Repository logo
 

Heavy-Light and Doubly-Strange Diquark Spectrum from QCD Laplace Sum-Rules and Diagrammatic Renormalization Methods

Date

2023-09-14

Journal Title

Journal ISSN

Volume Title

Publisher

ORCID

0000-0003-3976-1272

Type

Thesis

Degree Level

Doctoral

Abstract

In addition to the conventional $q\bar{q}$ and $qqq$ bound states of quarks $q$, exotic hadrons, such as the four-quark $q\bar{q}q\bar{q}$ and the five-quark $qqqq\bar{q}$ bound states, can be constructed by assuming colour confinement in strong interactions. In particular, one of the possible internal structure for a four-quark state is the tetraquark $[qq][\bar{q}\bar{q}]$, where diquarks $[qq]$ and antidiquarks $[\bar{q}\bar{q}]$ are bound due to the colour force. In this thesis, heavy-light $[Qq]$, where $Q\in\{c, b\}$ (charm, bottom) and $q\in\{u,d,s\}$ (up, down, strange), and doubly-strange $[ss]$ diquarks are examined using QCD Laplace sum-rules. The diquark two-point correlation function is renormalized using diagrammatic renormalization methods for QCD correlation functions that are developed and compared to the conventional renormalization method. It is shown that the mixing of composite operators induced by the conventional renormalization approach is avoided by the diagrammatic renormalization method. The strange quark condensate parameter $\kappa=\langle\bar{s}s\rangle/\langle\bar{n}n\rangle$, where $n\in\{u,d\}$, is shown to have an important role on the $[Qs]$ and $[Qn]$ diquark mass splitting.

Description

Keywords

diquark, diquark mass splitting, heavy-light diquark, doubly-strange diquark, qcd sum-rules, diagrammatic renormalization

Citation

Degree

Doctor of Philosophy (Ph.D.)

Department

Physics and Engineering Physics

Program

Physics

Part Of

item.page.relation.ispartofseries

DOI

item.page.identifier.pmid

item.page.identifier.pmcid