scholarly journals Electric dipole moment of light nuclei in chiral effective field theory

2022 ◽  
Vol 258 ◽  
pp. 06007
Author(s):  
Alex Gnech ◽  
Jordy de Vries ◽  
Sachin Shain ◽  
Michele Viviani
Keyword(s):  
Field Theory ◽  
Dipole Moment ◽  
Electric Dipole Moment ◽  
Effective Field Theory ◽  
Electric Dipole ◽  
Effective Field ◽  
Chiral Expansion ◽  
Nuclear Potential ◽  
Leading Order ◽  
Chiral Effective Field Theory

CP-violating interactions at quark level generate CP-violating nuclear interactions and currents, which could be revealed by looking at the presence of a permanent nuclear electric dipole moment. Within the framework of chiral effective field theory, we discuss the derivation of the CP-violating nuclear potential up to next-to-next-to leading order (N2LO) and the preliminary results for the charge operator up to next-to leading order (NLO). Moreover, we introduce some renormalization argument which indicates that we need to promote the short-distance operator to the leading order (LO) in order to reabsorb the divergences generated by the one pion exchange. Finally, we present some selected numerical results for the electric dipole moments of 2H, 3He and 3H discussing the systematic errors introduced by the truncation of the chiral expansion.

An effective field theory for the neutron electric dipole moment

1992 ◽  
Vol 384 (1-2) ◽  
pp. 147-167 ◽  
Author(s):  
D. Chang ◽  
T.W. Kephart ◽  
W.-Y. Keung ◽  
T.C. Yuan
Keyword(s):  
Field Theory ◽  
Dipole Moment ◽  
Electric Dipole Moment ◽  
Effective Field Theory ◽  
Electric Dipole ◽  
Effective Field ◽  
Neutron Electric Dipole Moment

scholarly journals Hyperon–nucleon interaction at next-to-leading order in chiral effective field theory

2013 ◽  
Vol 915 ◽  
pp. 24-58 ◽  
Author(s):  
J. Haidenbauer ◽  
S. Petschauer ◽  
N. Kaiser ◽  
U.-G. Meißner ◽  
A. Nogga ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Leading Order ◽  
Nucleon Interaction ◽  
Chiral Effective Field Theory

scholarly journals Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Ning Li ◽  
Serdar Elhatisari ◽  
Evgeny Epelbaum ◽  
Dean Lee ◽  
Bing-Nan Lu ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Proton Scattering ◽  
Leading Order ◽  
Chiral Effective Field Theory

scholarly journals Nuclear currents in chiral effective field theory

2020 ◽  
Vol 56 (9) ◽  
Author(s):  
Hermann Krebs
Keyword(s):  
Field Theory ◽  
Chiral Symmetry ◽  
Effective Field Theory ◽  
Unitary Transformation ◽  
Axial Vector ◽  
Vector Current ◽  
Effective Field ◽  
Axial Vector Current ◽  
Leading Order ◽  
Chiral Effective Field Theory

Abstract In this article, we review the status of the calculation of nuclear currents within chiral effective field theory. After formal discussion of the unitary transformation technique and its application to nuclear currents we give all available expressions for vector, axial-vector currents. Vector and axial-vector currents are discussed up to order Q with leading-order contribution starting at order $$Q^{-3}$$ Q - 3 . Pseudoscalar and scalar currents will be discussed up to order $$Q^0$$ Q 0 with leading-order contribution starting at order $$Q^{-4}$$ Q - 4 . This is a complete set of expressions in next-to-next-to-next-to-leading-order (N$$^3$$ 3 LO) analysis for nuclear scalar, pseudoscalar, vector and axial-vector current operators. Differences between vector and axial-vector currents calculated via transfer-matrix inversion and unitary transformation techniques are discussed. The importance of a consistent regularization is an additional point which is emphasized: lack of a consistent regularization of axial-vector current operators is shown to lead to a violation of the chiral symmetry in the chiral limit at order Q. For this reason a hybrid approach at order Q, discussed in various publications, is non-applicable. To respect the chiral symmetry the same regularization procedure needs to be used in the construction of nuclear forces and current operators. Although full expressions of consistently regularized current operators are not yet available, the isoscalar part of the electromagnetic charge operator up to order Q has a very simple form and can be easily regularized in a consistent way. As an application, we review our recent high accuracy calculation of the deuteron charge form factor with a quantified error estimate.

scholarly journals Chiral effective field theory on the lattice at next-to-leading order

2008 ◽  
Vol 35 (3) ◽  
pp. 343-355 ◽  
Author(s):  
B. Borasoy ◽  
E. Epelbaum ◽  
H. Krebs ◽  
D. Lee ◽  
U. -G. Meißner
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Leading Order ◽  
Chiral Effective Field Theory

NUCLEAR FORCES AND FEW NUCLEON SYSTEMS IN CHIRAL EFFECTIVE FIELD THEORY

2009 ◽  
Vol 24 (11n13) ◽  
pp. 921-930
Author(s):  
HERMANN KREBS
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Chiral Expansion ◽  
Light Nuclei ◽  
Nuclear Forces ◽  
Chiral Effective Field Theory ◽  
Promising Tool ◽  
Many Body Systems

Using chiral effective field theory (EFT) with explicit Δ degrees of freedom we calculated nuclear forces up to next-to-next-to-leading order (N2LO). We find a much improved convergence of the chiral expansion in all peripheral partial waves. We also present a novel lattice EFT method developed for systems with larger number of nucleons. Combining Monte Carlo lattice simulations with EFT allows one to calculate the properties of light nuclei, neutron and nuclear matter. Accurate description of two-nucleon phase-shifts and ground state energy ratio of dilute neutron matter up to corrections of higher orders show that lattice EFT is a promising tool for quantitative studies of low-energy few- and many-body systems.

scholarly journals Electric dipole moments of light nuclei from chiral effective field theory

2011 ◽  
Vol 84 (6) ◽  
Author(s):  
J. de Vries ◽  
R. Higa ◽  
C.-P. Liu ◽  
E. Mereghetti ◽  
I. Stetcu ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Electric Dipole ◽  
Dipole Moments ◽  
Effective Field ◽  
Light Nuclei ◽  
Chiral Effective Field Theory ◽  
Electric Dipole Moments
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