Skyrmions in models with pions and rho mesons

A bstract A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of the nuclei that they aim to describe. Here we consider theories that extend the standard Skyrme model of pions by including rho mesons, via dim...

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Vydáno v:	The journal of high energy physics Ročník 2018; číslo 5; s. 1 - 14
Hlavní autoři:	Naya, Carlos, Sutcliffe, Paul
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018 Springer Nature B.V SpringerOpen
Témata:	Binding energy Classical and Quantum Gravitation Elementary Particles High energy physics Hypothetical particles Mathematical models Particle theory Physics Physics and Astronomy Pions Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Rho-mesons Sigma Models Solitons Monopoles and Instantons String Theory Yang-Mills theory Sigma Models Solitons Monopoles and Instantons
ISSN:	1029-8479, 1029-8479
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Abstract	A bstract A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of the nuclei that they aim to describe. Here we consider theories that extend the standard Skyrme model of pions by including rho mesons, via dimensional deconstruction of Yang-Mills theory with an extra dimension. We report the first results of parallel numerical computations of multi-Skyrmions in theories of this type, including a model that reduces Skyrmion energies below those of the standard Skyrme model whilst retaining exactly the same Faddeev-Bogomolny energy bound. We compute all Skyrmions with baryons numbers up to 12 and find that the inclusion of rho mesons reduces binding energies to less than 4%, and therefore moves Skyrmion theory closer to experimental data. Furthermore, we find that this dramatic reduction in binding energies is obtained without changing the qualitative features of the Skyrmions, such as their symmetries.
AbstractList	Abstract A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of the nuclei that they aim to describe. Here we consider theories that extend the standard Skyrme model of pions by including rho mesons, via dimensional deconstruction of Yang-Mills theory with an extra dimension. We report the first results of parallel numerical computations of multi-Skyrmions in theories of this type, including a model that reduces Skyrmion energies below those of the standard Skyrme model whilst retaining exactly the same Faddeev-Bogomolny energy bound. We compute all Skyrmions with baryons numbers up to 12 and find that the inclusion of rho mesons reduces binding energies to less than 4%, and therefore moves Skyrmion theory closer to experimental data. Furthermore, we find that this dramatic reduction in binding energies is obtained without changing the qualitative features of the Skyrmions, such as their symmetries. A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of the nuclei that they aim to describe. Here we consider theories that extend the standard Skyrme model of pions by including rho mesons, via dimensional deconstruction of Yang-Mills theory with an extra dimension. We report the first results of parallel numerical computations of multi-Skyrmions in theories of this type, including a model that reduces Skyrmion energies below those of the standard Skyrme model whilst retaining exactly the same Faddeev-Bogomolny energy bound. We compute all Skyrmions with baryons numbers up to 12 and find that the inclusion of rho mesons reduces binding energies to less than 4%, and therefore moves Skyrmion theory closer to experimental data. Furthermore, we find that this dramatic reduction in binding energies is obtained without changing the qualitative features of the Skyrmions, such as their symmetries. A bstract A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of the nuclei that they aim to describe. Here we consider theories that extend the standard Skyrme model of pions by including rho mesons, via dimensional deconstruction of Yang-Mills theory with an extra dimension. We report the first results of parallel numerical computations of multi-Skyrmions in theories of this type, including a model that reduces Skyrmion energies below those of the standard Skyrme model whilst retaining exactly the same Faddeev-Bogomolny energy bound. We compute all Skyrmions with baryons numbers up to 12 and find that the inclusion of rho mesons reduces binding energies to less than 4%, and therefore moves Skyrmion theory closer to experimental data. Furthermore, we find that this dramatic reduction in binding energies is obtained without changing the qualitative features of the Skyrmions, such as their symmetries.
