q-Gamow States for intermediate energies

TL;DR

This paper introduces a new set of q-Gamow states suitable for intermediate energy experiments, providing a framework to observe q-Breit-Wigner distributions where accelerators are accessible, bridging theoretical predictions with experimental feasibility.

Contribution

It develops a novel set of q-Gamow states applicable at intermediate energies, enabling experimental detection of q-Breit-Wigner distributions in current accelerator facilities.

Findings

Prediction of q-Breit-Wigner distribution at intermediate energies

Framework for experimental detection of q-Gamow states

Extension of previous high-energy results to accessible energy ranges

Abstract

In a recent paper [Nuc. Phys. A {\bf 948}, (2016) 19] we have demonstrated the possible existence of Tsallis' q-Gamow states. Now, accelerators' experimental evidence for Tsallis' distributions has been ascertained only at very high energies. Here, instead, we develop a different set of q-Gamow states for which the associated q-Breit-Wigner distribution could easily be found at intermediate energies, for which accelerators are available at many locations. In this context, it should be strongly emphasized [Physica A {\bf 388} (2009) 601] that, empirically, one never exactly and unambiguously "detects" pure Gaussians, but rather q-Gaussians. A prediction is made via Eq.(3.30)