scholarly journals Pion production in nucleon-nucleon collisions in chiral effective field theory: Next-to-next-to-leading order contributions

2012 ◽  
Vol 85 (5) ◽  
Author(s):  
A. A. Filin ◽  
V. Baru ◽  
E. Epelbaum ◽  
H. Krebs ◽  
C. Hanhart ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Pion Production ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
Leading Order ◽  
Chiral Effective Field Theory

RENORMALIZATION TOOLS FOR THE NN INTERACTION

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1679-1683 ◽  
Author(s):  
S. SZPIGEL ◽  
V. S. TIMÓTEO ◽  
F. O. DURÃES
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Effective Field Theory ◽  
Kernel Method ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
Leading Order ◽  
Chiral Effective Field Theory ◽  
Similarity Renormalization Group

In this work we apply the similarity renormalization group (SRG) approach to evolve an effective nucleon–nucleon (NN) potential in leading-order (LO) chiral effective field theory (ChEFT). We present the results obtained for a NN potential in the 1S0 channel derived within the framework of the subtracted kernel method (SKM).

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
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