Nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data

The chiral behavior of the nucleon mass is studied within the covariant SU(2) baryon chiral perturbation theory up to order p super(4). Lattice QCD data for the ensembles of 2 and 2 + 1 flavors are separately fitted, paying special attention to explicit Delta (1232) degrees of freedom, finite volume...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:EPJ Web of conferences 2014-01, Vol.73, p.4015-1-04015-4
Hauptverfasser: Alvarez-Ruso, L., Ledwig, T., Camalich, J. Martin, Vacas, M.J. Vicente
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The chiral behavior of the nucleon mass is studied within the covariant SU(2) baryon chiral perturbation theory up to order p super(4). Lattice QCD data for the ensembles of 2 and 2 + 1 flavors are separately fitted, paying special attention to explicit Delta (1232) degrees of freedom, finite volume corrections and finite spacing effects. In the case of the 2 flavor ensemble, we fit simultaneously nucleon mass data together with new and updated data for the [sigma] sub([pi])N term both in their dimensionless forms and determine a Sommer-scale of r sub(0) = 0.493(23) fm. We obtain low-energy constants of natural size that are compatible with the rather linear pion-mass dependence observed in lattice QCD and report a preliminary updated value of [sigma] sub([pi])N = 43(5)(4) MeV for the 2 flavor case and [sigma] sub([pi])N = 52(3)(8) MeV for 2 + 1 flavor case.
ISSN:2100-014X
2100-014X
DOI:10.1051/epjconf/20147304015