Baryon magnetic moments in a simultaneous expansion in 1/N and ms.
We consider the baryon octet and decuplet magnetic moments in a simultaneous expansion in $m_s$ and $1/N$ taking $N_F / N \sim 1$, where $N$ is the number of QCD colors and $N_F$ is the number of light quark flavors. At leading order in this expansion, the magnetic moments obey the non-relativistic...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
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1995
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author | Luty, M March-Russell, J White, M |
author_facet | Luty, M March-Russell, J White, M |
author_sort | Luty, M |
collection | OXFORD |
description | We consider the baryon octet and decuplet magnetic moments in a simultaneous expansion in $m_s$ and $1/N$ taking $N_F / N \sim 1$, where $N$ is the number of QCD colors and $N_F$ is the number of light quark flavors. At leading order in this expansion, the magnetic moments obey the non-relativistic quark-model relations. We compute corrections to these relations using an effective lagrangian formalism which respects chiral symmetry to all orders in the $1/N$ expansion. Including corrections up to order $m_s^{1/2}$, we find 8 relations among the 9 measured octet and decuplet magnetic moments; including corrections up to order $1/N$ and $m_s$, we find 4 remaining relations. The relations work well, and suggest that the expansion is under control. We give predictions for the unmeasured decuplet magnetic moments. |
first_indexed | 2024-03-07T02:23:35Z |
format | Journal article |
id | oxford-uuid:a4cef0c2-4bcc-4734-bbf7-acf73c0e0499 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T02:23:35Z |
publishDate | 1995 |
record_format | dspace |
spelling | oxford-uuid:a4cef0c2-4bcc-4734-bbf7-acf73c0e04992022-03-27T02:36:16ZBaryon magnetic moments in a simultaneous expansion in 1/N and ms.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a4cef0c2-4bcc-4734-bbf7-acf73c0e0499EnglishSymplectic Elements at Oxford1995Luty, MMarch-Russell, JWhite, MWe consider the baryon octet and decuplet magnetic moments in a simultaneous expansion in $m_s$ and $1/N$ taking $N_F / N \sim 1$, where $N$ is the number of QCD colors and $N_F$ is the number of light quark flavors. At leading order in this expansion, the magnetic moments obey the non-relativistic quark-model relations. We compute corrections to these relations using an effective lagrangian formalism which respects chiral symmetry to all orders in the $1/N$ expansion. Including corrections up to order $m_s^{1/2}$, we find 8 relations among the 9 measured octet and decuplet magnetic moments; including corrections up to order $1/N$ and $m_s$, we find 4 remaining relations. The relations work well, and suggest that the expansion is under control. We give predictions for the unmeasured decuplet magnetic moments. |
spellingShingle | Luty, M March-Russell, J White, M Baryon magnetic moments in a simultaneous expansion in 1/N and ms. |
title | Baryon magnetic moments in a simultaneous expansion in 1/N and ms. |
title_full | Baryon magnetic moments in a simultaneous expansion in 1/N and ms. |
title_fullStr | Baryon magnetic moments in a simultaneous expansion in 1/N and ms. |
title_full_unstemmed | Baryon magnetic moments in a simultaneous expansion in 1/N and ms. |
title_short | Baryon magnetic moments in a simultaneous expansion in 1/N and ms. |
title_sort | baryon magnetic moments in a simultaneous expansion in 1 n and ms |
work_keys_str_mv | AT lutym baryonmagneticmomentsinasimultaneousexpansionin1nandms AT marchrussellj baryonmagneticmomentsinasimultaneousexpansionin1nandms AT whitem baryonmagneticmomentsinasimultaneousexpansionin1nandms |