The Dilatonic Dynamics of Baryonic Crystals, Branes and Spheres

TL;DR

This paper explores how dilatonic dynamics influence the properties and configurations of baryonic structures like Skyrmions, crystals, and branes, revealing new solvable models and charge distribution effects.

Contribution

It introduces a systematic analysis of dilaton effects on baryonic matter, identifying special parameter values and new configurations, including charge separation and smoothing effects.

Findings

Dilatonic parameters significantly affect Skyrmion mass and radius.

Special decay constant ratios simplify equations to first order systems.

Dilaton presence causes spatial separation of baryon and isospin charges.

Abstract

We systematically analyze the impact of dilatonic dynamics on Skyrme spheres, crystals and branes. The effects of the dilatonic model parameters, encompassing different underlying near-conformal dynamics, on the macroscopic properties of Skyrmions such as their mass and radius, are discussed. For spheres and crystals we identify special values of the ratio of the decay constants for which the second order differential equations reduce to a solvable first order system. Additionally, in the case of the crystals, the dilaton presence spatially separates the baryon and isospin charge distributions. For branes, we show how the dilaton smooths out their configurations. Our results are expected to have wide implications from the study of near-conformal dynamics stemming from QCD-like theories to phenomenological investigations of nuclear matter in extreme regimes.