ArticleNumber	174
Author	Naya, Carlos Sutcliffe, Paul
Author_xml	– sequence: 1 givenname: Carlos surname: Naya fullname: Naya, Carlos organization: Department of Mathematical Sciences, Durham University – sequence: 2 givenname: Paul surname: Sutcliffe fullname: Sutcliffe, Paul email: p.m.sutcliffe@durham.ac.uk organization: Department of Mathematical Sciences, Durham University
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Cites_doi	10.1016/j.nuclphysb.2016.01.011 10.1016/j.nuclphysb.2015.04.005 10.1016/j.nuclphysb.2017.01.027 10.1016/0029-5582(62)90775-7 10.1007/BF02096649 10.1103/PhysRevLett.56.1035 10.1007/JHEP08(2010)019 10.1103/PhysRevLett.54.1215 10.1007/JHEP04(2011)045 10.1016/j.physletb.2005.08.097 10.1143/PTP.113.843 10.1016/0550-3213(83)90559-X 10.1142/9710 10.1007/BF00750845 10.1007/BF00398483 10.1103/PhysRevD.88.079904 10.1142/S0129055X02001065 10.1007/JHEP01(2014)078 10.1017/CBO9780511617034 10.1016/S0550-3213(97)00619-6 10.1103/PhysRevD.33.193 10.1016/j.physletb.2010.06.025 10.1016/0370-2693(89)90340-7 10.1103/PhysRevLett.111.232501 10.1103/PhysRevC.95.031303 10.1016/j.physletb.2013.11.062 10.1016/0370-1573(88)90019-1 10.1016/0550-3213(84)90172-X 10.1103/PhysRevLett.86.3989 10.1016/S0370-1573(03)00139-X
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References_xml	– reference: BattyeRMSutcliffePMSolitonic fullerenesPhys. Rev. Lett.20018639892001PhRvL..86.3989B10.1103/PhysRevLett.86.3989[hep-th/0012215] [INSPIRE] – reference: GillardMHarlandDKirkEMaybeeBSpeightMA point particle model of lightly bound skyrmionsNucl. Phys.2017B 9172862017NuPhB.917..286G10.1016/j.nuclphysb.2017.01.027[arXiv:1612.05481] [INSPIRE] – reference: AtiyahMFMantonNSSkyrmions from instantonsPhys. Lett.1989B 2224381989PhLB..222..438A100132510.1016/0370-2693(89)90340-7[INSPIRE] – reference: AdamCSanchez-GuillenJWereszczynskiAA BPS Skyrme model and baryons at large NcPhys. Rev.2010D 822010PhRvD..82h5015A[arXiv:1007.1567] [INSPIRE] – reference: C.J. Halcrow, C. King and N.S. Manton, A dynamical α-cluster model of16O, Phys. Rev.C 95 (2017) 031303 [arXiv:1608.05048] [INSPIRE]. – reference: BattyeRASutcliffePMSkyrmions, fullerenes and rational mapsRev. Math. Phys.20021429187791510.1142/S0129055X02001065[hep-th/0103026] [INSPIRE] – reference: Y.-L. Ma, M. Harada, H.K. Lee, Y. Oh, B.-Y. Park and M. Rho, Dense baryonic matter in the hidden local symmetry approach: half-skyrmions and nucleon mass, Phys. Rev.D 88 (2013) 014016 [Erratum ibid.D 88 (2013) 079904] [arXiv:1304.5638] [INSPIRE]. – reference: HaradaMasayasuYamawakiKoichiHidden local symmetry at loopPhysics Reports20033811-312332003PhR...381....1H10.1016/S0370-1573(03)00139-X – reference: MantonNSSutcliffePMTopological solitons2004Cambridge U.K.Cambridge University Press10.1017/CBO9780511617034[INSPIRE] – reference: WardRSStable topological skyrmions on the 2D latticeLett. Math. Phys.1995353851995LMaPh..35..385W135830310.1007/BF00750845[hep-th/9502048] [INSPIRE] – reference: BolognesiSSutcliffePThe Sakai-Sugimoto solitonJHEP2014010782014JHEP...01..078B10.1007/JHEP01(2014)078[arXiv:1309.1396] [INSPIRE] – reference: AdkinsGSNappiCRWittenEStatic properties of nucleons in the Skyrme modelNucl. Phys.1983B 2285521983NuPhB.228..552A10.1016/0550-3213(83)90559-X[INSPIRE] – reference: M. 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Snippet	A bstract A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of... A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of the nuclei... Abstract A problem with the standard Skyrme model is that Skyrmion binding energies are around 15%, being much larger than the order 1% binding energies of the...
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SubjectTerms	Binding energy Classical and Quantum Gravitation Elementary Particles High energy physics Hypothetical particles Mathematical models Particle theory Physics Physics and Astronomy Pions Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Rho-mesons Sigma Models Solitons Monopoles and Instantons String Theory Yang-Mills theory
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Title	Skyrmions in models with pions and rho mesons
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