dc.contributor.advisor | Ryan, Sinead | en |
dc.contributor.author | Gayer, Luke Richard | en |
dc.date.accessioned | 2024-01-29T13:08:33Z | |
dc.date.available | 2024-01-29T13:08:33Z | |
dc.date.issued | 2024 | en |
dc.date.submitted | 2024 | en |
dc.identifier.citation | Gayer, Luke Richard, Heavy Hadron Spectroscopy from Lattice QCD, Trinity College Dublin, School of Mathematics, Pure & Applied Mathematics, 2024 | en |
dc.identifier.other | Y | en |
dc.identifier.uri | http://hdl.handle.net/2262/104792 | |
dc.description | APPROVED | en |
dc.description.abstract | In this thesis, heavy hadron spectroscopy was studied through the formalism of lattice quantum chromodynamics. A summary of relevant theory is provided, followed by an overview of the current state-of-the-art spectroscopy methods that were employed in this work. Finite volume spectra were computed using the variational method with distillation. The finite-volume spectra computed were used to constrain infinite-volume scattering amplitudes using L?scher?s method. The scattering amplitude of the isospin-1/2 D-pi S-wave was computed. By analytically continuing this amplitude to complex energies, a resonance pole was found. This pole was identified as the D_0^? meson. Extrapolating to physical pion mass suggests that the current reported experimental mass
of the D_0^? is too high.
Also covered in this thesis is a calculation of the excited and exotic spectra of the B, B_s and B_c mesons. The presence of hybrid mesons was investigated, with candidate states for a hybrid supermultiplet proposed in each meson sector. The mixing of states occurring due to symmetry breaking on the lattice was also studied. The B and B_s mesons were found to be strongly mixed, while the mixing in B_c was much weaker. The analysis of the B meson was extended further, with an exploratory study of isospin-3/2 B-pi scattering performed. The scattering amplitude for the S-wave was computed, and was found to be the form of a weakly repulsive interaction. This thesis concludes with an overview of its findings. | en |
dc.publisher | Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics | en |
dc.rights | Y | en |
dc.subject | Lattice QCD | en |
dc.subject | Hadron Spectroscopy | en |
dc.subject | heavy-light mesons | en |
dc.subject | Scattering | en |
dc.title | Heavy Hadron Spectroscopy from Lattice QCD | en |
dc.type | Thesis | en |
dc.type.supercollection | thesis_dissertations | en |
dc.type.supercollection | refereed_publications | en |
dc.type.qualificationlevel | Doctoral | en |
dc.identifier.peoplefinderurl | https://tcdlocalportal.tcd.ie/pls/EnterApex/f?p=800:71:0::::P71_USERNAME:LGAYER | en |
dc.identifier.rssinternalid | 261684 | en |
dc.rights.ecaccessrights | openAccess | |
dc.contributor.sponsor | Irish Research Council (IRC) | en |