Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum

Abstract

Ground state properties of carbon isotopes, including root-mean-square radii, neutron separation energies, single particle spectra, and shapes are systematically studied with the deformed relativistic Hartree-Bogoliubov theory in continuum. The calculations with the effective interaction PK1 reproduce the available data reasonably well. The shell evolution in this isotopic chain is investigated by examining the single particle spectra. The inversion of neutron orbitals $\nu 2s_{1/2}$ and $\nu 1d_{5/2}$ compared with the order of neutron orbitals in stable nuclei is revealed in ${}^{15-20,22}\mathrm{C}$ when these nuclei are constrained to spherical shape. Neutron halos in ${}^{15,19,22}$C are studied in detail and their halo structures are mainly caused by the inversion of ($\nu 2s_{1/2},\nu 1d_{5/2}$) and deformation effects. In particular, ${}^{15}$C and ${}^{22}$C are deformed halo nuclei with shape decoupling effects in ground states.

arXiv comment46 pages, 15 figures, and 2 tables; Nucl. Phys. A, in press

References in corpus (79)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Alpha cluster condensation in 12C and 16O
• Nuclear magic numbers: new features far from stability
• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Tables of E2 Transition Probabilities from the first $2^{+}$ States in Even-Even Nuclei
• Evolution of shell structure in exotic nuclei
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Ab initio calculation of the Hoyle state
• Microscopic Clustering in Light Nuclei
• Structure and rotations of the Hoyle state
• A Giant Halo at the Neutron Drip Line
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Neutron halo in deformed nuclei
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• Shell-model study of boron, carbon, nitrogen and oxygen isotopes based on monopole-based-universal interaction
• Reaction cross sections of carbon isotopes incident on a proton
• Relativistic Hartree-Bogoliubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei
• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• Quadrupole deformation $(\beta ,\gamma )$ of light $\Lambda$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $\Lambda$ hyperon
• Proton distribution radii of ${}^{12-19}$C illuminate features of neutron halos
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Nuclear halo structure and pseudo-spin symmetry
• One- and two-neutron removal reactions from the most neutron-rich carbon isotopes
• Cluster structures of excited states in ${}^{14}$C
• Halos and related structures
• Deformed nuclear halos
• Augmented Lagrangian Method for Constrained Nuclear Density Functional Theory
• The proton and neutron distribution in Na isotopes: the development of halo and shell structure
• Implications of a matter-radius measurement for the structure of Carbon-22
• Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum
• Unbound excited states in 19,17C
• Density-dependent deformed relativistic Hartree-Bogoliubov theory in continuum
• Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus
• Positive-parity linear-chain molecular band in ${}^{16}$C
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Deformation of C isotopes
• Effects of pairing, continuum, and deformation on particles in the classically forbidden regions for Mg isotopes
• Selective decay from a candidate of the $\sigma$-bond linear-chain state in ${}^{14}$C
• Breathing-like excited state of the Hoyle state in ${}^{12}\mathrm{C}$
• Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties
• Shell-model calculations for neutron-rich carbon isotopes with a chiral nucleon-nucleon potential
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• 3alpha clustering in the excited states of 16C
• Neutral $s$ States in Loosely Bound Nuclei
• Carbon-19 in Halo EFT: Effective-range parameters from Coulomb-dissociation experiments
• Examination of the ${}^{22}$C radius determination with interaction cross sections
• Evidence for Z=6 `magic number' in neutron-rich carbon isotopes
• Intertwined effects of pairing and deformation on neutron halos in magnesium isotopes
• Charge form factors of two-neutron halo nuclei in halo EFT
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Evolution of Surface Deformations of Weakly-Bound Nuclei in the Continuum
• Descriptions of Carbon isotopes within relativistic Hartree-Fock-Bogoliubov theory
• Beta-delayed neutron and gamma-ray spectroscopy of 17C utilizing spin-polarized 17B
• Cluster Decay of the High-lying excited states in ${}^{14}$C
• Reorientation-effect measurement of the first 2${}^{+}$ state in ${}^{12}$C: confirmation of oblate deformation
• Probing Surface Quantum Flows in Deformed Pygmy Dipole Modes
• Single-neutron knockout from ${}^{20}\text{C}$ and the structure of ${}^{19}\text{C}$
• Interplay between the 0+_2 resonance and the nonresonant continuum of the drip-line two-neutron halo nucleus 22C
• Intermediate energy four-body breakup calculations for 22C
• Influence of pairing correlations on the radius of neutron-rich nuclei
• Mean-field analysis of ground state and low-lying electric dipole strength in ${}^{22}$C
• Carbon Isotopes Near Drip Lines in the Relativistic Mean-Field Theory
• Coulomb breakup of 22C in a four-body model
• Core momentum distribution in two-neutron halo nuclei
• Three-body systems in physics of cold atoms and halo nuclei
• Possible Shape Coexistence and Magnetic Dipole Transitions in ${}^{17}$C and ${}^{21}$Ne
• Halo structure of ${}^{17}$C
• Halo Structure Of C-19 Via The (p,d) Reaction
• New magic numbers

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• Optimized Dirac Woods-Saxon basis for covariant density functional theory
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• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
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• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Symmetry Energy from Two-Nucleon Separation Energies of Pb and Ca Isotopes
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Ground-state properties and structure evolutions of odd-$A$ transuranium Bk isotopes from deformed relativistic Hartree-Bogoliubov theory in continuum
• Implication of shell quenching in scandium isotopes around N=20
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