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We present an effective field theory (EFT) for a model-independent description of deformed atomic nuclei. In leading order this approach recovers the well-known results from the collective model by Bohr and Mottelson. When higher-order…

Nuclear Theory · Physics 2016-04-14 T. Papenbrock , H. A. Weidenmüller

A one-dimensional system of bosons with short-range repulsion and mid-range attraction is used as a laboratory to explore the evolution of many-body forces by the Similarity Renormalization Group (SRG). The free-space SRG is implemented for…

Nuclear Theory · Physics 2009-02-12 E. D. Jurgenson , R. J. Furnstahl

Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interaction-induced correlations by unitary transformations. We…

Nuclear Theory · Physics 2010-06-08 Robert Roth , Thomas Neff , Hans Feldmeier

A quantitative understanding of the weak nuclear response is a prerequisite for the computer simulations of astrophysical phenomena like supernov$\ae$ explosions and neutron star cooling. In order to reduce the systematic uncertainties…

Nuclear Theory · Physics 2014-11-18 Nicola Farina

The status of relativistic nuclear many-body calculations of nuclear systems to be built up in terms of protons and neutrons is reviewed. In detail, relativistic effects on several aspects of nuclear matter such as the effective mass,…

Nuclear Theory · Physics 2015-03-13 E. N. E. van Dalen , H. Müther

Effective field theories have been successful in describing nuclei up to the alpha particle but face significant challenges for larger nuclei due to leading-order instabilities. These issues can be addressed with the introduction of a fake…

Nuclear Theory · Physics 2025-12-02 U. van Kolck

In correlated electron materials, the application of many-body techniques for the study of interaction effects or unconventional superconductivity often requires the formulation of an effective low-energy model that contains only the…

Strongly Correlated Electrons · Physics 2013-05-30 Carsten Honerkamp

I present the case for studying the nature of short-range internucleon interactions with electron-scattering experiments on few-body nuclear targets. I first review what electron-scattering studies have unearthed about the nature of the…

Nuclear Experiment · Physics 2011-04-15 J. A. Templon

Heavy even-even nuclei exhibit low-energy collective excitations that are separated in scale from the microscopic (fermion) degrees of freedom. This separation of scale allows us to approach nuclear vibrations within an effective field…

Nuclear Theory · Physics 2016-11-21 E. A. Coello Pérez , T. Papenbrock

We present a study of two-nucleon scattering in chiral effective field theory with a finite cutoff to next-to-leading order in the chiral expansion. In the proposed scheme, the contributions of the lowest-order interaction to the scattering…

Nuclear Theory · Physics 2022-02-23 A. M. Gasparyan , E. Epelbaum

We study neutron matter and symmetric nuclear matter with the quark-meson model for the two-nucleon interaction. The Bethe-Bruckner-Goldstone many-body theory is used to describe the correlations up to the three hole-line approximation with…

Nuclear Theory · Physics 2014-12-11 M. Baldo , K. Fukukawa

We compare nuclear forces derived from chiral effective field theory (EFT) with those obtained from traditional (phenomenological and meson) models. By means of a careful analysis of paralleles and differences, we show that chiral EFT is…

Nuclear Theory · Physics 2020-04-22 R. Machleidt , F. Sammarruca

In many-body theory it is often useful to renormalize short-distance, high-momentum components of an interaction via unitary transformations. Such transformations preserve the on-shell physical observables of the two-body system (mostly…

Nuclear Theory · Physics 2014-11-21 Calvin W. Johnson

Hyperon-nucleons interactions constructed by two frameworks, the Kyoto-Niigata SU$_6$ quark model and the chiral effective field theory, are compared by investigating equivalent interactions in a low-momentum space and in addition by…

Nuclear Theory · Physics 2010-04-08 M. Kohno

We construct the most general, relativistically invariant, contact Lagrangian at order Q^2 in the power counting, Q denoting the low momentum scale. A complete, but non-minimal, set of (contact) interaction terms is identified, which upon…

Nuclear Theory · Physics 2010-05-28 L. Girlanda , S. Pastore , R. Schiavilla , M. Viviani

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 standard approach to nuclear physics encodes phase shift information in an NN potential, then decodes that information in forming an effective interaction, appropriate to a low-momentum Hilbert space. Here we show that it is instead…

Nuclear Theory · Physics 2016-08-30 Kenneth S. McElvain , W. C. Haxton

Effective field theory (EFT) is generalized to investigate the rotational motion of triaxially deformed even-even nuclei. A Hamiltonian, called the triaxial rotor model (TRM), is obtained up to next-to-leading order (NLO) within the EFT…

Nuclear Theory · Physics 2017-11-22 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

We revisited how Weinberg's ideas in Nuclear Physics influenced our own work and lead to a renormalization group invariant framework within the quantum mechanical few-body problem, and we also update the discussion on the relevant scales in…

Nuclear Theory · Physics 2021-11-12 Lauro Tomio , Tobias Frederico , Varese S. Timóteo , Marcelo T. Yamashita

The investigation of light nuclei with ab-initio methods provides an optimal setting to probe our knowledge on nuclear forces, because the few-nucleon problem can be solved accurately. Nucleons interact not only in pairs but also via…

Nuclear Theory · Physics 2011-04-07 Sonia Bacca