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Related papers: Four-nucleon shell-model calculations in a Faddeev…

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We calculate the low-lying spectra of heavy tin isotopes from A=120 to A=130 using the 2s1d0g_{7/2}0h_{11/2} shell to define the model space. An effective interaction has been derived using 132Sn as closed core employing perturbative…

Nuclear Theory · Physics 2009-10-30 A. Holt , T. Engeland , M. Hjorth-Jensen , E. Osnes

A solvable model is proposed for the description of octupole phonons in closed-shell nuclei, formulated in terms of shell-model par\-ticle--hole excitations. With some simple assumptions concerning single-particle energies and two-body…

Nuclear Theory · Physics 2020-12-02 P. Van Isacker

The possible existence of four-neutron resonances close to the physical energy region is explored. Faddeev-Yakubovsky equations have been solved in configuration space using realistic nucleon-nucleon interaction models. Complex Scaling and…

Nuclear Theory · Physics 2007-05-23 R. Lazauskas , J. Carbonell

Many-body approaches for atomic nuclei generally rely on a basis expansion of the nuclear states, interactions, and current operators. In this work, we derive the representation of the magnetic dipole operator in plane-wave and…

Nuclear Theory · Physics 2023-12-05 R. Seutin , O. J. Hernandez , T. Miyagi , S. Bacca , K. Hebeler , S. König , A. Schwenk

We explore the possible existence of light $\phi$-mesic nuclei using HAL QCD $\phi N$ interactions for the $^2S_{1/2}$ and $^4S_{3/2}$ channels. Particularly, using the Faddeev formalism in configuration space, the $\phi NN$ system, and…

Nuclear Theory · Physics 2026-01-21 I. Filikhin , R. Ya. Kezerashvili , B. Vlahovic

The 4He3 system is investigated using a hard-core version of the Faddeev differential equations and realistic 4He-4He interactions. We calculate the binding energies of the 4He trimer but concentrate in particular on scattering observables.…

Atomic and Molecular Clusters · Physics 2007-05-23 A. K. Motovilov , W. Sandhas , S. A. Sofianos , E. A. Kolganova

The Non-Symmetrized Hyperspherical Harmonics method (NSHH) is introduced in the hypernuclear sector and benchmarked with three different ab-initio methods, namely the Auxiliary Field Diffusion Monte Carlo method, the Faddeev-Yakubovsky…

Recently it was argued that it might be possible treat the conventional nuclear structure problem -- nonrelativistic point nucleons interacting through a static and rather singular potential -- as an effective theory in a shell-model basis.…

Nuclear Theory · Physics 2009-11-07 W. C. Haxton , T. Luu

We propose a novel idea to construct an effective interaction under energy-density-functional (EDF) theories which is adaptive to the enlargement of the model space. Guided by effective field theory principles, iterations of interactions as…

Nuclear Theory · Physics 2022-07-22 C. J. Yang , W. G. Jiang , S. Burrello , M. Grasso

We use diagrammatic many-body perturbation theory in combination with low-momentum interactions derived from chiral effective field theory to construct effective shell-model transition operators for the neutrinoless double-beta decay of…

Nuclear Theory · Physics 2013-07-23 Jason D. Holt , Jonathan Engel

A review is presented of the development and current status of nuclear shell-model calculations in which the two-body effective interaction is derived from the free nucleon-nucleon potential. The significant progress made in this field…

Nuclear Theory · Physics 2008-12-18 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

The spectral function of the closed-shell Neon atom is computed by expanding the electron self-energy through a set of Faddeev equations. This method describes the coupling of single-particle degrees of freedom with correlated two-electron,…

Chemical Physics · Physics 2009-11-13 C. Barbieri , D. Van Neck , W. H. Dickhoff

The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing…

Nuclear Theory · Physics 2014-02-26 M. R. Hadizadeh , S. Bayegan

We construct an effective shell-model interaction for the valence space spanned by single-particle neutron and single-hole proton states in $^{100}$Sn. Starting from chiral nucleon-nucleon and three-nucleon forces and single-reference…

Nuclear Theory · Physics 2021-12-16 Z. H. Sun , G. Hagen , G. R. Jansen , T. Papenbrock

We implement complex scaling of Faddeev equations using hyper-spheric coordinates and adiabatic expansion. Complex scaling of coordinates allows convenient calculations of three-body resonances. We derive the necessary equations and…

Nuclear Theory · Physics 2009-11-10 D. V. Fedorov , E. Garrido , A. S. Jensen

An effective interaction is derived for use in the full pf basis. Starting from a realistic G-matrix interaction, 195 two-body matrix elements and 4 single-particle energies are determined by fitting to 699 energy data in the mass range 47…

Nuclear Theory · Physics 2008-11-26 M. Honma , T. Otsuka , B. A. Brown , T. Mizusaki

A method using an expansion of the four-body Yakubovsky wave function components onto the basis of the Faddeev-equation solutions for the two-cluster sub-Hamiltonian eigenfunctions is exploited for computations of low-energy scattering…

Nuclear Theory · Physics 2011-04-15 S. L. Yakovlev , I. N. Filikhin

Different momentum space Faddeev-like equations and their solutions for the radiative pd-capture and the three-nucleon photodisintegration of 3He are presented. Applications are based on the AV18 nucleon-nucleon and the Urbana IX three…

Nuclear Theory · Physics 2009-11-10 R. Skibinski , J. Golak , H. Witala , W. Glockle , A. Nogga

The general formulation of a technically advantageous method to find the ground state solution of the Schrodinger equation in configuration space for systems with a number of particles A greater than 4 is presented. The wave function is…

Nuclear Theory · Physics 2009-10-31 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

We have performed shell-model calculations for the even- and odd-mass N=82 isotones, focusing attention on low-energy states. The single-particle energies and effective two-body interaction have been both determined within the framework of…

Nuclear Theory · Physics 2009-12-17 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo
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