Separable form of low-momentum realistic NN interaction

Abstract

The low-momentum interaction $V_{\text{low-k}}$ derived from realistic models of the nucleon-nucleon interaction is presented in a separable form. This separable force is supported by a contact interaction in order to achieve the saturation properties of symmetric nuclear matter. Bulk properties of nuclear matter and finite nuclei are investigated for the separable form of $V_{\text{low-k}}$ and two different parameterizations of the contact term. The accuracy of the separable force in Hartree-Fock calculations with respect to the original interaction $V_{\text{low-k}}$ is discussed. For a cutoff parameter $\Lambda$ of 2 fm${}^{-1}$ a representation by a rank 2 separable force yields a sufficient accuracy, while higher ranks are required for larger cut-off parameters. The resulting separable force is parameterized in a simple way to allow for an easy application in other nuclear structure calculations.

arXiv comment11 pages, 7 figures

References in corpus (27)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Construction of high-quality Nucleon-Nucleon potential models
• Quantum Monte Carlo calculations of A=8 nuclei
• Kaon production in heavy ion reactions at intermediate energies
• Evidence for a Soft Nuclear Equation-of-State from Kaon Production in Heavy Ion Collisions
• Probing the nuclear equation of state by $K^{+}$ production in heavy ion collisions
• Is nuclear matter perturbative with low-momentum interactions?
• Instabilities of infinite matter with effective Skyrme-type interactions
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence
• Axially deformed relativistic Hartree Bogoliubov with separable pairing force
• Non-empirical pairing energy density functional. First order in the nuclear plus Coulomb two-body interaction
• Convergence of the Born Series with Low-Momentum Interactions
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Azimuthal dependence of collective expansion for symmetric heavy ion collisions
• Charge-dependent calculations of single-particle energies in nuclei around ^{16}O with modern nucleon-nucleon interactions
• The structure of nuclear systems derived from low momentum nucleon-nucleon potentials
• Properties of asymmetric nuclear matter in different approaches
• Pairing in nuclear systems with effective Gogny and V_low-k interactions
• Mean field and pairing properties in the crust of neutron stars
• Extended Skyrme interaction (I): spin fluctuations in dense matter
• S-pairing in neutron matter. I. Correlated Basis Function Theory
• Correlations and effective interactions in nuclear matter
• Weakly bound nuclei and realistic NN interactions
• Nuclear Saturation with Low Momentum Interactions
• Separability of a Low-Momentum Effective Nucleon-Nucleon Potential

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