The nucleon and Delta-resonance masses in relativistic chiral effective-field theory

Vladimir Pascalutsa; Marc Vanderhaeghen

doi:10.1016/j.physletb.2006.03.023

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arXiv · hep-ph/0511261

The nucleon and Delta-resonance masses in relativistic chiral effective-field theory

Vladimir Pascalutsa·Marc Vanderhaeghen

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Abstract

We study the chiral behavior of the nucleon and $Δ$-isobar masses within a manifestly covariant chiral effective-field theory, consistent with the analyticity principle. We compute the $πN$ and $πΔ$ one-loop contributions to the mass and field-renormalization constant, and find that they can be described in terms of universal relativistic loop functions, multiplied by appropriate spin, isospin and coupling constants. We show that these relativistic one-loop corrections, when properly renormalized, obey the chiral power-counting and vanish in the chiral limit. The results including only the $πN$-loop corrections compare favorably with the lattice QCD data for the pion-mass dependence of the nucleon and $Δ$ masses, while inclusion of the $πΔ$ loops tends to spoil this agreement.

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Vladimir Pascalutsa, Marc Vanderhaeghen. 2005-11-22. The nucleon and Delta-resonance masses in relativistic chiral effective-field theory. https://doi.org/10.1016/j.physletb.2006.03.023

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