Heavy quarkonia in non-relativistic quantum chromodynamics

Quarkonium-hiukkaset ovat saman makulajin kvarkki-antikvarkkiparista muodostuvia sidottuja tiloja. Tässä työssä käydään läpi epärelativistiseksi kvanttiväridynamiikaksi kutsuttavaa efektiivistä kenttäteoriaa, jota voidaan käyttää raskaiden kvarkkien muodostamien quarkonium-hiukkasten kuvaamiseen. Te...

Full description

Bibliographic Details
Main Author: Penttala, Jani
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2019
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/66973
_version_ 1828193087108677632
author Penttala, Jani
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_facet Penttala, Jani Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä Penttala, Jani Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics Jyväskylän yliopisto University of Jyväskylä
author_sort Penttala, Jani
datasource_str_mv jyx
description Quarkonium-hiukkaset ovat saman makulajin kvarkki-antikvarkkiparista muodostuvia sidottuja tiloja. Tässä työssä käydään läpi epärelativistiseksi kvanttiväridynamiikaksi kutsuttavaa efektiivistä kenttäteoriaa, jota voidaan käyttää raskaiden kvarkkien muodostamien quarkonium-hiukkasten kuvaamiseen. Teoriaa kuvaava Lagrangen funktio johdetaan alimmissa kertaluvuissa, ja sitä käytetään johtamaan eri operaattorien skaalautuminen kvarkin nopeuden suhteen. Skaalaussääntöjen avulla johdetaan tämän jälkeen arviot eri Fock-tilojen suuruuksille quarkoniumissa. Orbitaalista kvanttilukua L=0 vastaavien quarkonium-hiukkasten hajoamisleveydet kirjoitetaan potenssisarjana kvarkin nopeuden suhteen. Hajoamisleveyksien yhtälöissä esiintyy tuntemattomia vakioita, jotka esiintyvät myös quarkoniumin inklusiivisen tuoton vaikutusaloissa. Näiden tuntemattomien vakioiden yhteys quarkoniumin aaltofunktioon käydään myös läpi. Hajoamisleveyksien lausekkeista saatavia arvoja tutkitaan eri kertaluvuissa kvarkin nopeuden suhteen. Havaitaan, että potenssisarjan suppeneminen on hidasta ja riippuu hajoamisprosessista. Quarkonia are bound states of a quark-antiquark pair having the same flavour. In this work, we go through how the effective field theory of non-relativistic quantum chromodynamics (NRQCD) can be used to describe quarkonia formed by heavy quarks. The Lagrangian describing the theory is derived at lowest orders and used to determine the velocity-scaling of different operators. The velocity-scaling rules are then used to estimate contributions of different Fock states in quarkonia. We then describe the decay of S-wave quarkonia by writing the decay widths as power series in the velocity of the quark. The equations for the decay widths contain unknown constants that also appear in the inclusive cross sections of quarkonium production, and their connection to the quarkonium wave function is also shown. The results for the decay widths at different orders of the quark velocity are studied. It is found that the convergence of the power series is slow, with the convergence depending on the decay process.
first_indexed 2019-12-19T21:07:31Z
format Pro gradu
free_online_boolean 1
fullrecord [{"key": "dc.contributor.advisor", "value": "M\u00e4ntysaari, Heikki", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Penttala, Jani", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2019-12-19T12:59:55Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2019-12-19T12:59:55Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2019", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/66973", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Quarkonium-hiukkaset ovat saman makulajin kvarkki-antikvarkkiparista muodostuvia sidottuja tiloja. T\u00e4ss\u00e4 ty\u00f6ss\u00e4 k\u00e4yd\u00e4\u00e4n l\u00e4pi ep\u00e4relativistiseksi kvanttiv\u00e4ridynamiikaksi kutsuttavaa efektiivist\u00e4 kentt\u00e4teoriaa, jota voidaan k\u00e4ytt\u00e4\u00e4 raskaiden kvarkkien muodostamien quarkonium-hiukkasten kuvaamiseen. Teoriaa kuvaava Lagrangen funktio johdetaan alimmissa kertaluvuissa, ja sit\u00e4 k\u00e4ytet\u00e4\u00e4n johtamaan eri operaattorien skaalautuminen kvarkin nopeuden suhteen. Skaalauss\u00e4\u00e4nt\u00f6jen avulla johdetaan t\u00e4m\u00e4n j\u00e4lkeen arviot eri Fock-tilojen suuruuksille quarkoniumissa.\n\nOrbitaalista kvanttilukua L=0 vastaavien quarkonium-hiukkasten hajoamisleveydet kirjoitetaan potenssisarjana kvarkin nopeuden suhteen. Hajoamisleveyksien yht\u00e4l\u00f6iss\u00e4 esiintyy tuntemattomia vakioita, jotka esiintyv\u00e4t my\u00f6s quarkoniumin inklusiivisen tuoton vaikutusaloissa. N\u00e4iden tuntemattomien vakioiden yhteys quarkoniumin aaltofunktioon k\u00e4yd\u00e4\u00e4n my\u00f6s l\u00e4pi.