A holographic bottom-up description of light nuclide spectroscopy and stability

TL;DR

This paper applies holographic bottom-up models, including hardwall, softwall, and Woods-Saxon-inspired potentials, to accurately describe light nuclide spectra and analyze their stability using configurational entropy.

Contribution

It introduces a Woods-Saxon-like holographic model for nuclide spectroscopy and compares its accuracy and stability insights with traditional AdS/QCD models.

Findings

Woods-Saxon model achieves ~1% RMS error in spectra

Softwall model has ~4% RMS error, hardwall ~11%

Configurational entropy correlates with nuclide stability

Abstract

This work explores a holographic proposal to describe light nuclide spectroscopy by considering extensions to the well-known bottom-up AdS/QCD proposals, the hardwall and softwall models. We also propose an alternative description inspired by the Woods-Saxon potential. We find the static dilaton associated with this potential in this Wood-Saxon-like model. We compute the nuclide spectra finding that, despite their pure AdS/QCD origin, hardwall and softwall, as monoparametric models, have good accuracy and precision since the RMS error is near 11 $\%$ and 4 $\%$ respectively. In the case of the Wood-Saxon model, the RMS was around 1 $\%$. We also discuss configurational entropy as a tool to categorize which model is suitable to describe nuclides in terms of stability. We found that configurational entropy resembles a stability line, independent from nuclear spin, for symmetric light nuclides when considering softwall and Wood-Saxon-like models. For the hardwall case, configurational entropy, despite increasing with the constituent number, depends on the nuclear spin. Thus, the Woods-Saxon-like model emerges as the best choice to describe light nuclide spectroscopy in the bottom-up scenario.