Bethe-Salpeter approach for the P-33 elastic pion-nucleon scattering in heavy baryon chiral perturbation theory
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Bethe-Salpeter approach for the P-33 elastic pion-nucleon scattering in heavy baryon chiral perturbation theory

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Bethe-Salpeter approach for the P-33 elastic pion-nucleon scattering in heavy baryon chiral perturbation theory

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dc.contributor.author Nieves Pamplona, Juan Miguel
dc.contributor.author Ruiz Arriola, Enrique
dc.date.accessioned 2014-10-17T10:11:20Z
dc.date.available 2014-10-17T10:11:20Z
dc.date.issued 2001
dc.identifier.uri http://hdl.handle.net/10550/39236
dc.description.abstract Heavy baryon chiral perturbation theory (HBChPT) to leading order provides a kernel to solve the Bethe-Salpeter equation for the P-33 [Delta (1232)-channel] pi -N system, in the infinite nucleon mass limit. Crossed Born terms include, when iterated within the Bethe-Salpeter equation, both all one- and some two-pion intermediate states, hence preserving elastic unitarity below the two-pion production threshold. This suggests searching for a solution with the help of dispersion relations and suitable subtraction constants, when all in-elasticities are explicitly neglected. The solution allows for a successful description of the experimental phase shift from threshold Lip to roots = 1500 MeV in terms of four subtraction constants. Next-to-leading order HBChPT calculations are also used to estimate the unknown subtraction constants which appear in the solution. Large discrepancies are encountered which can be traced to the slow convergence rate of HBChPT.
dc.language.iso eng
dc.relation.ispartof Physical Review D, 2001, vol. 63, num. 7, p. 076001
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Nieves Pamplona, Juan Miguel Ruiz Arriola, Enrique 2001 Bethe-Salpeter approach for the P-33 elastic pion-nucleon scattering in heavy baryon chiral perturbation theory Physical Review D 63 7 076001
dc.subject Física
dc.title Bethe-Salpeter approach for the P-33 elastic pion-nucleon scattering in heavy baryon chiral perturbation theory
dc.type info:eu-repo/semantics/article
dc.date.updated 2014-10-17T10:11:20Z
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevD.63.076001
dc.identifier.idgrec 068602

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