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Modern techniques of the renormalization group (RG) combined with effective field theory (EFT) methods are revolutionizing nuclear many-body physics. In these lectures we will explore the motivation for RG in low-energy nuclear systems and…

Nuclear Theory · Physics 2015-06-04 R. J. Furnstahl

Short-range correlations in nuclear and neutron matter are examined through the properties of the correlated wave function obtained by solving the Bethe-Goldstone equation. Tensor correlations are explored through the dominant tensor-driven…

Nuclear Theory · Physics 2014-12-24 Francesca Sammarruca

The configuration interaction approach to nuclear structure uses the effective Hamiltonian in a finite orbital space. The various parts of this Hamiltonian and their interplay are responsible for specific features of physics including the…

Nuclear Theory · Physics 2017-02-27 S. Karampagia , Vladimir Zelevinsky

The contact formalism, a useful tool for analyzing short-range correlations, is generalized here for systems with coupled channels, such as in nuclear physics. The relevant asymptotic form is presented and contact matrices are defined.…

Nuclear Theory · Physics 2017-11-01 Ronen Weiss , Nir Barnea

The fully self-consistent Random Phase Approximation (RPA) is constructed within the Unitary Correlation Operator Method (UCOM), which describes the dominant interaction-induced short-range central and tensor correlations by a unitary…

Nuclear Theory · Physics 2009-11-11 N. Paar , P. Papakonstantinou , R. Roth , H. Hergert

Ab-initio Quantum Monte Carlo (QMC) calculations of nuclei from deuterium to 40Ca, obtained using four different phenomenological and local chiral nuclear potentials, are analyzed using the Generalized Contact Formalism (GCF). We extract…

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

Short range correlations are introduced using unitary correlation method in a relativistic approach to the equation of state of the infinite nuclear matter in the framework of the Hartree-Fock approximation. It is shown that the…

Nuclear Theory · Physics 2011-07-19 P. K. Panda , João da Providência , Constança Providência

The linear correlation between RMS radius difference and composition asymmetry in two-component many-body systems is a robust feature observed across nuclear experiments, diverse theoretical models, and metallic nano-alloy cluster…

Nuclear Theory · Physics 2026-02-03 Y. Lei

We introduce a novel \abinitio many-body method designed to compute the properties of nuclei in the continuum. This approach combines well-established techniques, namely the Complex Scaling (CS) and Similarity Renormalization Group (SRG)…

Nuclear Theory · Physics 2025-07-03 Osama Yaghi , Guillaume Hupin , Petr Navrátil

We present an overview of low-momentum two-nucleon and many-body interactions and their use in calculations of nuclei and infinite matter. The softening of phenomenological and effective field theory (EFT) potentials by renormalization…

Nuclear Theory · Physics 2015-03-13 S. K. Bogner , R. J. Furnstahl , A. Schwenk

By using bare Argonne V4' (AV4'), V6' (AV6'), and V8' (AV8') nucleon-nucleon (NN) interactions respectively, the nuclear equations of state (EOSs) for neutron matter are calculated with the unitary correlation operator and high-momentum…

Nuclear Theory · Physics 2020-12-04 Niu Wan , Takayuki Myo , Chang Xu , Hiroshi Toki , Hisashi Horiuchi , Mengjiao Lyu

We review the role played by long-distance symmetries within the context of the similarity renormalization group approach. This is based on phase-shift-preserving continuous unitary transformations that evolve Hamiltonians with a cutoff on…

Nuclear Theory · Physics 2013-02-19 E. Ruiz Arriola , V. S. Timoteo , S. Szpigel

The many-body states in an extended Fermionic Molecular Dynamics approach are flexible enough to allow the description of nuclei with shell model nature as well as nuclei with cluster and halo structures. Different many-body configurations…

Nuclear Theory · Physics 2009-11-10 T. Neff , H. Feldmeier

Various perturbative and non-perturbative many-body techniques are discussed in this work. Especially, we will focus on the summation of so-called Parquet diagrams with emphasis on applications to finite nuclei. Here, the subset of two-body…

Nuclear Theory · Physics 2007-05-23 M. Hjorth-Jensen

The consistent description of the nuclear response at low and high momentum transfer requires a unified dynamical model, suitable to account for both short- and long-range correlation effects. We report the results of a study of the charged…

Nuclear Theory · Physics 2009-10-06 Omar Benhar , Nicola Farina

We examine the response of closed-shell nuclei using a correlated interaction, derived with the Unitary Correlation Operator Method (UCOM) from the Argonne V18 potential, in second RPA (SRPA) calculations. The same correlated two-body…

Nuclear Theory · Physics 2009-01-13 P. Papakonstantinou , R. Roth

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

The main goal of the research presented in this dissertation was to develop a theoretical model for relativistic nuclear spectral functions at high missing momenta and removal energies based on the multi-nucleon short-range correlation…

Nuclear Theory · Physics 2018-05-09 Oswaldo Artiles

The problem of nucleon-nucleon correlations and meson exchange currents has been vividly debated in connection with the neutrino-nucleus cross sections. In this work we focus on nucleon-nucleon correlations by discussing a formal…

Nuclear Theory · Physics 2021-11-17 G. Chanfray , M. Ericson , M. Martini
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