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The ground state energy of a system of electrons and nuclei is proven to be a variational functional of the conditional electronic density $n_R(\mathbf{r})$, the nuclear wavefunction $\chi(R)$ and an induced vector potential $A_{\mu}(R)$…

Chemical Physics · Physics 2016-11-08 Ryan Requist , E. K. U. Gross

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

We have studied electroweak (EW) interactions in quantum hadrodynamics (QHD) effective field theory (EFT). The Lorentz-covariant EFT contains nucleon, pion, $\Delta$, isoscalar scalar ($\sigma$) and vector ($\omega$) fields, and isovector…

Nuclear Theory · Physics 2012-03-20 Brian D. Serot , Xilin Zhang

We present a new approach to the construction of effective interactions suitable for many-body calculations by means of the no-core shell model (NCSM). We consider an effective field theory (EFT) with only nucleon fields directly in the…

Nuclear Theory · Physics 2008-11-26 I. Stetcu , B. R. Barrett , U. van Kolck

Effective field theories are the most general tool for the description of low energy phenomena. They are universal and systematic: they can be formulated for any low energy systems we can think of and offer a clear guide on how to calculate…

Nuclear Theory · Physics 2017-04-21 Manuel Pavon Valderrama

The nuclear lattice effective field theory (NLEFT) is an efficient tool for solving nuclear many-body problems, which takes high-fidelity lattice chiral interactions as input and computes nuclear low-energy observables via quantum Monte…

Nuclear Theory · Physics 2026-01-07 Chengxin Wu , Teng Wang , Bing-Nan Lu , Ning Li

We explore the effects on nuclear bulk properties of using regularization cutoffs larger than the nucleon mass within the chiral effective field theory with a power counting that ensures order-by-order renormalization in the two-nucleon…

Nuclear Theory · Physics 2026-04-27 M. Sánchez Sánchez , Dao Duy Duc , L. Bonneau

We study effective field theories (EFT) of nuclear structure based on spontaneously broken global $SU(2)_L\times SU(2)_R$ chiral symmetry of QCD with two massless quarks, i.e. $SU(2)\chi PT$. For ground-state nuclei, this EFT enables…

High Energy Physics - Phenomenology · Physics 2021-12-17 Bryan W. Lynn , Brian J. Coffey , Kellen E. McGee , Glenn D. Starkman

How does nuclear binding emerge from first principles? Our current best understanding of nuclear forces is based on a systematic low-energy expansion called chiral effective field theory. However, recent {\it ab initio} calculations of…

Nuclear Theory · Physics 2019-09-20 Bing-Nan Lu , Ning Li , Serdar Elhatisari , Dean Lee , Evgeny Epelbaum , Ulf-G. Meißner

The description of structural and dynamical properties of nuclei starting from the fundamental interaction between nucleons has been a long-standing goal in nuclear physics. The ab initio No-Core Shell Model combined with the…

The present paper is the second of a series of publications that aim at investigating relevant directions to turn the nuclear energy density functional (EDF) method as an effective field theory (EFT). The EDF approach has known numerous…

Strongly Correlated Electrons · Physics 2024-03-07 Kilian Fraboulet , Jean-Paul Ebran

We report on the construction of an accurate relativistic chiral nucleon-nucleon interaction up to the next-to-next-to-leading (NNLO) order. We compare the so-obtained neutron-proton phaseshifts with the next-to-next-to-next-to-leading…

Nuclear Theory · Physics 2022-04-25 Jun-Xu Lu , Yang Xiao , Chun-Xuan Wang , Li-Sheng Geng

Electromagnetic (EM) interactions are incorporated in a recently proposed effective field theory of the nuclear many-body problem. Earlier work with this effective theory exhibited EM couplings that are correct only to lowest order in both…

Nuclear Theory · Physics 2008-11-26 Brian D. Serot

A two-nucleon potential and consistent electromagnetic currents are derived in chiral effective field theory ($\chi$EFT) at, respectively, $Q^{2}$ (or N$^2$LO) and $e Q$ (or N$^3$LO), where $Q$ generically denotes the low-momentum scale and…

Nuclear Theory · Physics 2009-11-06 S. Pastore , L. Girlanda , R. Schiavilla , M. Viviani , R. B. Wiringa

Nucleon-nucleon (NN) forces from chiral perturbation theory at next-to-leading (NLO) and next-to-next-to-leading order (NNLO) are applied to systems with two, three and four nucleons. At NNLO, we consider two versions of the chiral…

Nuclear Theory · Physics 2007-05-23 E. Epelbaum , A. Nogga , W. Gloeckle , H. Kamada , U. -G. Meissner , H. Witala

We extend the prediction range of Pionless Effective Field Theory with an analysis of the ground state of $^{16}$O in leading order. To renormalize the theory, we use as input both experimental data and lattice QCD predictions of nuclear…

Nuclear Theory · Physics 2017-09-13 L. Contessi , A. Lovato , F. Pederiva , A. Roggero , J. Kirscher , U. van Kolck

The description of nuclei starting from the constituent nucleons and the realistic interactions among them has been a long-standing goal in nuclear physics. In addition to the complex nature of the nuclear forces, with two-, three- and…

In the absence of a tree-level scalar-field mass, renormalization-group (RG) methods permit the explicit summation of leading-logarithm contributions to all orders of the perturbative series for the effective-potential functions utilized in…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

Heavy baryon chiral perturbation theory ($\chi$PT), where the $\Delta$ resonance is included, is used in order to examine the axial charged-current component of the weak interaction process at low neutrino energies. At leading chiral order…

Nuclear Theory · Physics 2019-03-13 Fred Myhrer

We present the first Green's function Monte Carlo calculations of light nuclei with nuclear interactions derived from chiral effective field theory up to next-to-next-to-leading order. Up to this order, the interactions can be constructed…

Nuclear Theory · Physics 2014-11-11 J. E. Lynn , J. Carlson , E. Epelbaum , S. Gandolfi , A. Gezerlis , A. Schwenk