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The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions

Christopher Michael, R.D. Kenway, B.J. Pendleton, Christopher T. Sachrajda, D.G. Richards, K.C. Bowler, S.P. Booth, D.S. Henty, J.N. Simone Orcid Logo, A.D. Simpson, P.W. Stephenson, Chris Allton Orcid Logo

Physics Letters B, Volume: 292, Issue: 3-4, Pages: 408 - 412

Swansea University Author: Chris Allton Orcid Logo

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DOI (Published version): 10.1016/0370-2693(92)91195-F

Abstract

We compute the hyperfine splitting $m_{J/\psi}-m_{\eta_c}$ on the lattice, using both the Wilson and $O(a)$-improved (clover) actions for quenched quarks. The computations are performed on a $24~3\times48$ lattice at $\beta = 6.2$, using the same set of 18 gluon configurations for both fermion actio...

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Published in: Physics Letters B
ISSN: 03702693
Published: 1992
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URI: https://cronfa.swan.ac.uk/Record/cronfa28430
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spelling 2016-08-08T12:43:27.3594400 v2 28430 2016-06-02 The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH We compute the hyperfine splitting $m_{J/\psi}-m_{\eta_c}$ on the lattice, using both the Wilson and $O(a)$-improved (clover) actions for quenched quarks. The computations are performed on a $24~3\times48$ lattice at $\beta = 6.2$, using the same set of 18 gluon configurations for both fermion actions. We find that the splitting is 1.83\err{13}{15} times larger with the clover action than with the Wilson action, demonstrating the sensitivity of the spin-splitting to the magnetic moment term which is present in the clover action. However, even with the clover action the result is less than half of the physical mass-splitting. We also compute the decay constants $f_{\eta_c}$ and $f~{-1}_{J/\psi}$, both of which are considerably larger when computed using the clover action than with the Wilson action. For example for the ratio $f~{-1}_{J/\psi}/f~{-1}_{\rho}$ we find 0.32\err{1}{2} with the Wilson action and $0.48\pm 3$ with the clover action (the physical value is 0.44(2)). Journal Article Physics Letters B 292 3-4 408 412 03702693 31 12 1992 1992-12-31 10.1016/0370-2693(92)91195-F http://inspirehep.net/record/33097 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:43:27.3594400 2016-06-02T15:05:48.2607502 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Christopher Michael 1 R.D. Kenway 2 B.J. Pendleton 3 Christopher T. Sachrajda 4 D.G. Richards 5 K.C. Bowler 6 S.P. Booth 7 D.S. Henty 8 J.N. Simone 0000-0001-8515-3337 9 A.D. Simpson 10 P.W. Stephenson 11 Chris Allton 0000-0003-0795-124X 12
title The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions
spellingShingle The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions
Chris Allton
title_short The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions
title_full The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions
title_fullStr The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions
title_full_unstemmed The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions
title_sort The hyperfine splitting in charmonium. Lattice computations using the Wilson and clover fermion actions
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 Christopher Michael
R.D. Kenway
B.J. Pendleton
Christopher T. Sachrajda
D.G. Richards
K.C. Bowler
S.P. Booth
D.S. Henty
J.N. Simone
A.D. Simpson
P.W. Stephenson
Chris Allton
format Journal article
container_title Physics Letters B
container_volume 292
container_issue 3-4
container_start_page 408
publishDate 1992
institution Swansea University
issn 03702693
doi_str_mv 10.1016/0370-2693(92)91195-F
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id 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
url http://inspirehep.net/record/33097
document_store_str 0
active_str 0
description We compute the hyperfine splitting $m_{J/\psi}-m_{\eta_c}$ on the lattice, using both the Wilson and $O(a)$-improved (clover) actions for quenched quarks. The computations are performed on a $24~3\times48$ lattice at $\beta = 6.2$, using the same set of 18 gluon configurations for both fermion actions. We find that the splitting is 1.83\err{13}{15} times larger with the clover action than with the Wilson action, demonstrating the sensitivity of the spin-splitting to the magnetic moment term which is present in the clover action. However, even with the clover action the result is less than half of the physical mass-splitting. We also compute the decay constants $f_{\eta_c}$ and $f~{-1}_{J/\psi}$, both of which are considerably larger when computed using the clover action than with the Wilson action. For example for the ratio $f~{-1}_{J/\psi}/f~{-1}_{\rho}$ we find 0.32\err{1}{2} with the Wilson action and $0.48\pm 3$ with the clover action (the physical value is 0.44(2)).
published_date 1992-12-31T03:34:34Z
_version_ 1763751466762240000
score 11.037166

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