on intermediate-energy heavy-ion collisions
• Dineutron-dineutron correlation in ${}^8$He
• Tri-axial deformation in nuclei with realistic NN interactions
• Total reaction cross section on a deuteron target and the eclipse effect of the constituent neutron and proton
• Enlarged deformation region in neutron-rich Zr isotopes by the second intruder orbit
• Global analysis of the non-uniformity of nucleon density distributions
• Incomplete absorption reactions at high energy
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Investigating nuclear density profiles to reveal particle-hole configurations in the island of inversion
• Empirical Parameterization of Nucleon-Nucleon Elastic Scattering Amplitude at High Beam Momenta for Glauber Calculations and Monte Carlo Simulations
• Uncovering the sign of nuclear deformations: Determination of prolate or oblate shape via low-energy $\alpha$ inelastic scattering
• Two-neutron halo structure and anti-halo effect in 31F