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The neutron-matter equation of state constrains the properties of many physical systems over a wide density range and can be studied systematically using chiral effective field theory (EFT). In chiral EFT, all many-body forces among…

Nuclear Theory · Physics 2013-08-13 T. Krüger , I. Tews , K. Hebeler , A. Schwenk

We study a low-energy effective field theory (EFT) describing the NN system in which all exchanged particles are integrated out. We show that fitting the residue of the 3S1 amplitude at the deuteron pole, rather than the 3S1 effective…

Nuclear Theory · Physics 2014-11-18 Daniel R. Phillips , Gautam Rupak , Martin J. Savage

The charge-dependent nucleon-nucleon ($NN$) interactions are crucial in understanding the nuclear structure and reaction problems. This work explores the charge-dependent $NN$ interaction in covariant chiral effective field theory. By…

Nuclear Theory · Physics 2025-04-23 Yang Xiao , Jun-Xu Lu , Li-Sheng Geng

Quantum mechanical invariance principles dictate the most general operator structure that can be present in the nucleon-nucleon (NN) interaction. Five independent operators appear in the on-shell NN amplitude together with five…

Nuclear Theory · Physics 2025-01-17 B. McClung , Ch. Elster , D. R. Phillips

We examine the results of Chiral Effective Field Theory ($\chi$EFT) for the scalar- and spin-dipole polarisabilities of the proton and neutron, both for the physical pion mass and as a function of $m_\pi$. This provides chiral…

Nuclear Theory · Physics 2016-07-15 Harald W. Griesshammer , Judith A. McGovern , Daniel R. Phillips

Chiral effective field theory ($\chi$EFT) is a powerful tool for studying electroweak processes in nuclei. I discuss $\chi$EFT calculations of three key nuclear electroweak processes: primordial deuterium production, proton-proton fusion,…

Nuclear Theory · Physics 2024-04-18 Bijaya Acharya

The three-nucleon (NNN) interaction derived within the chiral effective field theory at the next-to-next-to-leading order (N2LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction…

Nuclear Theory · Physics 2008-11-26 Petr Navratil

The chiral effective field theory (ChEFT) is an extension of the chiral perturbation theory that includes the nuclear forces and weak currents at the hadronic and nuclear scales. We propose a systematic framework of parametrising the…

High Energy Physics - Phenomenology · Physics 2025-01-27 Hao Sun , Yi-Ning Wang , Jiang-Hao Yu

Most nuclear structure calculations, even for full configuration interaction approaches, are performed within truncated model spaces. These require consistent transformations of the Hamiltonian and operators to account for the missing…

Nuclear Theory · Physics 2019-08-21 Francesco Raimondi , Carlo Barbieri

Chiral effective field theory (EFT) provides a systematic expansion for the coupling of WIMPs to nucleons at the momentum transfers relevant to direct cold dark matter detection. We derive the currents for spin-dependent WIMP scattering off…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 J. Menendez , D. Gazit , A. Schwenk

We present a calculation of the three complex form factors parametrizing the nucleon to Delta transition matrix element in the framework of chiral effective field theory with explicit Delta degrees of freedom. The interplay between short…

Nuclear Theory · Physics 2008-11-26 Tobias A. Gail , Thomas R. Hemmert

Chiral effective field theory ($\chi$EFT), as originally proposed by Weinberg, promises a theoretical connection between low-energy nuclear interactions and quantum chromodynamics (QCD). However, the important property of…

Nuclear Theory · Physics 2021-05-19 C. -J. Yang , A. Ekström , C. Forssén , G. Hagen

We present NN potentials through five orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-next-to-leading order (N4LO). The construction may be perceived as consistent in the sense that the…

Nuclear Theory · Physics 2017-08-16 D. R. Entem , R. Machleidt , Y. Nosyk

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

Within the one-loop approximation of baryon chiral perturbation theory we calculate all one-pion and two-pion exchange contributions to the nucleon-nucleon interaction. In fact we construct the elastic NN-scattering amplitude up to and…

Nuclear Theory · Physics 2009-10-30 N. Kaiser , R. Brockmann , W. Weise

We calculate the nucleon-nucleon scattering amplitudes in the 1S0 and 3S1-3D1 channels at next-to-next to leading order starting from a recently proposed non-relativistic chiral effective theory, which includes dibaryon fields as…

Nuclear Theory · Physics 2010-04-06 Joan Soto , Jaume Tarrus

In recent years, the combination of advanced quantum Monte Carlo (QMC) methods and local interactions derived from chiral effective field theory (EFT) has been shown to provide a versatile and systematic approach to nuclear systems.…

Nuclear Theory · Physics 2019-03-14 Diego Lonardoni , Ingo Tews

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

We present a model-independent approach to electric quadrupole transitions of deformed nuclei. Based on an effective theory for axially symmetric systems, the leading interactions with electromagnetic fields enter as minimal couplings to…

Nuclear Theory · Physics 2015-07-29 E. A. Coello Pérez , T. Papenbrock

We recently developed a Bayesian framework for parameter estimation in general effective field theories. Here we present selected results from using that framework to estimate parameters with a nucleon-nucleon (NN) potential derived using…

Nuclear Theory · Physics 2019-03-15 S. Wesolowski , R. J. Furnstahl , J. A. Melendez , D. R. Phillips