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Baryon chiral perturbation theory as conventionally applied using dimensional regularization has a well-known problem with the convergence of the SU(3) chiral expansion. One can reformulate the theory equally rigorously using a…

高能物理 - 唯象学 · 物理学 2007-05-23 John F. Donoghue , Barry R. Holstein

We study baryon-baryon scattering by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. We derive the corresponding diagrammatic rules paying special…

核理论 · 物理学 2019-10-23 V. Baru , E. Epelbaum , J. Gegelia , X. -L. Ren

We consider an extension of the one-nucleon sector of baryon chiral perturbation theory beyond the low-energy region. The applicability of this approach for higher energies is restricted to small scattering angles, i.e. the kinematical…

高能物理 - 唯象学 · 物理学 2015-10-09 E. Epelbaum , J. Gegelia , Ulf-G. Meißner , De-Liang Yao

We consider the nucleon-nucleon scattering problem by applying time-ordered perturbation theory to the Lorentz invariant formulation of baryon chiral perturbation theory. Using a symmetry preserving higher derivative form of the effective…

核理论 · 物理学 2016-11-03 J. Behrendt , E. Epelbaum , J. Gegelia , Ulf-G. Meißner , A. Nogga

We formulate the infrared regularization of Becher and Leutwyler in a form analogous to our recently proposed extended on-mass-shell renormalization. In our formulation, IR regularization can be applied straightforwardly to multi-loop…

高能物理 - 唯象学 · 物理学 2014-11-17 M. R. Schindler , J. Gegelia , S. Scherer

We calculate the lambda-nucleon scattering phase shifts and mixing angles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. Scattering amplitudes are…

核理论 · 物理学 2020-03-18 X. -L. Ren , E. Epelbaum , J. Gegelia

Integral equations for meson-baryon scattering amplitudes are obtained by utilizing time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of baryon chiral perturbation theory. Effective potentials are defined as…

高能物理 - 唯象学 · 物理学 2020-05-18 X. -L. Ren , E. Epelbaum , J. Gegelia , Ulf-G. Meißner

We consider a new approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Starting with a Lorentz-invariant form of the effective Lagrangian we work out…

核理论 · 物理学 2008-11-26 D. Djukanovic , J. Gegelia , S. Scherer , M. R. Schindler

We provide a short introduction to the one-nucleon sector of chiral perturbation theory and address the issue of power counting and renormalization. We discuss the infrared regularization and the extended on-mass-shell scheme. Both allow…

高能物理 - 唯象学 · 物理学 2015-06-03 Stefan Scherer

We perform the complete regularization of all Green functions with a single incoming and outgoing baryon to order q^3 in the low energy expansion for the SU(3) meson-baryon system in chiral perturbation theory. The divergences can be…

高能物理 - 唯象学 · 物理学 2007-05-23 Guido Müller

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant framework of Infrared Regularization up to {\cal O}(q^3) in the chiral expansion, where q is a generic small momentum. We describe the low-energy phase…

核理论 · 物理学 2011-06-06 J. M. Alarcon , J. Martin Camalich , J. A. Oller , L. Alvarez-Ruso

Reordering of the chiral perturbation series, proposed recently by Becher and Leutwyler in the framework of SU(2) baryonic ChPT, is applied to the SU(3) case. This results in improved convergence of the chiral expansion of static properties…

高能物理 - 唯象学 · 物理学 2009-10-31 Martin Mojzis , Joachim Kambor

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized…

高能物理 - 唯象学 · 物理学 2008-11-26 T. Fuchs , J. Gegelia , G. Japaridze , S. Scherer

We propose a new, renormalizable approach to nucleon-nucleon scattering in chiral effective field theory based on the manifestly Lorentz invariant form of the effective Lagrangian without employing the heavy-baryon expansion. For the…

核理论 · 物理学 2015-06-05 E. Epelbaum , J. Gegelia

Manifestly Lorentz-invariant baryon chiral perturbation theory is used to calculate the radiative correction of low energy elastic lepton proton scatterings. Corrections of differential cross section and charge asymmetry are given at chiral…

高能物理 - 唯象学 · 物理学 2022-05-16 Xiong-Hui Cao , Qu-Zhi Li , Han-Qing Zheng

We generalize chiral perturbation theory with spinless matter fields in the fundamental representation of ${\rm SU}(N)$ to curved spacetime in the presence of an external gravitational field. This work is motivated by recent interest in…

高能物理 - 唯象学 · 物理学 2026-03-24 Cheng-Cheng Li , Xiong-Hui Cao , Feng-Kun Guo

We show how the unitarized description of pion nucleon scattering within Heavy Baryon Chiral Perturbation Theory can be considerably improved, by a suitable reordering of the expansion over the nucleon mass. Within this framework, the…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Gómez Nicola , J. Nieves , J. R. Peláez , E. Ruiz Arriola

Baryon chiral perturbation theory (BChPT), as an effective field theory of low-energy quantum chromodynamics (QCD), has played and is still playing an important role in our understanding of non-perturbative strong interaction phenomena. In…

核理论 · 物理学 2013-06-11 Lisheng Geng

Chiral perturbation theory and its unitarized versions have played an important role in our understanding of the low-energy strong interaction. Yet, so far, such studies typically deal exclusively with perturbative or nonperturbative…

高能物理 - 唯象学 · 物理学 2023-03-01 Jun-Xu Lu , Li-Sheng Geng , Michael Doering , Maxim Mai

We construct the complete effective chiral pion-nucleon Lagrangian to third order in small momenta based on relativistic chiral perturbation theory. We then perform the so-called heavy baryon limit and construct all terms…

高能物理 - 唯象学 · 物理学 2009-10-31 Nadia Fettes , Ulf-G. Meißner , Sven Steininger
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