Implication of odd-even staggering in the charge radii of calcium isotopes

Abstract

Inspired by the profoundly observed odd-even staggering and the inverted parabolic-like shape in charge radii along calcium isotopic chain, the ground state properties of calcium isotopes are investigated by constraining the root-mean-square (rms) charge radii under the covariant energy density functionals with effective forces NL3 and PK1. In this work, the pairing correlations are tackled by solving the state-dependent Bardeen-Cooper-Schrieffer equations. The calculated results suggest that the binding energies obtained by the radius constraint method have been slightly changed by about $0.2\%$. But for charge radii, the corresponding results deriving from NL3 and PK1 forces have been increased by about $1.0\%$ and $2.0\%$, respectively. This means that charge radius is a more sensitive quantity in the calibrated protocol. Meanwhile, it is found that the reproduced charge radii of calcium isotopes are attributed to the rather strong isospin dependence of effective potential. The odd-even oscillation behavior can also be presented in the proton Fermi energies along calcium isotopic family, but keep opposite trends with respect to the corresponding binding energies and charge radii. As encountered in charge radii, the weakened odd-even oscillation behavior is still emerged from the proton Fermi energies at the neutron numbers $N=20$ and $28$ as well, but not in binding energies.

arXiv comment15 pages, 5 figures, 1 table

References in corpus (80)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model
• Neutron halo in deformed nuclei
• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Quantum Phase Transition in the Shape of Zr isotopes
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials,
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model II: Nuclear spin and isospin excitations
• Computer program for the relativistic mean field description of the ground state properties of even-even axially deformed nuclei
• Shell Model Description of Isotope Shifts in Calcium
• Cross-shell excitation in two-proton knockout: Structure of ${}^{52}$Ca
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• New precision mass measurements of neutron-rich calcium and potassium isotopes and three-nucleon forces
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Shell and isospin effects in nuclear charge radii
• Relativistic mean field theory for deformed nuclei with pairing correlations
• Nuclear mass table in deformed relativistic Hartree-Bogoliubov theory in continuum, II: Even-$Z$ nuclei
• Novel Bayesian neural network based approach for nuclear charge radii
• Rare-Earth Nuclei: Radii, Isotope-Shifts and Deformation Properties in the Relativistic Mean Field Theory
• Charge Radius of Neutron-deficient ${}^{54}$Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii
• Charge radii in covariant density functional theory: a global view
• Nuclear charge radii in Bayesian neural networks revisited
• Physically Interpretable Machine Learning for nuclear masses
• Signatures of shape transition in odd-A neutron-rich Rubidium isotopes
• Beyond the charge radius: the information content of the fourth radial moment
• Neutron skin and signature of the $N$ = 14 shell gap found from measured proton radii of ${}^{17-22}$N
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Collapse of the $N=28$ shell closure in the newly discovered ${}^{39}$Na and the development of deformed halos towards the neutron dripline
• Difference in proton radii of mirror nuclei as a possible surrogate for the neutron skin
• Possible bound nuclei beyond the two-neutron drip line in the $50⩽Z⩽70$ region
• Experimental investigation of $\alpha$-condensation in light nuclei
• Candidates for the 5$\alpha$ condensed state in ${}^{20}$Ne
• Irregularities in nuclear radii at magic numbers
• Missed prediction of the neutron halo in ${}^{37}$Mg
• Proton distribution radii of ${}^{16-24}$O: signatures of new shell closures and neutron skin
• Prediction of Nuclear Charge Density Distribution with Feedback Neural Network
• Nuclear charge radii of silicon isotopes
• Short-range correlations effects on the deformability of neutron stars
• Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei
• Novel ansatz for charge radii in density functional theories
• Can Long-Range Nuclear Properties Be Influenced By Short Range Interactions? A chiral dynamics estimate
• Proton and neutron skins and symmetry energy of mirror nuclei
• Shell structure in neutron-rich Ca and Ni nuclei under semi-realistic mean fields
• Radii of neutron drops probed via the neutron skin thickness of nuclei
• Strength of pairing interaction for hyperons in multistrangeness hypernuclei
• Emergence of simple patterns in many-body systems: from macroscopic objects to the atomic nucleus
• Pseudo-spin symmetry restoration and the in-medium balance between nuclear attractive and repulsive interactions
• Correlations between charge radii differences of mirror nuclei and stellar observables
• Comparative study on charge radii and their kinks at magic numbers
• Odd-even shape staggering and kink structure of charge radii of Hg isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• Isospin symmetry breaking in the charge radius difference of mirror nuclei
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Effect of Resonant Continuum on Pairing Correlations in the Relativistic Approach
• Surprising charge-radius kink in the Sc isotopes at N=20
• Constraining equation of state of nuclear matter by charge-changing cross section measurements of mirror nuclei
• Particles in classically forbidden area, neutron skin and halo, and pure neutron matter in Ca isotopes
• Phase-space distributions of nuclear short-range correlations
• Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei
• Spin-orbit interaction in relativistic nuclear structure models
• Improved description of nuclear charge radii: Global trends beyond $N=28$ shell closure
• Ternary quasifission in collisions of actinide nuclei
• Nuclear ground-state properties probed by the relativistic Hartree-Bogoliubov approach
• Neutrinoless double-$\beta$ decay and double Gamow-Teller transitions
• Relativistic configuration-interaction density functional theory: Nonaxial effects on nuclear $\beta \beta$ decay
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Estimation of the slope of nuclear symmetry energy via charge radii of mirror nuclei
• Neutron drip line of $Z=9-11$ isotopic chains
• Effects of Short Range Correlations on Ca Isotopes
• Temperature effects on nuclear pseudospin symmetry in the Dirac-Hartree-Bogoliubov formalism
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• Alpha-decay from ${}^{44}$Ti: A study of the microscopic clusterization