scholarly journals Pion production in nucleon-nucleon collisions in chiral effective field theory withΔ(1232) degrees of freedom

2013 ◽  
Vol 88 (6) ◽  
Author(s):  
A. A. Filin ◽  
V. Baru ◽  
E. Epelbaum ◽  
H. Krebs ◽  
C. Hanhart ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Pion Production ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
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.

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 Effective field theory calculations of NN → NNπ

2014 ◽  
Vol 23 (04) ◽  
pp. 1430004 ◽  
Author(s):  
Vadim Baru ◽  
Christoph Hanhart ◽  
Fred Myhrer
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Pion Production ◽  
Mass Difference ◽  
Effective Field ◽  
S Wave ◽  
Chiral Effective Field Theory ◽  
Charge Symmetry ◽  
Pion Nucleon ◽  
Scattering Lengths

In this review, we present the recent advances for calculations of the reactions NN → NNπ using chiral effective field theory χEFT. Discussed are the next-to-next-to leading order (N2LO) loop contributions with nucleon and Delta-isobar for near threshold s-wave pion-production. Results of recent experimental pion-production data for energies close to the threshold are analyzed. Several particular applications are discussed: (i) it is shown how the measured charge symmetry (CS) violating pion-production reaction can be used to extract the strong interaction contribution to the proton–neutron mass difference; (ii) the role of NN → NNπ for the extraction of the pion–nucleon scattering lengths from pionic atoms data is illuminated.

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