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As a new scheme of treating the tensor interaction of the nucleon-nucleon interaction, there is a proposal of a tensor-optimized shell-model (TOSM) for the study of medium and heavy nuclei. The TOSM includes the deuteron-like tensor…

Nuclear Theory · Physics 2012-07-03 Kaori Horii , Hiroshi Toki , Takayuki Myo , Kiyomi Ikeda

Knockout reactions with heavy ion targets in inverse kinematics, as well as "quasi-free" (p,2p) and (p,pn) reactions are useful tools for nuclear spectroscopy. We report calculations on \textit{ab-initio} many-body wavefunctions based on…

Nuclear Theory · Physics 2022-02-28 Jianguo Li , Carlos A. Bertulani , Furong Xu

Although the modern shell-model picture of atomic nuclei is built from single-particle orbits with good total angular momentum $j$, leading to $j$-$j$ coupling, phenomenological models suggested decades ago that for $0p$-shell nuclides a…

Nuclear Theory · Physics 2015-04-14 Calvin W. Johnson

In the framework of pionless nucleon-nucleon effective field theory we study different approximation schemes for the nuclear many body problem. We consider, in particular, ladder diagrams constructed from particle-particle, hole-hole, and…

Nuclear Theory · Physics 2009-11-11 Thomas Schaefer , Chung-Wen Kao , Stephen R. Cotanch

We consider the system of three ${}^4$He atoms to assess whether a pure van der Waals potential can be used as a starting point for an effective field theory to describe three-body processes in ultracold atomic systems. Using a long-range…

Quantum Gases · Physics 2021-08-11 Daniel Odell , Arnoldas Deltuva , Lucas Platter

One-neutron halo nuclei, composed by a weakly-bound particle coupled to a core nucleus, are studied within a particle-plus-core model. A semi-microscopic method to generate the two-body Hamiltonian of such a system, including core…

Nuclear Theory · Physics 2014-02-20 J. A. Lay , A. M. Moro , J. M. Arias , Y. Kanada-En'yo

Smashing nuclei at ultrarelativistic speeds and analyzing the momentum distribution of outgoing debris provides a powerful method to probe the many-body properties of the incoming nuclear ground states. Within a perturbative description of…

Nuclear Theory · Physics 2025-04-04 Thomas Duguet , Giuliano Giacalone , Sangyong Jeon , Alexander Tichai

We investigate the role of the central two-body nucleon-nucleon correlations on typical quantities observed in relativistic heavy-ion collisions. Basic correlation measures, such as the fluctuations of the participant eccentricity, initial…

Nuclear Theory · Physics 2010-12-30 Maciej Rybczynski , Wojciech Broniowski

The three-body energy-dependent effective interaction given by the Bloch-Horowitz (BH) equation is evaluated for various shell-model oscillator spaces. The results are applied to the test case of the three-body problem (triton and He3),…

Nuclear Theory · Physics 2009-11-10 T. C. Luu , S. Bogner , W. C. Haxton , P. Navratil

We describe the properties of complex nuclei, such as the Sn isotopes with mass numbers A = 100 - 132, in terms of the free nucleon--nucleon interaction as obtained from meson--exchange theory. This amounts to first calculating an effective…

Nuclear Theory · Physics 2007-05-23 T. Engeland , M. Hjorth-Jensen , A. Holt , E. Osnes

We present our current studies and our future plans on microscopic potential based on effective nucleon-nucleon interaction and many-body theory. This framework treats in an unified way nuclear structure and reaction. It offers the…

Nuclear Theory · Physics 2016-01-27 G. Blanchon , M. Dupuis , H. F. Arellano

We calculate, for the first time, the state-dependent pairing gap of a finite nucleus (120Sn) diagonalizing the bare nucleon-nucleon potential (Argonne v14) in a Hartree-Fock basis (with effective k-mass m_k eqult to 0.7 m), within the…

Nuclear Theory · Physics 2009-11-10 F. Barranco , R. A. Broglia , G. Colo' , E. Vigezzi , P. F. Bortignon

$\mathbf{Background:}$ Realistic nucleon-nucleon interactions induce short-range correlations in nuclei. To solve the many-body problem unitary transformations like the similarity renormalization group (SRG) are often used to soften the…

Nuclear Theory · Physics 2015-08-19 Thomas Neff , Hans Feldmeier , Wataru Horiuchi

Motivated by recent findings on the separability of optical potentials that are derived from folding off-shell densities with off-shell nucleon-nucleon amplitudes, we study the off-shell character of one-body density matrices created within…

Nuclear Theory · Physics 2026-03-13 J. Foy , Ch. Elster , P. Maris , S. P. Weppner , S. K. Bogner

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

Nonlocal coordinate space optical potentials for the scattering of 65 MeV protons from nuclei ranging in mass from 6Li to 238U have been defined by folding a complex, medium dependent effective interaction with the density matrix elements…

Nuclear Theory · Physics 2008-11-26 P. J. Dortmans , K. Amos , S. Karataglidis , J. Raynal

We report on the calculation of the neutrinoless double-beta decay nuclear matrix element for 76Ge within the framework of the realistic shell model. The effective shell-model Hamiltonian and the two-body transition operator describing the…

Nuclear Theory · Physics 2020-01-08 Nunzio Itaco , Luigi Coraggio , Riccardo Mancino

We consider the counter-term describing isoscalar axial two-body currents in the nucleon-nucleon interaction, L1A, in the effective field theory approach. We determine this quantity using the solar neutrino data. We investigate the…

Nuclear Theory · Physics 2009-11-10 A. B. Balantekin , H. Yuksel

We extend the recently proposed ab initio no-core shell model with continuum to include three-nucleon (3N) interactions beyond the few-body domain. The extended approach allows for the assessment of effects of continuum degrees of freedom…

We derive a formalism, the separation method, for the efficient and accurate calculation of two-body matrix elements for a Gaussian potential in the cylindrical harmonic-oscillator basis. This formalism is of critical importance for…

Nuclear Theory · Physics 2010-11-02 W. Younes
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