Efimov Universality in Exotic Strange and Charm Nuclei A Low energy Effective Theory Framework

Abstract

The present thesis deals with the investigation of low-energy two- and three-body universality that could manifest in newlineexotic strange and charm nuclei. To supplement the plethora of existing works based on potential models on such newlinesystems, the main objective of this thesis is to employ a model-independent effective field theory (EFT) framework as newlinea modern systematic computational tool for understanding the underlying binding mechanism without reference to newlineinherent (microscopic) short-distance details. In particular, pionless EFT or its variant, so-called the Halo/Cluster newlineEFT, provides a versatile theoretical technique to specifically search for the feasibility of Efimov mechanism in halolike newlinenuclear clusters. Here we presented leading order EFT investigations of the putative S-wave bound hypernuclear newlinecluster states, such as the iso-doublet mirror partners (and#581; newline5 newlineand#581;H, and#581; newline5 newlineand#581;He) in the (J=1/2, T=1/2) channel, as well as the and#926;- newlinenn cluster in the (J=1/2, T=3/2) channel, in the strange sector. The mirror clusters are studied as 2and#581; (double-and#581;hyperon) newlinehalo systems with a composite core, identified either as a triton (t) or helion (h). Whereas, the and#926;-nn newlinesystem is studied as a 2n-halo system with a and#926;-hyperon elementary core. Furthermore, in the charm sector, we newlinestudied the putative 2n halo-bound D0nn system in the (J=0, T=3/2) channel invoking an idealized zero-couplinglimit newlineansatz which excludes all effects of decay and coupled channels dynamics. The general EFT formalism involves newlinethe diagrammatic construction of a system of Faddeev-like three-body integral equations embodying the re-scattering newlinedynamics in the momentum-space representation. Using momentum cut-off regulators in the integral equations newlinewhich are significantly larger than the hard scale of the EFTs, the three-body contact interaction becomes cyclically newlinesingular indicating the onset of renormalization group (RG) limit cycles with discrete scale invariance. Thus, our newlineresults formally indicate the manifestly Efimovian nature of each of the cluster systems leading to