Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence

Abstract

We study a method by which realistic nucleon-nucleon potentials V_NN can be reduced, in a physically equivalent way, to an effective low-momentum potential V-low-k confined within a cut-off momentum k-cut. Our effective potential is obtained using the folded-diagram method of Kuo, Lee and Ratcliff, and it is shown to preserve the half-on-shell T-matrix. Both the Andreozzi-Lee-Suzuki and the Andreozzi-Krenciglowa-Kuo iteration methods have been employed in carrying out the reduction. Calculations have been performed for the Bonn A and Paris NN potentials, using various choices for k-cut such as 2 fm-1. The deuteron binding energy, low-energy NN phase shifts, and the low-momentum half-on-shell T-matrix given by V_NN are all accurately reproduced by V-low-k. Possible applications of V-low-k directly to nuclear matter and nuclear structure calculations are discussed.

5 pages, 2 figures, talk presented by TTSK at FB16 International Conference, Taipei, Taiwan March 6-10, 2000

Cited by in corpus (54)

• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Shell-model calculations and realistic effective interactions
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Symmetry restoration in mean-field approaches
• Bare vs effective pairing forces. A microscopic finite-range interaction for HFB calculations in coordinate space
• Renormalization of the GT operator within the realistic shell model
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential
• Realistic shell-model calculations for isotopic chains "north-east'' of 48Ca in the (N,Z) plane
• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• The structure of nuclear systems derived from low momentum nucleon-nucleon potentials
• Study of neutron-rich calcium isotopes with a realistic shell-model interaction
• Nuclear Structure Calculations and Modern Nucleon-Nucleon Potentials
• A self-consistent study of multipole response in neutron-rich nuclei using a modified realistic potential
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Family of Hermitian Low-Momentum Nucleon Interactions with Phase Shift Equivalence
• Pairing in nuclear systems with effective Gogny and V_low-k interactions
• Analysis of one-neutron transfer reaction in ${}^{18}$O + ${}^{76}$Se collision at 275 MeV
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Double-step truncation procedure for large-scale shell-model calculations
• Shell-model study of the N=82 isotonic chain with a realistic effective hamiltonian
• Recent progress in configuration-interaction shell model
• Hartree-Fock Approximation for the $Abinitio$ No-Core Shell Model
• Counter Terms for Low Momentum Nucleon-Nucleon Interactions
• Nuclear Structure Calculations with Low-Momentum Potentials in a Model Space Truncation Approach
• Neutron star, $\beta$-stable ring-diagram equation of state and Brown-Rho scaling
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
• Weakly bound nuclei and realistic NN interactions
• Effective interactions and operators in no-core shell model
• Low-momentum ring diagrams of neutron matter at and near the unitary limit
• Low-momentum interactions with Brown-Rho-Ericson scalings and the density dependence of the nuclear symmetry energy
• Unitarity potentials and neutron matter at the unitary limit
• Introduction to low-momentum effective interactions with Brown-Rho scaling and three-nucleon forces
• Renormalization group analysis of nuclear current operators
• Nuclear Saturation with Low Momentum Interactions
• Study of the ground-state energy of 40Ca with the CD-Bonn nucleon-nucleon potential
• Short-range correlations for neutrinoless double-beta decay and low-momentum NN potentials
• Tri-axial deformation in nuclei with realistic NN interactions
• Three-Body Bound State Calculations by Using Three-Dimensional Low Momentum Interaction $V_{low-k}$
• Pairing in Nuclear Matter and Finite Nuclei
• Separable form of low-momentum realistic NN interaction
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• Realistic shell-model calculations for neutron-rich calcium isotopes
• The Spin Orbit term in the Nuclear Shell Model
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Role of Three-Nucleon Forces in Neutron-Rich Nuclei Beyond 132Sn
• Unitary limit and linear scaling of neutrons in harmonic trap with tuned CD-Bonn and square-well interactions
• Core polarization, Brown-Rho scaling and a memory of Gerry's Princeton years
• Simultaneous impacts of nuclear shell structure and collectivity on $\beta$ decay: Evidence from ${}^{80}$Ga${}_{49}$
• Short History of Nuclear Many-Body Problem
• Neutrinoless Double-Beta Decay and Realistic Shell Model
• Anomalous mapping between pionfull and pionless EFT's