Towards a Model-Independent Low Momentum Nucleon-Nucleon Interaction

Abstract

We provide evidence for a high precision model-independent low momentum nucleon-nucleon interaction. Performing a momentum-space renormalization group decimation, we find that the effective interactions constructed from various high precision nucleon-nucleon interaction models, such as the Paris, Bonn, Nijmegen, Argonne, CD Bonn and Idaho potentials, are identical. This model-independent low momentum interaction, called V_{low k}, reproduces the same phase shifts and deuteron pole as the input potential models, without ambiguous assumptions on the high momentum components, which are not constrained by low energy data and lead to model-dependent results in many-body applications. V_{low k} is energy-independent and does not necessitate the calculation of the Brueckner G matrix.

12 pages, 5 figures, minor changes and additions, to appear in Phys. Lett. B

References in corpus (6)

• Model-independent low momentum nucleon interaction from phase shift equivalence
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Accurate Nucleon-Nucleon Potential Based upon Chiral Perturbation Theory
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence
• Low Momentum Nucleon-Nucleon Interaction and Fermi Liquid Theory

Cited by in corpus (79)

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Unified ab initio approaches to nuclear structure and reactions
• Is nuclear matter perturbative with low-momentum interactions?
• Coupled-cluster theory for three-body Hamiltonians
• Polarization contributions to the spin-dependence of the effective interaction in neutron matter
• Low-momentum interaction in few-nucleon systems
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Hartree-Fock and Many-Body Perturbation Theory with Correlated Realistic NN-Interactions
• Low-momentum interactions with smooth cutoffs
• Properties of the nuclear medium
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Can tetraneutron be a narrow resonance?
• Convergence of the Born Series with Low-Momentum Interactions
• Wavefunction matching for solving quantum many-body problems
• Nucleon-Nucleon Interaction: A Typical/Concise Review
• Short-range correlation physics at low RG resolution
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering
• Are low-energy nuclear observables sensitive to high-energy phase shifts?
• Neutron matter at finite temperature
• Density Matrix Expansion for Low-Momentum Interactions
• High-momentum tails from low-momentum effective theories
• Dependence of the BCS 1S0 superfluid pairing gap on nuclear interactions
• Effective density functionals beyond mean field
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Helium halo nuclei from low-momentum interactions
• Nuclear matter with Brown-Rho-scaled Fermi liquid interactions
• Chiral effective field theory on the lattice at next-to-leading order
• Microscopic Restoration of Proton-Neutron Mixed Symmetry in Weakly Collective Nuclei
• Nuclear Pairing: Surface or Bulk ?
• Late Hadronization and Matter Formed at RHIC: Vector Manifestation, Brown-Rho Scaling and Hadronic Freedom
• Neutrino Bremsstrahlung in Neutron Matter from Effective Nuclear Interactions
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• Consistency of the effective-field-theory approach to the nucleon-nucleon interaction problem revisited
• Error analysis of nuclear forces and effective interactions
• The renormalisation group and nuclear forces
• Implicit vs Explicit Renormalization and Effective Interactions
• Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
• Second--order equation of state with the Skyrme interaction. Cutoff and dimensional regularization with the inclusion of rearrangement terms
• Eft for DFT
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• The exact discontinuity of a partial wave along the left-hand cut and the exact $N/D$ method in non-relativistic scattering
• Extrapolation uncertainties in the importance-truncated No-Core Shell Model
• Variational Calculations of Nuclei with Low-Momentum Potentials
• Low-momentum interactions in three- and four-nucleon scattering
• Topology and emergent symmetries in dense compact star matter
• Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials
• Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
• Low-momentum interactions with Brown-Rho-Ericson scalings and the density dependence of the nuclear symmetry energy
• Variational Calculations using Low-Momentum Potentials with Smooth Cutoffs
• Low-momentum effective interaction in the three-dimensional approach
• Low-momentum interactions for nuclei
• Universality in Similarity Renormalization Group Evolved Potential Matrix Elements and T-Matrix Equivalence
• Operator evolution from the similarity renormalization group and the Magnus expansion
• Comparing Some Nucleon-Nucleon Potentials
• Current Status of Nuclear Physics Research
• Projection Operator Formalisms and the Nuclear Shell Model
• On the Wilsonian renormalization group equation for nuclear current operators
• Three-Body Bound State Calculations by Using Three-Dimensional Low Momentum Interaction $V_{low-k}$
• Estimates and power counting in uniform matter with softened interactions
• Low-momentum nucleon-nucleon interaction and shell-model calculations
• A nonperturbative parametrization and scenario for EFT renormalization
• Nucleon-deuteron scattering with the JISP16 potential
• Implicit and explicit renormalization: two complementary views of effective interactions
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Discovery vs. Precision in Nuclear Physics- A Tale of Three Scales
• From nucleon-nucleon interaction matrix elements in momentum space to an operator representation
• Properties of a separable representation of optical potentials
• The Shell Model, the Renormalization Group and the Two-Body Interaction
• Modern topics in theoretical nuclear physics
• Nuclear interactions from the renormalization group
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force
• Nucleon-nucleon potentials in phase-space representation
• $\pi \pi$ scattering from a similarity renormalization group perspective