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We discuss relations and differences between two methods for the construction of unitarily transformed effective interactions, the Similarity Renormalization Group (SRG) and Unitary Correlation Operator Method (UCOM). The aim of both…

Nuclear Theory · Physics 2008-11-26 R. Roth , S. Reinhardt , H. Hergert

We employ the effective field theory method to systematically study the short-range interaction in two-body sector in 2, 3 and 4 spacetime dimensions, respectively. The phi**4 theory is taken as a specific example and matched onto the…

High Energy Physics - Theory · Physics 2007-05-23 Yu Jia

In this work we derive a systematic short-range expansion of the many-body wave function. At leading order, the wave function is factorized to a zero-energy $s$-wave correlated pair and spectator particles, while terms that include energy…

Nuclear Theory · Physics 2023-07-13 Ronen Weiss , Diego Lonardoni , Stefano Gandolfi

The Unitary Correlation Operator Method (UCOM) is employed to treat short-range correlations in both, homogeneous liquid and small droplets of bosonic He-4 atoms. The dominating short-range correlations in these systems are described by an…

Statistical Mechanics · Physics 2007-05-23 R. Roth , H. Feldmeier

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…

Recent experiments have succeeded in isolating processes for which short-range correlation (SRC) physics is dominant and well accounted for by SRC phenomenology. But an alternative and compelling picture emerges from renormalization group…

Nuclear Theory · Physics 2021-09-22 A. J. Tropiano , S. K. Bogner , R. J. Furnstahl

Recently, a method was developed for implementing arbitrary short-range nucleon-nucleon correlations in Monte Carlo sampled nuclei (as well as deformations of the 1-body nuclear density). We use this method to implement realistic 2-body…

Nuclear Theory · Physics 2023-12-19 Matthew Luzum , João Paulo Picchetti , Mauricio Hippert , Jean-Yves Ollitrault

We present a new ab-initio method that uses similarity renormalization group (SRG) techniques to continuously diagonalize nuclear many-body Hamiltonians. In contrast with applications of the SRG to two- and three-nucleon interactions in…

Nuclear Theory · Physics 2011-07-21 K. Tsukiyama , S. K. Bogner , A. Schwenk

In the framework of the ab-initio no-core shell model (NCSM), we describe the longitudinal-longitudinal distribution function, part of the inclusive (e,e') longitudinal response. In the two-body cluster approximation, we compute the…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , James P. Vary

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

One of the main challenges for ab initio nuclear many-body theory is the growth of computational and storage costs as calculations are extended to heavy, exotic, and structurally complex nuclei. Here, we investigate the factorization of…

Nuclear Theory · Physics 2021-10-13 B. Zhu , R. Wirth , H. Hergert

The first practical method to evolve many-body nuclear forces to softened form using the Similarity Renormalization Group (SRG) in a harmonic oscillator basis is demonstrated. When applied to He4 calculations, the two- and three-body…

Nuclear Theory · Physics 2009-09-02 E. D. Jurgenson , P. Navratil , R. J. Furnstahl

We discuss the application of an effective theory with contact interactions to the non-relativistic four-body system with short-range interactions. We have computed the binding energies of the 4He tetramer and the alpha-particle. A…

Nuclear Theory · Physics 2007-05-23 L. Platter

Applications of the similarity renormalization group (SRG) approach [F. Wegner, Ann. Phys. 506, 77 (1994), S. D. G{\l}azek and K. G. Wilson, Phys. Rev. D 49, 4214 (1994)] to the formulation of useful many-body theories of electron…

Chemical Physics · Physics 2015-06-19 Francesco A. Evangelista

A study of the effects of short-range correlations over the (e,e'p) reaction for low missing energy in closed shell nuclei is presented. We use correlated, quasi-hole overlap functions extracted from the asymptotic behavior of the one-body…

Nuclear Theory · Physics 2008-11-26 M. Mazziotta , J. E. Amaro , F. Arias de Saavedra

We employ correlated realistic nucleon-nucleon interactions for the description of nuclear ground states throughout the nuclear chart within the Hartree-Fock approximation. The crucial short-range central and tensor correlations, which are…

Nuclear Theory · Physics 2007-05-23 R. Roth , P. Papakonstantinou , N. Paar , H. Hergert , T. Neff , H. Feldmeier

We make variational estimates for the binding energies of $^2H,~^3H,~^4He,~^{16}O,~^{40}Ca$, showing their running with the Similarity Renormalization Group (SRG) cutoff towards the infrared region and show the generalized Tjon lines that…

Nuclear Theory · Physics 2021-04-06 E. Ruiz Arriola , S. Szpigel , V. S. Timoteo

The short range repulsion between nucleons is treated by a unitary correlation operator which shifts the nucleons away from each other whenever their uncorrelated positions are within the replusive core. By formulating the correlation as a…

Nuclear Theory · Physics 2009-10-30 H. Feldmeier , T. Neff , R. Roth , J. Schnack

Using realistic wave functions, the proton-neutron and proton-proton momentum distributions in $^3He$ and $^4He$ are calculated as a function of the relative, $k_{rel}$, and center of mass, $K_{CM}$, momenta, and the angle between them. For…

Nuclear Theory · Physics 2015-06-03 M. Alvioli , C. Ciofi degli Atti , L. P. Kaptari , C. B. Mezzetti , H. Morita , S. Scopetta

I examine the evolution of nuclear forces under the similarity renormalization group (SRG) using traces of the many-body configuration-space Hamiltonian. While SRG is often said to "soften" the nuclear interaction, I provide numerical…

Nuclear Theory · Physics 2017-11-28 Calvin W. Johnson