Neutron-proton mass difference from gauge/gravity duality

作者:Bigazzi Francesco*; Niro Pierluigi
来源:PHYSICAL REVIEW D, 2018, 98(4): 046004.
DOI:10.1103/PhysRevD.98.046004

摘要

Using gauge/gravity duality as a tool, we compute the strong sector, isospin-breaking induced contribution to the neutron-proton mass difference in the Witten-Sakai-Sugimoto model of large N QCD with two nondegenerate light flavors. The mass difference, for which we provide an analytic expression, turns out to be positive and proportional to the down-up quark mass splitting, consistently with expectations and previous estimates based on effective QCD models. Extrapolating the model parameters to fit QCD hadronic observables, we find that the strong sector contribution to the nucleon mass splitting overcomes the electromagnetic contribution and is about 0.25% of the average nucleon mass in the model, a result which approaches recent lattice QCD estimates. Our formula is extended to resonances and Delta baryons. We thus use it to compute the strong sector contribution to Delta baryons mass differences. Finally, we also provide details of how isospin breaking affects the holographic instanton solution describing the baryons.

  • 出版日期2018-8-8