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Title: Chiral dynamics in few-nucleon systems

Abstract

Chiral Effective Field Theory (EFT) has become a standard tool for analyzing the properties of hadronic systems at low energy in a systematic and controlled way based upon the approximate and spontaneously broken chiral symmetry of Quantum Chromodynamics (QCD). Based on Weinberg's idea to use chiral EFT to derive nuclear forces, this method has also been successfully applied to a few-nucleon problems. Energy-independent and hermitian nuclear potentials can be derived from the chiral Lagrangian e.g. using the method of unitary transformation. This scheme can also be applied to derive the corresponding nuclear current operator. They have used this framework to study the 2N system at next-to-next-to-next-to-leading order (N{sup 3}LO) in the chiral expansion. The theoretical uncertainty for scattering observables at N{sup 3}LO is expected to be of the order {approx} 0.5%, 7% and 25% at laboratory energy {approx} 50, 150 and 250 MeV. The findings agree well with these estimations. Three- and more-nucleon systems have been considered so far up to next-to-next-to-leading order. For the first time, the complete chiral three-nucleon force has been included in few-body calculations, which starts to contribute at this order. N{sup 3}LO analysis of > 2N systems is in progress. Recently they have worked outmore » the leading and subleading isospin-violating 3N forces using the method of unitary transformation, which are largely driven by nucleon and pion mass differences. The work on isospin-breaking 2N forces is underway.« less

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
836339
Report Number(s):
JLAB-THY-05-299; DOE/ER/40150-3082
TRN: US0500558
DOE Contract Number:  
AC05-84ER40150
Resource Type:
Conference
Resource Relation:
Conference: 337th International WE-Heraeus Seminar on Effective Field Theories in Nuclear, Particle and Atomic Physics, Conference location not supplied, 12/13/2004; Other Information: PBD: 1 Dec 2004
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ATOMIC PHYSICS; CHIRAL SYMMETRY; FIELD THEORIES; LAGRANGIAN FUNCTION; MASS DIFFERENCE; NUCLEAR FORCES; NUCLEAR POTENTIAL; NUCLEONS; PIONS; QUANTUM CHROMODYNAMICS; SCATTERING

Citation Formats

Epelbaum, Evgeny. Chiral dynamics in few-nucleon systems. United States: N. p., 2004. Web.
Epelbaum, Evgeny. Chiral dynamics in few-nucleon systems. United States.
Epelbaum, Evgeny. 2004. "Chiral dynamics in few-nucleon systems". United States. https://www.osti.gov/servlets/purl/836339.
@article{osti_836339,
title = {Chiral dynamics in few-nucleon systems},
author = {Epelbaum, Evgeny},
abstractNote = {Chiral Effective Field Theory (EFT) has become a standard tool for analyzing the properties of hadronic systems at low energy in a systematic and controlled way based upon the approximate and spontaneously broken chiral symmetry of Quantum Chromodynamics (QCD). Based on Weinberg's idea to use chiral EFT to derive nuclear forces, this method has also been successfully applied to a few-nucleon problems. Energy-independent and hermitian nuclear potentials can be derived from the chiral Lagrangian e.g. using the method of unitary transformation. This scheme can also be applied to derive the corresponding nuclear current operator. They have used this framework to study the 2N system at next-to-next-to-next-to-leading order (N{sup 3}LO) in the chiral expansion. The theoretical uncertainty for scattering observables at N{sup 3}LO is expected to be of the order {approx} 0.5%, 7% and 25% at laboratory energy {approx} 50, 150 and 250 MeV. The findings agree well with these estimations. Three- and more-nucleon systems have been considered so far up to next-to-next-to-leading order. For the first time, the complete chiral three-nucleon force has been included in few-body calculations, which starts to contribute at this order. N{sup 3}LO analysis of > 2N systems is in progress. Recently they have worked out the leading and subleading isospin-violating 3N forces using the method of unitary transformation, which are largely driven by nucleon and pion mass differences. The work on isospin-breaking 2N forces is underway.},
doi = {},
url = {https://www.osti.gov/biblio/836339}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Dec 01 00:00:00 EST 2004},
month = {Wed Dec 01 00:00:00 EST 2004}
}

Conference:
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