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Related papers: Systematic 1/M Expansion for Spin 3/2 Particles

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We present the results of a third order calculation of the pion-nucleon scattering amplitude in a chiral effective field theory with pions, nucleons and delta resonances as explicit degrees of freedom. We work in a manifestly Lorentz…

High Energy Physics - Phenomenology · Physics 2016-05-25 De-Liang Yao , D. Siemens , V. Bernard , E. Epelbaum , A. M. Gasparyan , J. Gegelia , H. Krebs , Ulf-G. Meißner

We present an effective field theory of the $\Delta$-resonance as an interacting Weinberg's $(3/2,0)\oplus (0,3/2)$ field in the multi-spinor formalism. We derive its interactions with nucleons $N$, pions $\pi$ and photons $\gamma$, and…

High Energy Physics - Phenomenology · Physics 2021-06-18 Juan Carlos Criado , Abdelhak Djouadi , Niko Koivunen , Kristjan Müürsepp , Martti Raidal , Hardi Veermäe

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…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gómez Nicola , J. Nieves , J. R. Peláez , E. Ruiz Arriola

We analyze the low-energy spin structure of the nucleon in a covariant effective field theory with explicit spin-3/2 degrees of freedom to third order in the small scale expansion. Using the available data on the strong and electromagnetic…

High Energy Physics - Phenomenology · Physics 2015-06-11 V. Bernard , E. Epelbaum , H. Krebs , U. -G. Meißner

We study the low energy expansion of the nucleon's electroweak form factors in the framework of an effective chiral Lagrangian including pions, nucleons and the $Delta (1232)$. We work to third order in the so-called small scale expansion…

High Energy Physics - Phenomenology · Physics 2009-10-31 Véronique Bernard , Harold W. Fearing , Thomas R. Hemmert , Ulf-G. Meißner

In the absence of nucleons, we use partial wave unitarity, to show that the chiral expansion parameter must be close to $p^2/4\pi f_{\pi}^2$ rather than $p^2/16\pi^2 f_{\pi}^2$ as previously suggested, where $p$ is a typical pion momentum…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hidenaga Yamagishi , Ismail Zahed

In bound systems whose constituent particles are heavier than the electron, the dominant radiative correction to energy levels is given by light-fermion (electronic) vacuum polarization. In consequence, relativistic and recoil corrections…

High Energy Physics - Phenomenology · Physics 2026-04-07 G. S. Adkins , U. D. Jentschura

We calculate in baryon chiral perturbation theory the relativistic $1/M^2$-corrections to the leading order two-pion exchange diagrams. We give explicit expressions for the corresponding one-loop NN-amplitudes in momentum space. The…

Nuclear Theory · Physics 2009-11-07 N. Kaiser

We study the reaction of pion photoproduction on the nucleon in the framework of chiral perturbation theory with explicit $\Delta(1232)$ degrees of freedom. In the covariant approach, we give results up to order $\epsilon^3$ in the small…

Nuclear Theory · Physics 2021-08-04 N. Rijneveen , A. M. Gasparyan , H. Krebs , E. Epelbaum

We investigate near threshold neutral pion photoproduction off protons to fourth order in heavy baryon chiral perturbation theory in the light of the new data from MAMI. We show that the unitarity cusp at the secondary \pi^+ n threshold is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Véronique Bernard , Norbert Kaiser , Ulf-G. Meißner

In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of physical interest. Where possible, we…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Walker-Loud

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also…

Nuclear Theory · Physics 2009-10-28 G. Carter , P. J. Ellis , S. Rudaz

In earlier publications we have analyzed the strong and radiative decays of heavy hadrons in a formalism which incorporates both heavy-quark and chiral symmetries. In particular, we have derived a heavy-hadron chiral Lagrangian whose…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Y. Cheng , C. Y. Cheung , G. L. Lin , Y. C. Lin , T. M. Yan , H. L. Yu

The renormalized pion-nucleon Lagrangian is calculated to O(p^3) in heavy baryon chiral perturbation theory. By suitably chosen transformations of the nucleon field, the Lagrangian is brought to a standard form.

High Energy Physics - Phenomenology · Physics 2009-10-28 Gerhard Ecker , Martin Mojzis

We construct an effective Lagrangian of heavy and light mesons with $1/M_Q$ correction. The Lagrangian is constructed model independent way by using only the information of the symmetry of QCD. Reparameterisation invariance at the meson…

High Energy Physics - Phenomenology · Physics 2009-10-22 N. Kitazawa , T. Kurimoto

We extend the standard second order effective chiral Lagrangian of pions and nucleons by considering the coupling to an external gravitational field. As an application we calculate one-loop corrections to the one-nucleon matrix element of…

High Energy Physics - Phenomenology · Physics 2020-11-04 H. Alharazin , D. Djukanovic , J. Gegelia , M. V. Polyakov

We investigate the hyperfine splitting of the heavy baryons in the bound-state approach. We start with an ordinary relativistic Lagrangian which has been extensively used to discuss finite mass corrections to the heavy limit predictions. It…

High Energy Physics - Phenomenology · Physics 2009-10-28 Masayasu Harada , Asif Qamar , Francesco Sannino , Joseph Schechter , Herbert Weigel

Standard SU(2) Heavy Baryon Chiral Perturbation Theory is extended in order to include the case of small or even vanishing quark condensate. The effective lagrangian is given to ${\cal O}(p^2)$ in its most general form and to ${\cal…

High Energy Physics - Phenomenology · Physics 2011-09-13 Robert Baur , Joachim Kambor

The elastic and radiative pion(+)-proton scattering are studied in the framework of an effective Lagrangian model for the Delta^{++} resonance and its interactions. The finite width effects of this spin-3/2 resonance are introduced in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Lopez Castro , A. Mariano

We investigate threshold pion photoproduction in the framework of heavy baryon chiral perturbation theory. We give the expansion of the electric dipole amplitude $E_{0+}$ to three orders in $\mu$, the ratio of the pion to nucleon mass, and…

High Energy Physics - Phenomenology · Physics 2009-09-25 V. Bernard , N. Kaiser , Ulf-G. Meißner