Ground-state properties of neutron-rich Mg isotopes

Abstract

We analyze recently-measured total reaction cross sections for 24-38Mg isotopes incident on 12C targets at 240 MeV/nucleon by using the folding model and antisymmetrized molecular dynamics(AMD). The folding model well reproduces the measured reaction cross sections, when the projectile densities are evaluated by the deformed Woods-Saxon (def-WS) model with AMD deformation. Matter radii of 24-38Mg are then deduced from the measured reaction cross sections by fine-tuning the parameters of the def-WS model. The deduced matter radii are largely enhanced by nuclear deformation. Fully-microscopic AMD calculations with no free parameter well reproduce the deduced matter radii for 24-36Mg, but still considerably underestimate them for 37,38Mg. The large matter radii suggest that 37,38Mg are candidates for deformed halo nucleus. AMD also reproduces other existing measured ground-state properties (spin-parity, total binding energy, and one-neutron separation energy) of Mg isotopes. Neutron-number (N) dependence of deformation parameter is predicted by AMD. Large deformation is seen from 31Mg with N = 19 to a drip-line nucleus 40Mg with N = 28, indicating that both the N = 20 and 28 magicities disappear. N dependence of neutron skin thickness is also predicted by AMD.

15 pages, 13 figures, to be published in Phys. Rev. C

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• Nuclear rainbow scattering and nucleus-nucleus potential
• Proton elastic scattering from tin isotopes at 295 MeV and systematic change of neutron density distributions
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• The intruder feature of 31Mg and the coexistence of many particle and many hole states
• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field
• Application of Gaussian expansion method to nuclear mean-field calculations with deformation
• Repulsive nature of optical potentials for high-energy heavy-ion scattering
• Eikonal Reaction Theory for Neutron-Removal Reaction
• No-recoil approximation to knock-on exchange potential in the double folding model for heavy-ion collisions

Cited by in corpus (47)

• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Microscopic calculations based on chiral two- and three-nucleon forces for proton- and ${}^4$He-nucleus scattering
• Missed prediction of the neutron halo in ${}^{37}$Mg
• Examination of the ${}^{22}$C radius determination with interaction cross sections
• Intertwined effects of pairing and deformation on neutron halos in magnesium isotopes
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Nuclear surface diffuseness revealed in nucleon-nucleus diffraction
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Hartree-Fock-Bogoliubov theory for odd-mass nuclei with a time-odd constraint and application to deformed halo nuclei
• Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones
• Neutron skin thickness of ${}^{208}$Pb determined from reaction cross section for proton scattering
• Imprint of nuclear bubble in nucleon-nucleus diffraction
• Role of deformation in odd-even staggering in reaction cross sections for ${}^{30,31,32}$Ne and ${}^{36,37,38}$Mg isotopes
• Charge-changing cross sections for ${}^{42\text{–}51}$Ca and effect of charged-particle evaporation induced by neutron removal reaction
• 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
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• $g$-matrix folding-model approach to reaction cross sections for scattering of Ca isotopes on a C target
• Coulomb breakup of ${}^{37}$Mg and its ground state structure
• Neutron-skin thickness determines the surface tension of a compressible nuclear droplet
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Microscopic coupled-channel calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects
• Density profiles near nuclear surface of ${}^{44,52}$Ti: An indication of $\alpha$ clustering
• A microscopic approach to ${}^3$He scattering
• Extracting electric dipole breakup cross section of one-neutron halo nuclei from breakup observables
• Low-lying electric-dipole strengths of Ca, Ni, and Sn isotopes imprinted on total reaction cross sections
• Behaviour of pf shell under RMF+BCS Description
• Role of triaxiality in deformed halo nuclei
• Isoscalar monopole and dipole transitions in ${}^{24}$Mg, ${}^{26}$Mg and ${}^{28}$Si
• Neutron-skin values and matter and neutron radii determined from reaction cross sections of proton scattering on ${}^{12}$C, ${}^{40,48}$Ca, ${}^{58}$Ni, ${}^{208}$Pb
• Simultaneous analysis of matter radii, transition probabilities, and excitation energies of Mg isotopes by angular-momentum-projected configuration-mixing calculations
• Anti-halo effects on reaction cross sections for ${}^{14,15,16}$C isotopes
• Prediction of two-neutron halos in the $N=28$ isotones ${}^{40}$Mg and ${}^{39}$Na
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Ground State Properties of Neutron Magic Nuclei
• Enlarged deformation region in neutron-rich Zr isotopes by the second intruder orbit
• Nonspherical Pauli-forbidden states in deformed halo nuclei: Impact on the ${}^7\mathrm{Be}+p$ resonant states in the particle rotor model
• Collapse of N$=$28 magicity in exotic ${}^{40}$Mg -- Probe of deformed halo and 2n-radioactivity at Mg neutron drip-line
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si
• Investigating nuclear density profiles to reveal particle-hole configurations in the island of inversion
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Impact of the quenching of shell effects with excitation energy on Nuclear Level Density
• Determination of matter radius and neutron-skin thickness of ${}^{60,62,64}$Ni from reaction cross section of proton scattering on ${}^{60,62,64}$Ni targets (published in Results in Physics)
• Enhanced moments of inertia for rotation in neutron-rich nuclei
• Prediction of the analyzing power for $\vec{p}$+${}^6$He elastic scattering at 200 MeV from $\vec{p}$+${}^4$He elastic scattering at 200 MeV
• Uncovering the sign of nuclear deformations: Determination of prolate or oblate shape via low-energy $\alpha$ inelastic scattering