Chiral Perturbation Theory

Bernard, Véronique; Meißner, Ulf‐G.

doi:10.1146/annurev.nucl.56.080805.140449

Cited by 145 publications

(159 citation statements)

References 142 publications

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“…There have been many studies of the pion photoproduction data near threshold in the past few decades [1][2][3][4][5][6][7][8][9], which were in good agreement with the data existing at the time [10,11]. While ChPT models very well describe the charged channels of pion photoproduction even at tree level, this is not the case for the neutral channels, where the inclusion of higher orders and loop diagrams leads to important contributions.…”

Section: Introductionsupporting

confidence: 69%

Threshold Neutral Pion Photoproduction on the Proton

Blin

Vacas

Ledwig

2016

Proceedings of the 10th International Workshop on the Physics of Excited Nucleons (NSTAR2015)

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The neutral pion photoproduction on the proton near threshold has a very small scattering cross section when compared to the charged channels, which in ChPT is explained by strong cancellations between the lowest order pieces. Therefore it is very sensitive to higher-order corrections of chiral perturbation theory. We perform a fully covariant calculation up to chiral order p 3 and we investigate the effect of the inclusion of the ∆(1232) resonance as an explicit degree of freedom. We show that the convergence improves, leading to a much better agreement with data at a wide range of energies.

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Section: Introductionsupporting

confidence: 69%

Threshold Neutral Pion Photoproduction on the Proton

Blin

Vacas

Ledwig

2016

Proceedings of the 10th International Workshop on the Physics of Excited Nucleons (NSTAR2015)

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“…Fortunately there are recent articles in this journal to provide much of the background for the interested reader; these include an introduction to effective field theory by Burgess [2], an overview of chiral perturbation theory by Bernard and Meißner [3], and a review of EFT for few-nucleon systems by Bedaque and van Kolck [4] (see also refs. [5,6]).…”

Section: Introductionmentioning

confidence: 99%

Effective Field Theory and Finite-Density Systems

Furnstahl

Rupak

Schäfer

2008

Annu. Rev. Nucl. Part. Sci.

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“…Refs. [16,17,18]. At leading order (LO) the Lagrangian consists of a single / P pion-nucleon interaction with coupling constant h π [19] which induces, in combination with the standard pseudovector P -even pion-nucleon interaction, the LO / P NN potential.…”

Section: Introductionmentioning

confidence: 99%

A study of the parity-odd nucleon-nucleon potential

Vries

Meißner

et al. 2014

Eur. Phys. J. A

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We investigate the parity-violating nucleon-nucleon potential as obtained in chiral effective field theory. By using resonance saturation we compare the chiral potential to the more traditional one-meson exchange potential. In particular, we show how parameters appearing in the different approaches can be compared with each other and demonstrate that analyses of parity violation in proton-proton scattering within the different approaches are in good agreement. In the second part of this work, we extend the parity-violating potential to next-to-next-to-leading order. We show that generally it includes both one-pion-and twopion-exchange corrections, but the former play no significant role. The two-pion-exchange corrections depend on five new low-energy constants which only become important if the leading-order weak pion-nucleon constant h π turns out to be very small.

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Chiral Perturbation Theory

Abstract: We give a brief introduction to chiral perturbation theory in its various settings. We discuss some applications of recent interest including chiral extrapolations for lattice gauge theory.

Cited by 145 publications

References 142 publications

Threshold Neutral Pion Photoproduction on the Proton

Threshold Neutral Pion Photoproduction on the Proton

Effective Field Theory and Finite-Density Systems

A study of the parity-odd nucleon-nucleon potential

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