\n\nHajoamisleveyksien lausekkeista saatavia arvoja tutkitaan eri kertaluvuissa kvarkin nopeuden suhteen. Havaitaan, ett\u00e4 potenssisarjan suppeneminen on hidasta ja riippuu hajoamisprosessista.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Quarkonia are bound states of a quark-antiquark pair having the same flavour. In this work, we go through how the effective field theory of non-relativistic quantum chromodynamics (NRQCD) can be used to describe quarkonia formed by heavy quarks. The Lagrangian describing the theory is derived at lowest orders and used to determine the velocity-scaling of different operators. The velocity-scaling rules are then used to estimate contributions of different Fock states in quarkonia.\n\nWe then describe the decay of S-wave quarkonia by writing the decay widths as power series in the velocity of the quark. The equations for the decay widths contain unknown constants that also appear in the inclusive cross sections of quarkonium production, and their connection to the quarkonium wave function is also shown.\n\nThe results for the decay widths at different orders of the quark velocity are studied. It is found that the convergence of the power series is slow, with the convergence depending on the decay process.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Miia Hakanen (mihakane@jyu.fi) on 2019-12-19T12:59:55Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2019-12-19T12:59:55Z (GMT). No. of bitstreams: 0\n Previous issue date: 2019", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "86", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "eng", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "quarkonium", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "efektiivinen kentt\u00e4teoria", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "kvanttiv\u00e4ridynamiikka", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Heavy quarkonia in non-relativistic quantum chromodynamics", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201912195448", "language": "", "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Physics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4021", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "kvanttikentt\u00e4teoria", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "hiukkasfysiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "quantum field theory", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "particle physics", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
id jyx.123456789_66973
language eng
last_indexed 2025-03-31T20:01:37Z
main_date 2019-01-01T00:00:00Z
main_date_str 2019
online_boolean 1
online_urls_str_mv {"url":"https:\/\/jyx.jyu.fi\/bitstreams\/9051423b-f5c4-455e-be0e-e2d34e27b7b0\/download","text":"URN:NBN:fi:jyu-201912195448.pdf","source":"jyx","mediaType":"application\/pdf"}
publishDate 2019
record_format qdc
source_str_mv jyx
spellingShingle Penttala, Jani Heavy quarkonia in non-relativistic quantum chromodynamics quarkonium efektiivinen kenttäteoria kvanttiväridynamiikka Fysiikka Physics 4021 kvanttikenttäteoria hiukkasfysiikka quantum field theory particle physics
title Heavy quarkonia in non-relativistic quantum chromodynamics
title_full Heavy quarkonia in non-relativistic quantum chromodynamics
title_fullStr Heavy quarkonia in non-relativistic quantum chromodynamics Heavy quarkonia in non-relativistic quantum chromodynamics
title_full_unstemmed Heavy quarkonia in non-relativistic quantum chromodynamics Heavy quarkonia in non-relativistic quantum chromodynamics
title_short Heavy quarkonia in non-relativistic quantum chromodynamics
title_sort heavy quarkonia in non relativistic quantum chromodynamics
title_txtP Heavy quarkonia in non-relativistic quantum chromodynamics
topic quarkonium efektiivinen kenttäteoria kvanttiväridynamiikka Fysiikka Physics 4021 kvanttikenttäteoria hiukkasfysiikka quantum field theory particle physics
topic_facet 4021 Fysiikka Physics efektiivinen kenttäteoria hiukkasfysiikka kvanttikenttäteoria kvanttiväridynamiikka particle physics quantum field theory quarkonium
url https://jyx.jyu.fi/handle/123456789/66973 http://www.urn.fi/URN:NBN:fi:jyu-201912195448
work_keys_str_mv AT penttalajani heavyquarkoniainnonrelativisticquantumchromodynamics