Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations

Abstract

In this first in a series of articles, we apply effective interactions derived by the Unitary Correlation Operator Method (UCOM) to the description of open-shell nuclei, using a self-consistent Hartree-Fock-Bogoliubov framework to account for pairing correlations. To disentangle the particle-hole and particle-particle channels and assess the pairing properties of $\VUCOM$, we consider hybrid calculations using the phenomenological Gogny D1S interaction to derive the particle-hole mean field. In the main part of this article, we perform calculations of the tin isotopic chain using $\VUCOM$ in both the particle-hole and particle-particle channels. We study the interplay of both channels, and discuss the impact of non-central and non-local terms in realistic interactions as well as the frequently used restriction of pairing interactions to the ${}^1{S}_0$ partial wave. The treatment of the center-of-mass motion and its effect on theoretical pairing gaps is assessed independently of the used interactions.

14 pages, 10 figures, to appear in Phys. Rev. C, title modified accordingly

References in corpus (38)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• A unitary correlation operator method
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Particle number projection with effective forces
• The nucleon-nucleon interaction
• Tensor correlations in the Unitary Correlation Operator Method
• Particle-Number Projection and the Density Functional Theory
• Low-momentum interaction in few-nucleon systems
• Particle-Number Restoration within the Energy Density Functional Formalism
• Configuration Mixing within the Energy Density Functional Formalism: Removing Spurious Contributions from Non-Diagonal Energy Kernels
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Particle-Number Restoration within the Energy Density Functional formalism: Nonviability of terms depending on noninteger powers of the density matrices
• Pairing correlations. Part 2: Microscopic analysis of odd-even mass staggering in nuclei
• Pairing correlations. Part 1: description of odd nuclei in mean-field theories
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Symmetry-Projected Hartree-Fock-Bogoliubov Equations
• Hartree-Fock and Many-Body Perturbation Theory with Correlated Realistic NN-Interactions
• Broyden's Method in Nuclear Structure Calculations
• Low-momentum interactions with smooth cutoffs
• Coulomb exchange and pairing contributions in nuclear Hartree-Fock-Bogoliubov calculations with the Gogny force
• Four-nucleon force using the method of unitary transformation
• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
• Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
• Many-body effects in nuclear structure
• Second RPA and correlated realistic interactions
• Non-empirical pairing functional
• The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective
• Collective multipole excitations based on correlated realistic nucleon-nucleon interactions
• Nuclear collective excitations using correlated realistic interactions: the role of explicit RPA correlations
• Ab initio coupled-cluster and configuration interaction calculations for 16-O using V_UCOM

Cited by in corpus (18)

• Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two- Plus Three-Nucleon Interactions
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Open-Shell Nuclei from No-Core Shell Model with Perturbative Improvement
• A self-consistent study of multipole response in neutron-rich nuclei using a modified realistic potential
• Quasiparticle Renormalization and Pairing Correlations in Spherical Superfluid Nuclei
• Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei
• Quasiparticle Random Phase Approximation with Interactions from the Similarity Renormalization Group
• Low-energy electric dipole response of Sn isotopes
• Partial-wave contributions to pairing in nuclei
• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• Treatment of the Intrinsic Hamiltonian in Particle-Number Nonconserving Theories
• Zero-pairing limit of Hartree-Fock-Bogoliubov reference states
• Chiral three-nucleon forces and pairing in nuclei
• Nuclear Structure from the In-Medium Similarity Renormalization Group