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...

Full description

Bibliographic Details
Main Authors: Luty, M, March-Russell, J, White, M
Format: Journal article
Language:English
Published: 1995
_version_ 1797086542310670336
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