Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian

Abstract

The low-lying collective states in Sn isotopes are studied by a five-dimensional collective Hamiltonian with parameters determined from the triaxial relativistic mean-field calculations using the PC-PK1 energy density functional. The systematics for both the excitation energies of $2_1^{+}$ states and $B(E2;0_1^{+}\to 2_1^{+})$ values are reproduced rather well, in particular, the enhanced E2 transitions in the neutron-deficient Sn isotopes with N<66. We show that the gradual degeneracy of neutron levels 1g7/2 and 2d5/2 around the Fermi surface leads to the increase of level density and consequently the enhanced paring correlations from N=66 to 58. It provokes a large quadrupole shape fluctuation around the spherical shape, and leads to an enhanced collectivity in the isotopes around N=58.

5 pages, 4 figures, accepted for publication in Physics Letters B

References in corpus (15)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Z=50 shell gap near ${}^{100}$Sn from intermediate-energy Coulomb excitations in even-mass ${}^{106--112}$Sn isotopes
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
• Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at N\approx60
• Energy Density Functional analysis of shape evolution in N=28 isotones
• Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes
• Multiple shape coexistence in the nucleus ${}^{80}$Zr
• Configuration mixing description of the nucleus ${}^{44}$S
• Impurity effect of Lambda hyperon on collective excitations of atomic nuclei
• Three-dimensional angular momentum projected relativistic point-coupling approach for the low-lying excited states in ${}^{24}$Mg
• Spin-orbit and orbit-orbit strengths for radioactive neutron-rich doubly magic nucleus ${}^{132}$Sn in relativistic mean field theory

Cited by in corpus (21)

• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Superheavy nuclei in microscopic collective Hamiltonian approach: the impact of beyond mean field correlations on the ground state and fission properties
• Global analysis of quadrupole shape invariants based on covariant energy density functionals
• Islands of shape coexistence from single-particle spectra in covariant density functional theory
• The Low-Energy Quadrupole Mode of Nuclei
• Covariant density functional analysis of shape evolution in $N=40$ isotones
• Global prediction of nuclear charge density distributions using deep neural network
• Shape evolution and coexistence in neutron-deficient Nd and Sm nuclei
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• Tidal wave in ${}^{102}$Pd: An extended five-dimensional collective Hamiltonian description
• Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory
• Revisiting the extraction of charge radii of ${}^{40}$Ca and ${}^{208}$Pb with muonic atom spectroscopy
• Pseudospin Symmetry: Microscopic origin of the ground-state inversion in neutron-rich odd-A Cu isotopes
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• Influence of binding energies of electrons on nuclear mass predictions
• Evolution of $N=28$ shell closure in relativistic continuum Hartree-Bogoliubov theory
• Applicability of Relativistic Point-Coupling Models to Neutron Star Physics
• Nuclear landscape in a mapped collective Hamiltonian from covariant density functional theory