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Two-nucleon effective field theory (EFT) beyond momenta of order the pion mass is studied for both cutoff regularization and dimensional regularization with power divergence subtraction (PDS). Models with two mass scales illustrate how…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

We investigate low energy nucleon dynamics in the effective field theory (EFT) of nuclear forces. In leading order of the two-nucleon EFT we show that nucleon dynamics is governed by the generalized dynamical equation with a…

Nuclear Theory · Physics 2009-11-07 Renat Kh. Gainutdinov , Aigul A. Mutygullina

Predictive power in theoretical nuclear physics has been a major concern in the study of nuclear structure and reactions. The Effective Field Theory (EFT) based on chiral expansions provides a model independent hierarchy for many body…

Nuclear Theory · Physics 2017-04-05 E. Ruiz Arriola , J. E. Amaro , R. Navarro Perez

Nuclear energy density functionals (EDFs) have a long history of success in reproducing properties of nuclei across the table of the nuclides. They capture quantitatively the emergent features of bound nuclei, such as nuclear saturation and…

Nuclear Theory · Physics 2020-06-24 R. J. Furnstahl

During the past two decades, chiral effective field theory has become a popular tool to derive nuclear forces from first principles. Two-nucleon interactions have been worked out up to sixth order of chiral perturbation theory and…

Nuclear Theory · Physics 2016-08-31 R. Machleidt , F. Sammarruca

Chiral effective field theory (EFT) provides a systematic and controlled approach to low-energy nuclear physics. Here, we use chiral EFT to calculate low-energy weak Gamow-Teller transitions. We put special emphasis on the role of two-body…

Nuclear Theory · Physics 2015-06-11 Doron Gazit

An extensive study of three-nucleon force effects in the entire phase space of the nucleon-deuteron breakup process, for energies from above the deuteron breakup threshold up to 200 MeV, has been performed. 3N Faddeev equations have been…

Nuclear Theory · Physics 2009-11-07 J. Kuros-Zolnierczuk , H. Witala , J. Golak , H. Kamada , A. Nogga , R. Skibinski , W. Glockle

Low energy phenomena involving two nucleons can be successfully described using effective field theory. Because of the relatively large expansion parameter, it is only at next-to-next-to-leading order (NNLO) where one can expect to see…

Nuclear Theory · Physics 2007-05-23 Thomas Mehen , Iain W. Stewart

Effective field theories (EFTs) are widely used to study many-body systems by describing two-body interactions using zero-ranged contact potentials. However, when extended to three-body processes, these contact interactions lead to…

Quantum Gases · Physics 2026-03-02 Corinne Beckers , Jacques Tempere , Jeff Maki , Denise Ahmed-Braun

The virtues of an effective field theory (EFT) approach to many-body problems are illustrated by deriving the expansion for the energy of an homogeneous, interacting Fermi gas at low density and zero temperature. A renormalization scheme…

Nuclear Theory · Physics 2009-11-06 H. -W. Hammer , R. J. Furnstahl

We calculate the electric dipole moments (EDMs) of three-nucleon systems at leading order in pionless effective field theory. The one-body contributions that arise from permanent proton and neutron EDMs and the two-body contributions that…

Recently, we have derived a two--nucleon potential and consistent nuclear electromagnetic currents in chiral effective field theory with pions and nucleons as explicit degrees of freedom. The calculation of the currents has been carried out…

Nuclear Theory · Physics 2015-05-14 L. Girlanda , S. Pastore , R. Schiavilla , M. Viviani

We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein

We treat low-energy $^3$He-$\alpha$ elastic scattering in an Effective Field Theory (EFT) that exploits the separation of scales in this reaction. We compute the amplitude up to Next-to-Next-to-Leading Order (NNLO), developing a hierarchy…

Nuclear Theory · Physics 2022-07-06 Maheshwor Poudel , Daniel R. Phillips

3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He using the set of integral equations developed by Kok et al. which includes the full off-shell T-matrix for the Coulomb…

Nuclear Theory · Physics 2011-02-01 Shung-ichi Ando , Michael C. Birse

Effective field theory provides a powerful framework to exploit a separation of scales in physical systems. In these lectures, we discuss some general aspects of effective field theories and their application to few-body physics. In…

Nuclear Theory · Physics 2017-06-28 H. -W. Hammer , Sebastian König

We use an effective field theory (EFT) approach to calculate the next to leading order (NLO) gravitational spin-orbit interaction between two spinning compact objects. The NLO spin-orbit interaction provides the most computationally complex…

General Relativity and Quantum Cosmology · Physics 2010-12-03 Michele Levi

Recent experimental results in three-body systems have unambiguously shown that calculations based on nucleon-nucleon forces fail to accurately describe many experimental observables and one needs to include effects which are beyond the…

Nuclear Theory · Physics 2011-08-04 N. Kalantar-Nayestanaki , E. Epelbaum

A new effective field theory has been developed to describe shallow $P$-wave resonances using nonlocal, momentum-dependent two-body potentials. This approach is expected to facilitate many-body calculations and has been demonstrated to…

Nuclear Theory · Physics 2023-09-04 Qingfeng Li , Songlin Lyu , Chen Ji , Bingwei Long

We consider low-energy nucleons at next-to-next-to-leading order in lattice chiral effective field theory. Three-body interactions first appear at this order, and we discuss several methods for determining three-body interaction…

Nuclear Theory · Physics 2009-07-22 Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner
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