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Related papers: About consistence between pi N Delta spin-3/2 gaug…

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Interactions of gauge-invariant systems are severely constrained by several consistency requirements. One is the preservation of the number of gauge symmetries, another is causal propagation. For lower-spin fields, the emphasis is usually…

High Energy Physics - Theory · Physics 2013-09-11 Marc Henneaux , Rakibur Rahman

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 perform the Dirac quantization of RS fields interacting with a spinor and the first derivative of a pseudoscalar field. We achieve the calculations for two forms of this interaction: first we review the conventional coupling of lowest…

Nuclear Theory · Physics 2016-10-31 D. Badagnani , A. Mariano , C. Barbero

The unique off-shell fermionic gauge invariance of a vector-spinor field theory is found, and the invariant action is derived. The latter is Weyl invariant in any dimension in the massless limit, and it coincides with the singular point of…

High Energy Physics - Theory · Physics 2026-04-22 Dario Sauro

We analyze the constraint structure of a spin-3/2 particle interacting with a pseudoscalar. Requiring the self consistency of the considered effective field theory imposes restrictions on the possible interaction terms. In the present case…

High Energy Physics - Phenomenology · Physics 2009-11-11 N. Wies , J. Gegelia , S. Scherer

Electromagnetic interactions of the spin 3/2 particle are investigated while allowing the propagation of the transverse spin 1/2 component present in the reducible Rarita-Schwinger vector-spinor. This is done by allowing a more general form…

High Energy Physics - Theory · Physics 2011-11-23 Konstantin G. Savvidy

We construct interactions of nucleons N with higher-spin resonances R invariant under point and gauge transformations of the Rarita-Schwinger field. It is found for arbitrarily high spin of a resonance that the requirement of point- and…

High Energy Physics - Phenomenology · Physics 2013-03-21 G. Vereshkov , N. Volchanskiy

Using the difference between the gauge symmetric and standard pi-N-delta couplings, a contact pi-pi-N-N term, quadratic in the pi-N-delta coupling, is explicitly constructed. Besides, a contribution from the delta excitation mechanism to…

Nuclear Theory · Physics 2009-11-10 J. Smejkal , E. Truhlik

Lagrangian of a massive particle with spin 3/2 is considered in the Rarita-Schwinger formalism. We discuss implications of the contact- and the gauge-transformation on the physical content of free and interacting theories. It is shown that…

High Energy Physics - Phenomenology · Physics 2016-09-01 V. Pascalutsa

We propose the use of pure spin-3/2 propagator in the $(3/2,0) \oplus (0,3/2)$ representation in particle and nuclear physics. To formulate the propagator in a covariant form we use the antisymmetric tensor spinor representation and we…

Nuclear Theory · Physics 2017-11-13 J. Kristiano , S. Clymton , T. Mart

The spin asymmetry of the photon in the exclusive A(gamma,pi N)A-1 reaction is computed employing a recently developed fully relativistic model based on elementary pion production amplitudes that include a consistent treatment of the…

Nuclear Theory · Physics 2008-11-26 C. Fernandez-Ramirez , M. C. Martinez , J. R. Vignote , J. M. Udias

We discuss the chiral behavior of nucleon and Delta(1232) electromagnetic properties within the framework of a SU(2) covariant baryon chiral perturbation theory. Our one-loop calculation is complete to the order p^3 and p^4/Delta with Delta…

High Energy Physics - Phenomenology · Physics 2015-05-28 T. Ledwig , J. Martin-Camalich , V. Pascalutsa , M. Vanderhaeghen

Quantization of the free and interacting Rarita-Schwinger field is considered using the Hamiltonian path-integral formulation. The particular interaction we study in detail is the $\pi N \De$ coupling used in the phenomenology of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Pascalutsa

Consistent interactions with electromagnetism and gravity for mass $m$ particles of any spin are obtained. This is done by finding interactions which preserve the covariantized massive gauge symmetry present in recently constructed massive…

High Energy Physics - Theory · Physics 2024-08-12 Lukas W. Lindwasser

Radiative transitions gamma + Delta(1232) -> N^* are discussed in the nonrelativistic quark model with spin-orbit corrections for the 70-plet L^P=1^- nucleon resonances N^*. The reaction gamma + N -> gamma + Delta is considered as a tool to…

Nuclear Theory · Physics 2017-08-23 A. I. L'vov

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 prove that any bilinear coupling of a massive spin-3/2 field can be brought into a gauge invariant form suggested by Pascalutsa by means of a non-linear field redefinition. The corresponding field transformation is given explicitly in a…

High Energy Physics - Theory · Physics 2009-08-26 H. Krebs , E. Epelbaum , U. -G. Meißner

Recent developments in calculations of low energy nucleon properties utilizing effective chiral field theories with explicit spin 3/2 matter fields are presented. In particular, the role of Delta resonances in microscopic calculations of…

Nuclear Theory · Physics 2017-08-23 Thomas R. Hemmert

In this paper we implement for the first time the use of a {\pi}N{\Delta}(1232) vertex interaction containing both first and second order derivative terms, as required by renormalization considerations. As as was previously shown both…

High Energy Physics - Phenomenology · Physics 2019-08-07 Alejandro Mariano , Daniel Badagnani , Cesar Barbero

We prove factorization and gauge invariance of the twist-3 single-spin-dependent cross section in the leading order perturbative QCD, which was missing in the previous literature. We emphasize that the consistency relation from the Ward…

High Energy Physics - Phenomenology · Physics 2007-06-19 Yuji Koike , Kazuhiro Tanaka
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