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Effective field theory techniques are used to describe the interaction of heavy hadrons in a model independent way. Predictability is obtained by exploiting the symmetries of QCD. Heavy hadron chiral perturbation theory is reviewed and used…

High Energy Physics - Phenomenology · Physics 2007-05-23 Iain W. Stewart

Few years ago we started the investigation of microscopic Optical Potentials (OP) in the framework of chiral effective field theories and published our results in a series of manuscripts. Starting from the very first work, where a…

Nuclear Theory · Physics 2023-04-12 P. Finelli , M. Vorabbi , C. Giusti

Chiral effective field theory (EFT) predictions are necessarily truncated at some order in the EFT expansion, which induces an error that must be quantified for robust statistical comparisons to experiment. In previous work, a Bayesian…

Nuclear Theory · Physics 2017-08-28 J. A. Melendez , S. Wesolowski , R. J. Furnstahl

As guideline for forthcoming experiments, we present predictions from Chiral Effective Field Theory for polarized cross sections in low energy Compton scattering for photon energies below 170 MeV, both on the proton and on the neutron.…

Nuclear Theory · Physics 2009-11-10 Robert P. Hildebrandt , Harald W. Griesshammer , Thomas R. Hemmert

We construct the leading order hyperon-nucleon potential in chiral effective field theory. We show that a good description of the available data is possible and discuss briefly further improvements of this scheme.

Nuclear Theory · Physics 2008-11-26 Henk Polinder , Johann Haidenbauer , Ulf-G. Meißner

We analyze the longest-range two-pion exchange contributions to the three-nucleon force at leading-loop order in the framework of heavy-baryon chiral effective field theory with explicit $\Delta(1232)$ degrees of freedom. All relevant…

Nuclear Theory · Physics 2018-08-08 H. Krebs , A. M. Gasparyan , E. Epelbaum

Optical model potentials for elastic nucleon nucleus scattering are calculated for a number of target nuclides from a full-folding integral of two different realistic target density matrices together with full off-shell nucleon-nucleon…

Nuclear Theory · Physics 2008-11-26 Ch. Elster , S. P. Weppner , C. R. Chinn

We quantify the posterior predictive distributions (PPDs) of elastic neutron-deuteron ($nd$) scattering cross sections using nucleon-nucleon ($NN$) interactions from chiral effective field theory ($\chi$EFT) up to and including…

Nuclear Theory · Physics 2023-02-08 Sean B. S. Miller , Andreas Ekström , Christian Forssén

I describe the methodology for the use of dispersion relations in connection with chiral perturbation theory. The conditions for matching the two formalisms are given at $O(E^2)$ and $O(E^4)$. The two have several complementary features, as…

High Energy Physics - Phenomenology · Physics 2007-05-23 John F. Donoghue

We use Bayesian methods and Hamiltonian Monte Carlo (HMC) sampling to infer the posterior probability density function (PDF) for the low-energy constants (LECs) up to next-to-next-to-next- to-leading order (N3LO) in a chiral effective field…

Nuclear Theory · Physics 2024-07-29 Isak Svensson , Andreas Ekström , Christian Forssén

We present new maximally local two-nucleon interactions derived in $\Delta$-less chiral effective field theory up to next-to-next-to-next-to-leading order (N$^3$LO), which include all contact and pion-exchange contributions to the nuclear…

Nuclear Theory · Physics 2024-04-16 Rahul Somasundaram , Joel E. Lynn , Lukas Huth , Achim Schwenk , Ingo Tews

We present predictions for the neutron matter equation of state, from leading to fourth order of chiral effective field theory, using recently developed, accurate chiral nucleon-nucleon potentials. We find the impact of subleading…

Nuclear Theory · Physics 2021-09-15 Francesca Sammarruca , Randy Millerson

We investigate the roles of chiral three-nucleon force (3NF) in nucleon-nucleus elastic scattering, using the standard framework based on the Brueckner-Hartree-Fock method for nuclear matter and the $g$-matrix folding model for the…

Nuclear Theory · Physics 2015-06-19 Masakazu Toyokawa , Kosho Minomo , Michio Kohno , Masanobu Yahiro

The relativistic optical model potential (OMP) for nucleon-nucleus scattering is investigated in the framework of Dirac-Brueckner-Hartree-Fock (DBHF) approach using the Bonn-B One-Boson- Exchange potential for the bare nucleon-nucleon…

Nuclear Theory · Physics 2015-06-04 Ruirui Xu , Zhongyu Ma , E. N. E. van Dalen , H. Muther

We discuss the application of an effective field theory (EFT) which incorporates the chiral symmetry of QCD to Compton scattering from the proton and deuteron. We describe the chiral EFT analysis of the proton Compton scattering database…

Nuclear Theory · Physics 2015-06-11 Daniel R. Phillips , Judith A. McGovern , Harald W. Griesshammer

We investigate the nonlocal structure of optical model potentials for nucleon-nucleus scattering based on microscopic approaches. To this purpose, \emph{in-medium} folding optical potentials are calculated in momentum space and their…

Nuclear Theory · Physics 2018-12-05 H. F. Arellano , G. Blanchon

I summarize two recent applications of chiral perturbation theory to electromagnetic reactions on deuterium: elastic electron-deuteron scattering, and Compton scattering on deuterium. Both calculations have now been carried out to three…

Nuclear Theory · Physics 2009-11-11 Daniel R. Phillips

The density matrix expansion (DME) of Negele and Vautherin is a convenient tool to map finite-range physics associated with vacuum two- and three-nucleon interactions into the form of a Skyme-like energy density functional (EDF) with…

Nuclear Theory · Physics 2015-03-13 B. Gebremariam , S. K. Bogner , T. Duguet

We present a theoretical parametrization of the nucleon electromagnetic form factors (FFs) based on a combination of chiral effective field theory and dispersion analysis. The isovector spectral functions on the two-pion cut are computed…

High Energy Physics - Phenomenology · Physics 2018-08-15 J. M. Alarcón , C. Weiss

Chiral expansions of the two-pion exchange components of both two- and three-nucleon forces are reviewed and a discussion is made of the predicted pattern of hierarchies. The strength of the scalar-isoscalar central potential is found to be…

Nuclear Theory · Physics 2008-11-26 M. R. Robilotta