A T(T)over-bar-like deformation of the Skyrme model and the Heisenberg model of nucleon-nucleon scattering

Autor(es)

Nastase, Horatiu ^[1] ; Sonnenschein, Jacob ^[2]

Afiliação do(s) autor(es)

^[1] UNESP Univ Estadual Paulista, Inst Fis Teor, R Dr Bento T Ferraz 271, Bl 2, BR-01140070 Sao Paulo, SP - Brazil

^[2] Tel Aviv Univ, Sch Phys & Astron, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Ramat Aviv - Israel

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; n. 5 MAY 4 2021.
• Citações Web of Science: 0

Resumo

The Skyrme model, though it admits correctly a wide range of static properties of the nucleon, does not seem to reproduce properly the scattering behavior of nucleons at high energies. In this paper we present a T (T) over bar -like deformation of it, inspired by a 1+1 dimensional model, in which boosted nucleons behave like shock waves. The scattering of the latter saturates the Froissart bound. We start by showing that 1+1 dimensional T (T) over bar deformations of the free abelian pion action are in fact generalizations of the old Heisenberg model for nucleon-nucleon scattering, yielding the same saturation of the Froissart bound. We then deform the strong coupling limit of the bosonized action of multi-flavor QCD in two dimensions using the T (T) over bar deformation of the WZW action with a mass term. We derive the classical soliton solution that corresponds to the nucleon, determine its mass and discuss its transformation into a shock-wave upon boosting. We uplift this action into a 3+1 dimensional T (T) over bar -like deformation of the Skyrme action. We compare this deformed action to that of chiral perturbation theory. A possible holographic gravity dual interpretation is explored. (AU)

• Processo FAPESP: 19/21281-4 - Dualidade gravitação / Teoria de gauge
• Beneficiário: Horatiu Stefan Nastase
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/13231-7 - Rede Chile - São Paulo de holografia
• Beneficiário: Horatiu Stefan Nastase
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais