Effective pairing interactions with isospin density dependence

Abstract

We perform Hartree-Fock-Bogoliubov (HFB) calculations for semi-magic Calcium, Nickel, Tin and Lead isotopes and $N$=20, 28, 50 and 82 isotones using density-dependent pairing interactions recently derived from a microscopic nucleon-nucleon interaction. These interactions have an isovector component so that the pairing gaps in symmetric and neutron matter are reproduced. Our calculations well account for the experimental data for the neutron number dependence of binding energy, two neutrons separation energy, and odd-even mass staggering of these isotopes. This result suggests that by introducing the isovector term in the pairing interaction, one can construct a global effective pairing interaction which is applicable to nuclei in a wide range of the nuclear chart. It is also shown with the local density approximation (LDA) that the pairing field deduced from the pairing gaps in infinite matter reproduces qualitatively well the pairing field for finite nuclei obtained with the HFB method.

References in corpus (16)

• Pairing in nuclear systems: from neutron stars to finite nuclei
• Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect?
• Strongly paired fermions: Cold atoms and neutron matter
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Pairing and continuum effects in nuclei close to the drip line
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Effective density dependent pairing forces in the T=1 and T=0 channels
• Pairing correlations. Part 2: Microscopic analysis of odd-even mass staggering in nuclei
• Pairing Interaction and Self-Consistent Densities in Neutron-Rich Nuclei
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Coulomb exchange and pairing contributions in nuclear Hartree-Fock-Bogoliubov calculations with the Gogny force
• ${}^1{S}_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories
• Bare vs effective pairing forces. A microscopic finite-range interaction for HFB calculations in coordinate space
• Pairing Matrix Elements and Pairing Gaps with Bare, Effective and Induced Interactions
• Mass Number Dependence of Nuclear Pairing
• A New Efficient Method of Hartree-Fock-Bogoliubov Calculation for Weakly Bound Nuclei

Cited by in corpus (51)

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• Low-density neutron matter
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• Tests of the nuclear equation of state and superfluid and superconducting gaps using the Cassiopeia A neutron star
• Thermal luminosities of cooling neutron stars
• Effective contact pairing forces from realistic calculations in infinite homogeneous nuclear matter
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• Pairing in high-density neutron matter including short- and long-range correlations
• Magnetic neutron star cooling and microphysics
• Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• An improved density matrix expansion for spin-unsaturated nuclei
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• Thermal evolution and quiescent emission of transiently accreting neutron stars
• The cluster structure of the inner crust of neutron stars in the Hartree-Fock-Bogoliubov approach
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• Lattice Calculation of Thermal Properties of Low-Density Neutron Matter with Pionless NN Effective Field Theory
• Anomalous pairing vibration in neutron-rich Sn isotopes beyond the N=82 magic number
• Role of T=0 pairing in Gamow-Teller states in N=Z nuclei
• Constraining the nuclear pairing gap with pairing vibrations
• Crust structure and thermal evolution of neutron stars in soft X-ray transients
• Surface-enhanced pair transfer in quadrupole states of neutron-rich Sn isotopes
• Testing Skyrme energy-density functionals with the QRPA in low-lying vibrational states of rare-earth nuclei
• Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
• Pairing and short-range correlations in nuclear systems
• Tensor correlation, pairing interaction and deformation in Ne isotopes and Ne hypernuclei
• Di-neutron correlation in monopole two-neutron transfer modes in Sn isotope chain
• Effect of isospin asymmetry in nuclear system
• Coulombic effect and renormalization in nuclear pairing
• Thermal evolution of neutron stars in soft X-ray transients with thermodynamically consistent models of the accreted crust
• XMM-Newton observations of PSR J0726-2612, a radio-loud XDINS
• Superfluid properties of the inner crust of neutron stars. II. Wigner-Seitz cells at finite temperature
• Nuclear energy functional with a surface-peaked effective mass: Global properties
• Probing the pairing interaction through two-neutron transfer reactions
• Microscopic Study of ${}^1{S}_0$ Superfluidity in Dilute Neutron Matter
• Odd-even staggering in neutron drip line nuclei
• Odd-even mass staggering with Skyrme-Hartree-Fock-Bogoliubov theory
• Middle aged $\gamma$-ray pulsar J1957+5033 in X-rays: pulsations, thermal emission and nebula
• Symbolic computation of the Hartree-Fock energy from a chiral EFT three-nucleon interaction at N${}^2$LO
• Two-neutron transfer probabilities and spatial-localization effects at the drip line
• Extending pairing energy density functional using pairing rotational moments of inertia
• Cranked Skyrme-Hartree-Fock-Bogoliubov approach for a mean-field description of nuclear rotations near the drip line
• Nuclear superfluidity in isospin asymmetric matter within the Skyrme model
• Isospin-density dependent pairing from infinite nuclear matter to finite nuclei
• Pairing correlations in exotic nuclei
• XMM-Newton observations of PSR J0554+3107: pulsing thermal emission from a cooling high-mass neutron star
• Enhanced moments of inertia for rotation in neutron-rich nuclei
• Models for Pairing Phenomena