Nuclear forces: basic ideas of chiral perturbation theory and meson exchange models

2007 ◽  
Author(s):  
Walter Glöckle ◽  
Andrzej Kupsc ◽  
Paweł Moskal ◽  
Magnus Wolke
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Meson Exchange ◽  
Nuclear Forces ◽  
Chiral Perturbation ◽  
Basic Ideas

scholarly journals CHIRAL PERTURBATION THEORY WITH NUCLEONS

1992 ◽  
Vol 01 (03) ◽  
pp. 561-601 ◽  
Author(s):  
Ulf-G. Meißner
Keyword(s):  
Perturbation Theory ◽  
Chiral Symmetry ◽  
Chiral Perturbation Theory ◽  
Chiral Limit ◽  
Nuclear Forces ◽  
Chiral Perturbation ◽  
Chiral Structure ◽  
Quark Masses ◽  
Alternative Approach ◽  
Working Out

I review the constraints posed on the interactions of pions, nucleons and photons by the spontaneously broken chiral symmetry of QCD. The framework to perform these calculations, chiral perturbation theory, is briefly discussed in the meson sector. The method is a simultaneous expansion of the Greens functions in powers of external momenta and quark masses around the massless case, the chiral limit. To perform this expansion, use is made of a phenomenological Lagrangian which encodes the Ward–identities and pertinent symmetries of QCD. The concept of chiral power counting is introduced. The main part of the lectures consists in describing how to include baryons (nucleons) and how the chiral structure is modified by the fact that the nucleon mass in the chiral limit does not vanish. Particular emphasis is put on working out applications to show the strengths and limitations of the method. Some processes which are discussed are threshold photopion production, low-energy Compton scattering off nucleons, πN scattering and the σ–term. The implications of the broken chiral symmetry on the nuclear forces are briefly described. An alternative approach, in which the baryons are treated as very heavy fields, is touched upon.

TWO-PION PRODUCTION IN THE PION-NUCLEON REACTION

2005 ◽  
Vol 20 (02n03) ◽  
pp. 590-592
Author(s):  
S. KREWALD ◽  
S. SCHNEIDER ◽  
U.-G. MEIßNER
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Pion Production ◽  
Exchange Model ◽  
Meson Exchange ◽  
Threshold Region ◽  
Chiral Perturbation ◽  
Particle Level ◽  
Pion Nucleon

Two-pion production in the pion-nucleon reaction is studied in a meson-exchange model with resonances. The model matches with chiral perturbation theory in the threshold region and includes unitarization effects at the two-particle level. Results are compared with the recent BNL data.

scholarly journals PRESENT STATUS OF CHIRAL PERTURBATION THEORY

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1613-1618 ◽  
Author(s):  
A. PICH
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Present Status ◽  
Resonance Region ◽  
Low Energy ◽  
Chiral Perturbation ◽  
Effective Lagrangian ◽  
Large N ◽  
Basic Ideas

The basic ideas and methods of chiral perturbation theory are briefly reviewed. I discuss the recent attempts to build an effective Lagrangian in the resonance region and summarize the known large–NC constraints on the low-energy chiral couplings.

scholarly journals Nucleon-mass difference in chiral perturbation theory and nuclear forces

2004 ◽  
Vol 70 (4) ◽  
Author(s):  
J. L. Friar ◽  
U. van Kolck ◽  
M. C. M. Rentmeester ◽  
R. G. E. Timmermans
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Mass Difference ◽  
Nucleon Mass ◽  
Nuclear Forces ◽  
Chiral Perturbation

scholarly journals The axion-baryon coupling in SU(3) heavy baryon chiral perturbation theory

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Thomas Vonk ◽  
Feng-Kun Guo ◽  
Ulf-G. Meißner
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Heavy Baryon ◽  
Power Counting ◽  
Flavor Symmetry ◽  
Chiral Perturbation ◽  
Third Order ◽  
Stellar Objects ◽  
The Past ◽  
Dense Nuclear Matter

Abstract In the past, the axion-nucleon coupling has been calculated in the framework of SU(2) heavy baryon chiral perturbation theory up to third order in the chiral power counting. Here, we extend these earlier studies to the case of heavy baryon chiral perturbation theory with SU(3) flavor symmetry and derive the axion coupling to the full SU(3) baryon octet, showing that the axion also significantly couples to hyperons. As studies on dense nuclear matter suggest the possible existence of hyperons in stellar objects such as neutron stars, our results should have phenomenological implications related to the so-called axion window.

Light front Hamiltonian for boson form of QED (1 + 1) in Pauli–Villars regularization

2019 ◽  
Vol 34 (21) ◽  
pp. 1950113
Author(s):  
V. A. Franke ◽  
M. Yu. Malyshev ◽  
S. A. Paston ◽  
E. V. Prokhvatilov ◽  
M. I. Vyazovsky
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Condensate ◽  
Light Front ◽  
Coupling Constants ◽  
Hamiltonian Approach ◽  
Chiral Perturbation ◽  
Dimensional Models ◽  
Villars Regularization ◽  
Ultraviolet Regularization

Light front (LF) Hamiltonian for QED in [Formula: see text] dimensions is constructed using the boson form of this model with additional Pauli–Villars-type ultraviolet regularization. Perturbation theory, generated by this LF Hamiltonian, is proved to be equivalent to usual covariant chiral perturbation theory. The obtained LF Hamiltonian depends explicitly on chiral condensate parameters which enter in a form of some renormalization of coupling constants. The obtained results can be useful when one attempts to apply LF Hamiltonian approach for [Formula: see text]-dimensional models like QCD.

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