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We develop a formalism for calculating the distribution of the axial quadrupole operator in the laboratory frame within the rotationally invariant framework of the configuration-interaction shell model. The calculation is carried out using…

Nuclear Theory · Physics 2018-01-31 C. N. Gilbreth , Y. Alhassid , G. F. Bertsch

A many-body expansion for the computation of the charge form factor in the center-of-mass system is proposed. For convergence testing purposes, we apply our formalism to the case of the harmonic oscillator shell model, where an exact…

Nuclear Theory · Physics 2009-10-31 Bogdan Mihaila , Jochen H. Heisenberg

We examine the leading effects of two-body weak currents from chiral effective field theory on the matrix elements governing neutrinoless double-beta decay. In the closure approximation these effects are generated by the product of a…

Nuclear Theory · Physics 2018-09-12 Long-Jun Wang , Jonathan Engel , Jiang Ming Yao

[Background:] It is well known that effective nuclear interactions are in general nonlocal. Thus if nuclear densities obtained from {\it ab initio} no-core-shell-model (NCSM) calculations are to be used in reaction calculations,…

Nuclear Theory · Physics 2018-02-28 M. Burrows , Ch. Elster , G. Popa , K. D. Launey , A. Nogga , P. Maris

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

The density functional theory of nuclear structure provides a many-particle wave function that is useful for static properties, but an extension of the theory is necessary to describe correlation effects or other dynamic properties. Here we…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid , G. F. Bertsch , L. Fang , B. Sabbey

In this work, we present a new approximate method for obtaining simple wave functions for the ground state of exotic nuclei with a neutron halo. We model the system as a two-cluster structure, treating the core and halo as inert objects.…

Nuclear Theory · Physics 2025-03-21 H. M. Maridi , Jagjit Singh , N. R. Walet , D. K. Sharp

A goal of nuclear theory is to make quantitative predictions of low-energy nuclear observables starting from accurate microscopic internucleon forces. A major element of such an effort is applying unitary transformations to soften the…

We present the results of the application of a nuclear potential consisting of two- and three-nucleon contact interactions in nuclear structure investigations. The nuclear Hamiltonian has been derived for a very low-energy regime within the…

Nuclear Theory · Physics 2025-11-25 Songlin Lyu , Francesco Amodio , Giovanni De Gregorio , Nunzio Itaco , Luigi Coraggio

The formalism based on Correlated Basis Functions (CBF) and the cluster-expansion technique has been recently employed to derive an effective interaction from a realistic nuclear Hamiltonian. One of the main objectives of the work described…

Nuclear Theory · Physics 2016-03-08 Angela Mecca

Precision tests of the Standard Model and searches for beyond the Standard Model physics often require nuclear structure input. There has been a tremendous progress in the development of nuclear ab initio techniques capable of providing…

Nuclear Theory · Physics 2022-01-05 Petr Navratil

The three-nucleon (NNN) interaction derived within the chiral effective field theory at the next-to-next-to-leading order (N2LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction…

Nuclear Theory · Physics 2008-11-26 Petr Navratil

The need to enforce fermionic antisymmetry in the nuclear many-body problem commonly requires use of single-particle coordinates, defined relative to some fixed origin. To obtain physical operators which nonetheless act on the nuclear…

Nuclear Theory · Physics 2020-12-02 M. A. Caprio , A. E. McCoy , P. J. Fasano

We investigate $\alpha$-like correlations in $^{20}$Ne. A quartet of nucleons (different spin/isospin) is moving in a mean field produced by the $^{16}$O core nucleus. Improving the Thomas-Fermi model (local density approach), a shell model…

Nuclear Theory · Physics 2018-12-05 G. Röpke

We illustrate the application of the recently developed SCET$_{\rm BSM}$ framework in the context of a specific model, in which the Standard Model (SM) is supplemented by a heavy scalar $S$ and three generations of heavy, vector-like quarks…

High Energy Physics - Phenomenology · Physics 2019-05-22 Stefan Alte , Matthias Koenig , Matthias Neubert

We study the complete non-decoupling effects of the standard model Higgs boson to one loop. Using effective field theory methods, we integrate out the Higgs boson and represent its non-decoupling effects by a set of gauge invariant…

High Energy Physics - Phenomenology · Physics 2009-10-28 Maria J. Herrero , Ester Ruiz Morales

We present a near-linear scaling formulation of the explicitly-correlated coupled-cluster singles and doubles with perturbative triples method (CCSD(T)$_{\overline{\text{F12}}}$) for high-spin states of open-shell species. The approach is…

Chemical Physics · Physics 2024-07-30 Ashutosh Kumar , Frank Neese , Edward F. Valeev

We derive a widely-applicable first principles approach for determining two-body, static effective interactions for low-energy Hamiltonians with quantitative accuracy. The algebraic construction rigorously conserves all instantaneous…

Strongly Correlated Electrons · Physics 2024-03-19 Charles J. C. Scott , George H. Booth

Atomic nuclei are complex strongly interacting systems and their exact theoretical description is a long-standing challenge. An approximate description of nuclei can be achieved by separating its short and long range structure. This…

Nuclear Theory · Physics 2018-05-08 R. Weiss , R. Cruz-Torres , N. Barnea , E. Piasetzky , O. Hen

The minimal $SO(5)/SO(4)$ sigma model is used as a template for the ultraviolet completion of scenarios in which the Higgs particle is a low-energy remnant of some high-energy dynamics, enjoying a (pseudo) Nambu-Goldstone boson ancestry.…

High Energy Physics - Phenomenology · Physics 2017-02-01 M. B. Gavela , K. Kanshin , P. A. N. Machado , S. Saa
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