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Nuclear matter calculations based on low-momentum interactions derived from chiral nucleon-nucleon and three-nucleon effective field theory interactions and fit only to few-body data predict realistic saturation properties with controlled…

Nuclear Theory · Physics 2009-03-21 S. K. Bogner , R. J. Furnstahl , A. Nogga , A. Schwenk

With the goal of using chiral interactions at various orders to explore properties of the few-body nuclear systems, we write the recently developed local chiral interactions as spherical irreducible tensors and implement them in the…

Nuclear Theory · Physics 2021-02-24 Simone Salvatore Li Muli , Sonia Bacca , Nir Barnea

We compare nuclear and neutron matter predictions based on two different ab initio approaches to nuclear forces and the nuclear many-body problem. The first consists of a realistic meson-theoretic nucleon-nucleon potential together with the…

Nuclear Theory · Physics 2013-05-30 F. Sammarruca , B. Chen , L. Coraggio , N. Itaco , R. Machleidt

In recent years, there has been substantial progress in the derivation of nuclear forces from chiral effective field theory. Accurate two-nucleon forces (2NF) have been constructed up to next-to-next-to-next-to-leading order (N3LO) of…

Nuclear Theory · Physics 2009-09-20 R. Machleidt

Modern softened nucleon-nucleon interactions are well-suited for perturbative many-body calculations, but a many-body power counting scheme is lacking. Estimates of diagrammatic contributions at finite density are important ingredients in…

Nuclear Theory · Physics 2017-11-29 A. Dyhdalo , S. K. Bogner , R. J. Furnstahl

We evaluate the second--order (beyond--mean--field) contribution to the equation of state of nuclear matter with the effective Skyrme force and use cutoff and dimensional regularizations to treat the ultraviolet divergence produced by the…

Nuclear Theory · Physics 2016-09-21 C. J. Yang , M. Grasso , X. Roca-Maza , G. Colò , K. Moghrabi

We consider matrix elements of two-nucleon operators that arise in chiral effective theories of the two-nucleon system. Generically, the short-distance piece of these operators scales as 1/r^n, with r the relative separation of the two…

Nuclear Theory · Physics 2008-11-26 L. Platter , D. R. Phillips

A framework to evolve three-nucleon (3N) forces in a plane-wave basis with the Similarity Renormalization Group (SRG) is presented and applied to consistent interactions derived from chiral effective field theory at next-to-next-to-leading…

Nuclear Theory · Physics 2012-03-06 Kai Hebeler

The utility of the non-relativistic large-charge EFT for physical systems, and neutron matter in particular, relies on controlled Schr\"odinger-symmetry breaking deformations due to scattering length and effective-range effects in the…

Nuclear Theory · Physics 2025-01-22 Silas R. Beane , Domenico Orlando , Susanne Reffert

Background: Effective interactions for nucleon-nucleus ($NA$) elastic scattering from first principles require the use of the same nucleon-nucleon ($NN$) interaction in the structure and reaction calculations, and a consistent treatment of…

Nuclear Theory · Physics 2022-12-28 R. B. Baker , B. McClung , Ch. Elster , P. Maris , S. P. Weppner , M. Burrows , G. Popa

Three-nucleon (3N) forces are an indispensable ingredient for accurate few-body and many-body nuclear structure and reaction theory calculations. While the direct implementation of chiral 3N forces can be technically very challenging, a…

Nuclear Theory · Physics 2020-05-08 Jeremy W. Holt , Mamiya Kawaguchi , Norbert Kaiser

Using modern nucleon-nucleon interactions in the description of the $A=3,4$ nuclear systems the $\chi^2$ per datum results to be much bigger than one. In particular it is not possible to reproduce the three- and four-nucleon binding…

Nuclear Theory · Physics 2015-05-20 A. Kievsky

Low-energy nuclear interactions have been extensively studied in the framework of chiral effective field theory. The corresponding potentials have been worked out using dimensional regularization to evaluate ultraviolet divergent loop…

Nuclear Theory · Physics 2023-11-21 Hermann Krebs , Evgeny Epelbaum

Three-nucleon forces are an essential ingredient for an accurate description of nuclear few- and many-body systems. However, implementing them directly in many-body calculations is technically very challenging. Thus, there is a need for an…

Nuclear Theory · Physics 2021-01-07 Lukas Treuer

Temperature effects on the neutron matter equation of state are investigated in the framework of chiral effective field theory. Latest, state-of-the-art chiral two-nucleon forces are applied from third to fifth order in the chiral expansion…

Nuclear Theory · Physics 2020-07-15 F. Sammarruca , R. Machleidt , R. Millerson

Effective field theory requires all observables to be independent of the representation used for the quantum field operators. It means that off-shell properties of the interactions should not lead to any observable effects. We analyse this…

Nuclear Theory · Physics 2016-09-08 Boris Krippa , Michael C. Birse , Judith A. McGovern , Niels R. Walet

We discuss a specific cut-off effect which appears in applying the non-perturbative RI/MOM scheme to compute the renormalization constants. To illustrate the problem a Dirac operator satisfying the Ginsparg-Wilson relation is used, but the…

High Energy Physics - Lattice · Physics 2008-07-02 Vidushi Maillart , Ferenc Niedermayer

We extend the renormalizability study of the formulation of chiral effective field theory with a finite cutoff, applied to nucleon-nucleon scattering, by taking into account non-perturbative effects. We consider the nucleon-nucleon…

Nuclear Theory · Physics 2023-04-19 A. M. Gasparyan , E. Epelbaum

Determination of the proper power-counting scheme is an important issue for the systematic application of Chiral Effective Field Theory in nuclear physics. We analyze the cutoff dependence of three-nucleon observables (the neutron-deuteron…

Nuclear Theory · Physics 2019-08-14 Young-Ho Song , Rimantas Lazauskas , U. van Kolck

We study the equation of state of neutron matter at finite temperature based on two- and three-nucleon interactions derived within chiral effective field theory to next-to-next-to-next-to-leading order. The free energy, pressure, entropy,…

Nuclear Theory · Physics 2021-05-18 J. Keller , C. Wellenhofer , K. Hebeler , A. Schwenk