A nucleon description based on confinement and a dynamic generation of the quark masses

J.C. Caillon (1)

1 CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan

We have considered the nucleon as an MIT bag, but instead of a perturbative vacuum, we use a QCD vacuum modified as compared to the outside space and hence a modified quark-condensate. Quarks acquire their constituent-masses through their interactions with this modified QCD vacuum in a framework of an NJL model. The value of the quark condensate modified in the nucleon is then determined self-consistently by the equilibrium condition for the bag: the outward pressure due to both the motion of three quarks and the modified vacuum in the nucleon must be counterbalanced by the inward pressure of the vacuum outside the bag. We are able to pass continuously from a nucleon description in a pure MIT bag model to a description using constituent quark masses determined in an NJL model.

Mots clés: Nambu–Jona-Lasinio model; Dynamic generation of the quark masses; MIT bag; Pion–nucleon sigma term

Domaines: Physique Nucléaire Théorique [nucl-th]

J.C. Caillon. A nucleon description based on confinement and a dynamic generation of the quark masses. Nuclear Physics A, 2010, 837, pp.15-25. ⟨10.1016/j.nuclphysa.2010.02.012⟩. ⟨in2p3-00488218⟩