Consistent interactions for high-spin fermion fields

Vrancx, Tom; Cruz, Lesley De; Ryckebusch, Jan; Vancraeyveld, Pieter

doi:10.1103/physrevc.84.045201

Cited by 55 publications

(58 citation statements)

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“…Our formalism makes use of the recently suggested consistent couplings for resonances with J = 3/2 and J = 5/2 [18]. This means that all spurious degrees of freedom due to the lower-spin components are removed from the J ≥ 3/2 propagators.…”

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confidence: 99%

“…In addition, the couplings of all resonances with J ≥ 3/2 can be described by a mere two parameters. A spin-dependent multidipoleGauss hadronic form factor (FF) [18] is employed to regularize the resonance contributions beyond the N * pole ( √ s > M N * ). In order to minimize the number of parameters, we adopt one common cut-off value for the hadronic FF for all N * s.…”

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confidence: 99%

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Bayesian Inference of the Resonance Content ofp(γ,K+)Λ

et al. 2012

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A Bayesian analysis of the world's p(γ, K + )Λ data is presented. From the proposed selection of 11 resonances, we find that the following nucleon resonances have the highest probability of contributing to the reaction: S11(1535), S11(1650), F15(1680), P13(1720), D13(1900), P13(1900), P11(1900), and F15(2000). We adopt a Regge-plus-resonance framework featuring consistent couplings for nucleon resonances up to spin J = 5/2. We evaluate all possible combinations of 11 candidate resonances. The best model is selected from the 2048 model variants by calculating the Bayesian evidence values against the world's p(γ, K + )Λ data.

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confidence: 99%

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Bayesian Inference of the Resonance Content ofp(γ,K+)Λ

et al. 2012

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“…In the consistent theory, the interaction vertices are transverse, which leads to removal of all non physical contributions. This formalism was generalized to arbitrary high spin by the Ghent group [15] and is exploited in this work. The gauge invariance of the interaction leads to a relatively strong momentum dependence of the amplitude, which increases with rising spin of the RS field and regularizes the amplitude.…”

Section: Introduction and Methodologymentioning

confidence: 99%

Kaon photoproduction off proton

Skoupil

Bydžovský

2016

EPJ Web Conf.

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Abstract. We have recently constructed our version of the Regge-plus-resonance (RPR) model and two variants of an isobar model for photoproduction of kaons on the proton, utilizing new experimental data from CLAS, LEPS, and GRAAL collaborations for adjusting free parameters of the models. Higher-spin nucleon (3/2 and 5/2) and hyperon (3/2) resonances were included using the consistent formalism by Pascalutsa and found to play an important role in data description. The set of chosen nucleon resonances in our new isobar models agrees well with the set of the most probable contributing states determined in the Bayesian analysis with the RPR model whilst only 6 out of 10 N * 's selected in the RPR fit of ours overlap with the nucleon resonant states in the Bayesian analysis. Results of two versions of the isobar model are compared to the new version of the RPR model and experimental data in the third-resonance region and their properties are discussed. We place an emphasis on the choice of resonances, the predictions in the forward-and backward-angle region as well as the choice of the hadron form factor.

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“…We choose the following cut-off form factor (53) which multiplies both the s-and u-channel amplitudes [75][76][77]. F (s) is given by a combination of a Gaussian and a dipole form factor [78] …”

Section: A Resonance Cut-off Form Factorsmentioning

confidence: 99%

Electroweak single-pion production off the nucleon: From threshold to high invariant masses

et al. 2017

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Background: Neutrino-induced single-pion production (SPP) provides an important contribution to neutrino-nucleus interactions, ranging from intermediate to high energies. There exists a good number of low-energy models in the literature to describe the neutrinoproduction of pions in the region around the Delta resonance. Those models consider only lowest-order interaction terms and, therefore, fail in the high-energy region (pion-nucleon invariant masses, W 2 GeV).Purpose: Our goal is to develop a model for electroweak SPP off the nucleon, which is applicable to the entire energy range of interest for present and future accelerator-based neutrino-oscillation experiments.Method: We start with the low-energy model of Ref.[1], which includes resonant contributions and background terms derived from the pion-nucleon Lagrangian of chiral-perturbation theory [2]. Then, from the background contributions, we build a high-energy model using a Regge approach. The low-and highenergy models are combined, in a phenomenological way, into a hybrid model. Results:The Hybrid model is identical to the low-energy model in the low-W region, but, for W > 2 GeV, it implements the desired high-energy behavior dictated by Regge theory. We have tested the high-energy model by comparing with one-pion production data from electron and neutrino reactions. The Hybrid model is compared with electron-proton scattering data, with neutrino SPP data and with the predictions of the NuWro Monte Carlo event generator. Conclusions: Our model is able to provide satisfactory predictions of the electroweak one-pion production cross section from pion threshold to high W . Further investigation and more data are needed to better understand the mechanisms playing a role in the electroweak SPP process in the high-W region, in particular, those involving the axial current contributions.

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Consistent interactions for high-spin fermion fields

Cited by 55 publications

References 20 publications

Bayesian Inference of the Resonance Content ofp(γ,K+)Λ

Bayesian Inference of the Resonance Content ofp(γ,K+)Λ

Kaon photoproduction off proton

Electroweak single-pion production off the nucleon: From threshold to high invariant masses

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