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We apply improved nucleon-nucleon potentials up to fifth order in chiral effective field theory, along with a new analysis of the theoretical truncation errors, to study nucleon-deuteron (Nd) scattering and selected low-energy observables…

We study the perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering for p- and d-waves within the effective field theory approach. The one pion exchange potential is fully iterated at the leading order in…

Nuclear Theory · Physics 2011-12-16 M. Pavon Valderrama

In a recent work on low energy pion-nucleon scattering, instead of using chiral perturbation theory (ChPT) amplitude, we started from a pion-nucleon {\it soft-pion} result and used elastic unitarity directly as a dynamical constraint to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Isabela P. Cavalcante , J. Sa Borges

Interpreting measurements requires a physical theory, but the theory's accuracy may vary across the experimental domain. To optimize experimental design, and so to ensure that the substantial resources necessary for modern experiments are…

Results of an exploratory study of the antinucleon-nucleon interaction within chiral effective field theory are reported. The antinucleon-nucleon potential is derived up to next-to-next-to-leading order, based on a modified Weinberg power…

High Energy Physics - Phenomenology · Physics 2015-06-17 Xian-Wei Kang , Johann Haidenbauer , Ulf-G. Meißner

We show how nuclear effective field theory (EFT) and ab initio nuclear-structure methods can turn input from lattice quantum chromodynamics (LQCD) into predictions for the properties of nuclei. We argue that pionless EFT is the appropriate…

Nuclear Theory · Physics 2015-03-05 N. Barnea , L. Contessi , D. Gazit , F. Pederiva , U. van Kolck

We discuss shallow resonances in the nonrelativistic scattering of two particles using an effective field theory (EFT) that includes an auxiliary field with the quantum numbers of the resonance. We construct the manifestly renormalized…

High Energy Physics - Phenomenology · Physics 2021-06-15 J. B. Habashi , S. Fleming , U. van Kolck

Neutron matter presents a unique system in chiral effective field theory (EFT), because all many-body forces among neutrons are predicted to next-to-next-to-next-to-leading order (N3LO). We discuss perturbative and first Quantum Monte Carlo…

Nuclear Theory · Physics 2013-10-15 I. Tews , T. Krüger , A. Gezerlis , K. Hebeler , A. Schwenk

The BUQEYE model for correlated effective field theory (EFT) truncation errors assumes a regular pattern of dimensionless coefficients extracted from order-by-order observable calculations. This enables results from lower orders to inform…

Nuclear Theory · Physics 2025-08-26 P. J. Millican , R. J. Furnstahl , J. A. Melendez , D. R. Phillips

We present a relativistic chiral effective theory for symmetric and asymmetric nuclear matter taken in the Hartree-Fock scheme. The nuclear binding is insured by a background chiral invariant scalar field associated with the radial…

Nuclear Theory · Physics 2008-12-18 E. Massot , G. Chanfray

We derive a novel chiral power counting scheme for in-medium chiral perturbation theory with explicit nucleonic and pionic degrees of freedom coupled to external sources. It allows for a systematic expansion taking into account local as…

Nuclear Theory · Physics 2009-12-08 J. A. Oller , A. Lacour , U. -G. Meißner

Study of radiative $\alpha$ capture on $^{12}$C, $^{12}$C($\alpha$,$\gamma$)$^{16}$O, in cluster effective field theory (EFT) is reviewed. A low energy EFT for $^{12}$C($\alpha$,$\gamma$)$^{16}$O at the Gamow-peak energy, $E_G=0.3$~MeV, is…

Nuclear Theory · Physics 2025-04-11 Shung-Ichi Ando

Ever since quantum field theory was first applied to the derivation of nuclear forces in the mid-20th century, the renormalization of pion exchange with realistic couplings has presented a challenge. The implementation of effective field…

Nuclear Theory · Physics 2020-03-17 U. van Kolck

I describe the use of chiral effective theory (ChiET) to compute electromagnetic reactions in two- and three-nucleon systems. I first explain how chiral perturbation theory can be extended to the few-nucleon sector. I then explain the…

Nuclear Theory · Physics 2008-11-26 Daniel R. Phillips

We present quantum Monte Carlo calculations of light nuclei, neutron-$\alpha$ scattering, and neutron matter using local two- and three-nucleon ($3N$) interactions derived from chiral effective field theory up to next-to-next-to-leading…

Nuclear Theory · Physics 2016-02-18 J. E. Lynn , I. Tews , J. Carlson , S. Gandolfi , A. Gezerlis , K. E. Schmidt , A. Schwenk

We report on our present work, where by means of the Inverse Amplitude Method we unitarize the elastic pion nucleon scattering amplitudes of Heavy Barion Chiral Perturbation Theory at O(q^3). We reproduce the scattering up to the inelastic…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. R. Pelaez , A. Gomez Nicola

We apply the method of unitary transformations to a model two-nucleon potential and construct from it an effective potential in a subspace of momenta below a given cut-off $\Lambda$. The S-matrices in the full space and in the subspace are…

Nuclear Theory · Physics 2008-11-26 E. Epelbaoum , W. Glöckle , A. Krüger , Ulf-G. Meißner

Chiral effective field theory ($\chi$EFT) has proved to be a powerful microscopic framework for predicting the properties of neutron-rich nuclear matter with quantified theoretical uncertainties up to about twice the nuclear saturation…

High Energy Astrophysical Phenomena · Physics 2024-10-29 Duncan Neill , David Tsang , Christian Drischler , Jeremy W. Holt , William G. Newton

Chiral perturbation theory is the effective field theory of the standard model. In this talk, I discuss some applications of this framework to the pion--nucleon system. These are chiral corrections to the S--wave pion--nucleon scattering…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ulf-G. Meißner

We report a leading-order calculation of radiative ${}^{7}\mathrm{Li}$ neutron captures to both the ground and first excited state of ${}^{8}\mathrm{Li}$ in the framework of a low-energy effective field theory (Halo-EFT). Each of the…

Nuclear Theory · Physics 2014-03-05 Xilin Zhang , Kenneth M. Nollett , D. R. Phillips
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