E-Thesis 281 views 80 downloads
Meson Masses in the Unquenched Quark Model / JACK KENNELLY
Swansea University Author: JACK KENNELLY
Abstract
A novel approach to calculating coupled-channel effects for bottomonium in the 3P0 framework using realistic wavefunctions is introduced in which the physical state is expanded in a basis set of harmonic oscillators. Other techniques of solving the unquenched system are also presented including pertu...
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Swansea
2022
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Institution: | Swansea University |
Degree level: | Master of Research |
Degree name: | MSc by Research |
Supervisor: | Burns, Timothy |
URI: | https://cronfa.swan.ac.uk/Record/cronfa59927 |
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<?xml version="1.0"?><rfc1807><datestamp>2022-04-29T15:43:56.0866802</datestamp><bib-version>v2</bib-version><id>59927</id><entry>2022-04-29</entry><title>Meson Masses in the Unquenched Quark Model</title><swanseaauthors><author><sid>8c0fc7e3b6ce4f0ab2c520ebf97a1d41</sid><firstname>JACK</firstname><surname>KENNELLY</surname><name>JACK KENNELLY</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2022-04-29</date><abstract>A novel approach to calculating coupled-channel effects for bottomonium in the 3P0 framework using realistic wavefunctions is introduced in which the physical state is expanded in a basis set of harmonic oscillators. Other techniques of solving the unquenched system are also presented including perturbative, simple harmonic oscillator and unique valence approximations. The resulting (spin-averaged) mass shifts are calculated for an nS → 1S +1S transition and compared across the separate methods. It is determined that the largest effect on the mass shift across the various approaches is the accu-rate treatment of the wavefunction, which causes significant deviations from the simple harmonic oscillator approximation near threshold. It is also found that the inclusion of mixing between valence states due to meson loops has no effect at ground state energies but induces small differences at higher lying states. While conclusions are drawn about the relative effect each of the methods presented have on determining the mass shift due to unquench-ing, further research is suggested for other transitions to be assured in such conclusions.</abstract><type>E-Thesis</type><journal/><volume/><journalNumber/><paginationStart/><paginationEnd/><publisher/><placeOfPublication>Swansea</placeOfPublication><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic/><keywords>Meson, Quark, Unquenched, Harmonic Oscillator</keywords><publishedDay>27</publishedDay><publishedMonth>4</publishedMonth><publishedYear>2022</publishedYear><publishedDate>2022-04-27</publishedDate><doi/><url/><notes/><college>COLLEGE NANME</college><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><supervisor>Burns, Timothy</supervisor><degreelevel>Master of Research</degreelevel><degreename>MSc by Research</degreename><apcterm/><lastEdited>2022-04-29T15:43:56.0866802</lastEdited><Created>2022-04-29T15:29:54.4782432</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>JACK</firstname><surname>KENNELLY</surname><order>1</order></author></authors><documents><document><filename>59927__23939__bd3749539a5a446fb08219654eb6f0da.pdf</filename><originalFilename>Kennelly_Jack_MSc_Research_Thesis_Final_Cronfa.pdf</originalFilename><uploaded>2022-04-29T15:34:57.1587444</uploaded><type>Output</type><contentLength>502489</contentLength><contentType>application/pdf</contentType><version>E-Thesis – open access</version><cronfaStatus>true</cronfaStatus><documentNotes>Copyright: The author, Jack Kennelly, 2022.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807> |
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2022-04-29T15:43:56.0866802 v2 59927 2022-04-29 Meson Masses in the Unquenched Quark Model 8c0fc7e3b6ce4f0ab2c520ebf97a1d41 JACK KENNELLY JACK KENNELLY true false 2022-04-29 A novel approach to calculating coupled-channel effects for bottomonium in the 3P0 framework using realistic wavefunctions is introduced in which the physical state is expanded in a basis set of harmonic oscillators. Other techniques of solving the unquenched system are also presented including perturbative, simple harmonic oscillator and unique valence approximations. The resulting (spin-averaged) mass shifts are calculated for an nS → 1S +1S transition and compared across the separate methods. It is determined that the largest effect on the mass shift across the various approaches is the accu-rate treatment of the wavefunction, which causes significant deviations from the simple harmonic oscillator approximation near threshold. It is also found that the inclusion of mixing between valence states due to meson loops has no effect at ground state energies but induces small differences at higher lying states. While conclusions are drawn about the relative effect each of the methods presented have on determining the mass shift due to unquench-ing, further research is suggested for other transitions to be assured in such conclusions. E-Thesis Swansea Meson, Quark, Unquenched, Harmonic Oscillator 27 4 2022 2022-04-27 COLLEGE NANME COLLEGE CODE Swansea University Burns, Timothy Master of Research MSc by Research 2022-04-29T15:43:56.0866802 2022-04-29T15:29:54.4782432 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics JACK KENNELLY 1 59927__23939__bd3749539a5a446fb08219654eb6f0da.pdf Kennelly_Jack_MSc_Research_Thesis_Final_Cronfa.pdf 2022-04-29T15:34:57.1587444 Output 502489 application/pdf E-Thesis – open access true Copyright: The author, Jack Kennelly, 2022. true eng |
title |
Meson Masses in the Unquenched Quark Model |
spellingShingle |
Meson Masses in the Unquenched Quark Model JACK KENNELLY |
title_short |
Meson Masses in the Unquenched Quark Model |
title_full |
Meson Masses in the Unquenched Quark Model |
title_fullStr |
Meson Masses in the Unquenched Quark Model |
title_full_unstemmed |
Meson Masses in the Unquenched Quark Model |
title_sort |
Meson Masses in the Unquenched Quark Model |
author_id_str_mv |
8c0fc7e3b6ce4f0ab2c520ebf97a1d41 |
author_id_fullname_str_mv |
8c0fc7e3b6ce4f0ab2c520ebf97a1d41_***_JACK KENNELLY |
author |
JACK KENNELLY |
author2 |
JACK KENNELLY |
format |
E-Thesis |
publishDate |
2022 |
institution |
Swansea University |
college_str |
Faculty of Science and Engineering |
hierarchytype |
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facultyofscienceandengineering |
hierarchy_top_title |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
hierarchy_parent_title |
Faculty of Science and Engineering |
department_str |
School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
document_store_str |
1 |
active_str |
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description |
A novel approach to calculating coupled-channel effects for bottomonium in the 3P0 framework using realistic wavefunctions is introduced in which the physical state is expanded in a basis set of harmonic oscillators. Other techniques of solving the unquenched system are also presented including perturbative, simple harmonic oscillator and unique valence approximations. The resulting (spin-averaged) mass shifts are calculated for an nS → 1S +1S transition and compared across the separate methods. It is determined that the largest effect on the mass shift across the various approaches is the accu-rate treatment of the wavefunction, which causes significant deviations from the simple harmonic oscillator approximation near threshold. It is also found that the inclusion of mixing between valence states due to meson loops has no effect at ground state energies but induces small differences at higher lying states. While conclusions are drawn about the relative effect each of the methods presented have on determining the mass shift due to unquench-ing, further research is suggested for other transitions to be assured in such conclusions. |
published_date |
2022-04-27T04:17:36Z |
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1763754174265163776 |
score |
11.016258 |