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Within a covariant Bethe-Salpeter approach, the relativistic complex separable neutron-proton interaction kernel is proposed. The uncoupled partial-wave states with the total angular momentum $J$=0,1 are considered. The multirank separable…

Nuclear Theory · Physics 2011-06-23 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya

The problem of the divergences which arise in beyond mean-field calculations, when a zero-range effective interaction is employed, has not been much considered so far. Some of us have proposed, quite recently, a scheme to regularize a…

Nuclear Theory · Physics 2014-10-22 Marco Brenna , Gianluca Colò , Xavier Roca-Maza

A lepton-neutron potential in configuration space is obtained. It is based on the Coulomb plus hyperfine interaction Hamiltonian integrated over the neutron charge and magnetic densities. Different parametrisations of the neutron…

High Energy Physics - Phenomenology · Physics 2024-05-07 Jaume Carbonell , Tobias Frederico

We calculate the equation of state of a Fermi gas with resonant interactions when the effective range is appreciable. Using an effective field theory for large scattering length and large effective range, we show how calculations in this…

Nuclear Theory · Physics 2009-11-11 A. Schwenk , C. J. Pethick

Making use of the finite rank separable approach for the quasiparticle random phase approximation enables one to perform nuclear structure calculations in very large two-quasiparticle spaces. The approach is extended to take into account…

Nuclear Theory · Physics 2008-11-26 A. P. Severyukhin , V. V. Voronov , Nguyen Van Giai

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

A procedure to obtain single-electron wavefunctions within the tight-binding formalism is proposed. It is based on linear combinations of Slater-type orbitals whose screening coefficients are extracted from the optical matrix elements of…

Materials Science · Physics 2016-09-16 R. Benchamekh , F. Raouafi , J. Even , F. Ben Cheikh Larbi , P. Voisin , J. -M. Jancu

We extend a recent chiral approach to nuclear matter by including the most general (momentum-independent) NN-contact interaction. Iterating this two-parameter contact-vertex with itself and with one-pion exchange the emerging energy per…

Nuclear Theory · Physics 2009-11-10 S. Fritsch , N. Kaiser

The properties of pairing correlations in symmetric nuclear matter are studied in the relativistic mean field (RMF) theory with the effective interaction PK1. Considering well-known problem that the pairing gap at Fermi surface calculated…

Nuclear Theory · Physics 2010-11-23 Jun Li , Bao Yuan Sun , Jie Meng

We study the equation of state of symmetric nuclear matter at zero temperature over a wide range of densities using two complementary theoretical approaches. At low densities up to twice nuclear saturation density, we compute the energy per…

Nuclear Theory · Physics 2020-11-24 M. Leonhardt , M. Pospiech , B. Schallmo , J. Braun , C. Drischler , K. Hebeler , A. Schwenk

We present results of a systematic study of the capture process through the barrier penetration model. The nucleus-nucleus interaction potential is calculated using the double-folding model (DFM) with the M3Y Paris NN forces. The nucleon…

Nuclear Theory · Physics 2023-05-02 I. I. Gontchar , M. V. Chushnyakova , O. M. Sukhareva

Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

Nuclear Theory · Physics 2020-06-02 Anton Repko

We introduce a fast mesh-based method for computing N-body interactions that is both scalable and accurate. The method is founded on a particle-particle--particle-mesh P3M approach, which decomposes a potential into rapidly decaying…

Numerical Analysis · Computer Science 2015-03-31 Natalie N. Beams , Luke N. Olson , Jonathan B. Freund

In present work, we study an numerical approach to one dimensional finite volume three-body interaction, the method is demonstrated by considering a toy model of three spinless particles interacting with pair-wise $\delta$-function…

High Energy Physics - Lattice · Physics 2018-01-31 Peng Guo , Vladimir Gasparian

Exotic cluster decay of very heavy nuclei is studied using the microscopic nuclear potentials obtained by folding density dependent M3Y effective interaction with the densities of the cluster and the daughter nuclei. The microscopic nuclear…

Nuclear Theory · Physics 2009-06-24 T. R. Routray , Jagajjaya Nayak , D. N. Basu

The prediction of single particle level crossing phenomenon between $2p_{3/2}$ and $1f_{5/2}$ orbitals in $Ni$- and $Cu$-isotopic chains by the finite range simple effective interaction without requiring the tensor part is discussed. In…

Nuclear Theory · Physics 2022-08-31 P. Bano , X. Viñas , T. R. Routray , M. Centelles , M. Anguiano , L. M. Robledo

We employ the Born-Oppenheimer approximation to find the effective potential in a three-body system consisting of a light particle and two heavy ones when the heavy-light short-range interaction potential has a resonance corresponding to a…

Atomic Physics · Physics 2013-09-25 Maxim A. Efremov , Lev Plimak , Misha Yu. Ivanov , Wolfgang P. Schleich

The exactly solvable model of two indistinguishable quantum particles (bosons or fermions) confined in a one-dimensional harmonic trap and interacting via finite-range soft-core interaction is presented and many properties of the system are…

Quantum Gases · Physics 2018-01-09 Przemysław Kościk , Tomasz Sowiński

Recently, a new parameterization of the Gogny interaction suitable for astrophysical applications, named D1M*, has been presented. We investigate the possible existence of spurious finite-size instabilities of this new Gogny force by…

Nuclear Theory · Physics 2019-10-09 M. Martini , A. De Pace , K. Bennaceur

We derive the effective interaction between two quasiparticles in symmetric nuclear matter resulting from the leading-order chiral three-nucleon force. We restrict our study to the L=0,1 Landau parameters of the central quasiparticle…

Nuclear Theory · Physics 2015-06-03 J. W. Holt , N. Kaiser , W. Weise