Higher derivative terms in the π Δ N interaction: Some phenomenological consequences

In this paper, we implement the use of a πN1(1232) vertex interaction containing both first- and second-order derivative terms, as required by renormalization and power-counting considerations. As was previously shown, both interactions present quantization shortcomings but can be used in a pertubat...

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Autores principales: Mariano, Alejandro Edgardo, Badagnani, Daniel Omar, Barbero, César Alberto, Berrueta Martínez, Estefanía
Formato: Articulo
Lenguaje:Inglés
Publicado: 2019
Materias:
Física
Particles & fields
Nuclear physics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/137741
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-137741
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Particles & fields
Nuclear physics
spellingShingle Física
Particles & fields
Nuclear physics
Mariano, Alejandro Edgardo
Badagnani, Daniel Omar
Barbero, César Alberto
Berrueta Martínez, Estefanía
Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
topic_facet Física
Particles & fields
Nuclear physics
description In this paper, we implement the use of a πN1(1232) vertex interaction containing both first- and second-order derivative terms, as required by renormalization and power-counting considerations. As was previously shown, both interactions present quantization shortcomings but can be used in a pertubative calculation. Our results indicate that the usual π derivative plus the spin-3/2 gauge invariant (derivative also in the 1 field) should be included in amplitude calculations, as also all higher derivative interactions respecting chiral invariance. We show that both interactions make essentially the same resonant contribution to the elastic π+ p cross section, so changing the ratio between both coupling constants amounts to a correction of the background. The elastic π+ p cross section up to 300 MeV changes only mildly when that ratio is changed, but the total π− p scattering, which has poor fit within both interactions separately, can be much improved in the same energy range by tuning the ratio between both coupling constants.
format Articulo
Articulo
author Mariano, Alejandro Edgardo
Badagnani, Daniel Omar
Barbero, César Alberto
Berrueta Martínez, Estefanía
author_facet Mariano, Alejandro Edgardo
Badagnani, Daniel Omar
Barbero, César Alberto
Berrueta Martínez, Estefanía
author_sort Mariano, Alejandro Edgardo
title Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_short Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_full Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_fullStr Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_full_unstemmed Higher derivative terms in the π Δ N interaction: Some phenomenological consequences
title_sort higher derivative terms in the π δ n interaction: some phenomenological consequences
publishDate 2019
url http://sedici.unlp.edu.ar/handle/10915/137741
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AT badagnanidanielomar higherderivativetermsinthepdninteractionsomephenomenologicalconsequences
AT barberocesaralberto higherderivativetermsinthepdninteractionsomephenomenologicalconsequences
AT berruetamartinezestefania higherderivativetermsinthepdninteractionsomephenomenologicalconsequences
bdutipo_str Repositorios
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