{"title":"含五夸克分量的N（1520）和N（1535）的螺旋振幅","authors":"K. Xu, A. Kaewsnod, Z. Zhao, A. Limphirat, Y. Yan","doi":"10.1103/m9gx-n2hr","DOIUrl":null,"url":null,"abstract":"We investigate the helicity amplitudes of the N</a:mi>(</a:mo>1520</a:mn>)</a:mo></a:math> and <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>N</e:mi><e:mo stretchy=\"false\">(</e:mo><e:mn>1535</e:mn><e:mo stretchy=\"false\">)</e:mo></e:math> resonances in the electromagnetic transition process <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mi>γ</i:mi><i:mo>*</i:mo></i:msup><i:mi>p</i:mi><i:mo stretchy=\"false\">→</i:mo><i:msup><i:mi>N</i:mi><i:mo>*</i:mo></i:msup></i:math>, where the <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mi>N</l:mi><l:mo stretchy=\"false\">(</l:mo><l:mn>1520</l:mn><l:mo stretchy=\"false\">)</l:mo></l:math> and <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:mi>N</p:mi><p:mo stretchy=\"false\">(</p:mo><p:mn>1535</p:mn><p:mo stretchy=\"false\">)</p:mo></p:math> are assumed to include both the <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:mi>L</t:mi><t:mo>=</t:mo><t:mn>1</t:mn></t:math> three-quark and <v:math xmlns:v=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><v:mi>L</v:mi><v:mo>=</v:mo><v:mn>0</v:mn></v:math> spatial symmetric <x:math xmlns:x=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><x:msup><x:mi>q</x:mi><x:mn>4</x:mn></x:msup><x:mover accent=\"true\"><x:mi>q</x:mi><x:mo stretchy=\"false\">¯</x:mo></x:mover></x:math> pentaquark components. The helicity transition amplitudes <bb:math xmlns:bb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><bb:msub><bb:mi>A</bb:mi><bb:mrow><bb:mn>1</bb:mn><bb:mo>/</bb:mo><bb:mn>2</bb:mn></bb:mrow></bb:msub></bb:math>, <db:math xmlns:db=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><db:msub><db:mi>A</db:mi><db:mrow><db:mn>3</db:mn><db:mo>/</db:mo><db:mn>2</db:mn></db:mrow></db:msub></db:math> (for spin <fb:math xmlns:fb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><fb:mrow><fb:mn>3</fb:mn><fb:mo>/</fb:mo><fb:mn>2</fb:mn></fb:mrow></fb:math> states) and <hb:math xmlns:hb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><hb:msub><hb:mi>S</hb:mi><hb:mrow><hb:mn>1</hb:mn><hb:mo>/</hb:mo><hb:mn>2</hb:mn></hb:mrow></hb:msub></hb:math> are computed within the constituent quark model. The inclusion of the <jb:math xmlns:jb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><jb:msup><jb:mi>q</jb:mi><jb:mn>4</jb:mn></jb:msup><jb:mover accent=\"true\"><jb:mi>q</jb:mi><jb:mo stretchy=\"false\">¯</jb:mo></jb:mover></jb:math> pentaquark components via the <nb:math xmlns:nb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><nb:msup><nb:mi>γ</nb:mi><nb:mo>*</nb:mo></nb:msup><nb:mo stretchy=\"false\">→</nb:mo><nb:mi>q</nb:mi><nb:mover accent=\"true\"><nb:mi>q</nb:mi><nb:mo stretchy=\"false\">¯</nb:mo></nb:mover></nb:math> diagram significantly improves the theoretical description of the helicity amplitudes for both <sb:math xmlns:sb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><sb:mi>N</sb:mi><sb:mo stretchy=\"false\">(</sb:mo><sb:mn>1520</sb:mn><sb:mo stretchy=\"false\">)</sb:mo></sb:math> and <wb:math xmlns:wb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><wb:mi>N</wb:mi><wb:mo stretchy=\"false\">(</wb:mo><wb:mn>1535</wb:mn><wb:mo stretchy=\"false\">)</wb:mo></wb:math>, yielding a closer agreement with experimental data compared to the pure three-quark picture. The work reveals that the N</ac:mi>(</ac:mo>1520</ac:mn>)</ac:mo></ac:math> and <ec:math xmlns:ec=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ec:mi>N</ec:mi><ec:mo stretchy=\"false\">(</ec:mo><ec:mn>1535</ec:mn><ec:mo stretchy=\"false\">)</ec:mo></ec:math> resonances may contain considerable pentaquark components.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"28 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Helicity amplitudes of N(1520) and N(1535) including pentaquark components\",\"authors\":\"K. Xu, A. Kaewsnod, Z. Zhao, A. Limphirat, Y. Yan\",\"doi\":\"10.1103/m9gx-n2hr\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the helicity amplitudes of the N</a:mi>(</a:mo>1520</a:mn>)</a:mo></a:math> and <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:mi>N</e:mi><e:mo stretchy=\\\"false\\\">(</e:mo><e:mn>1535</e:mn><e:mo stretchy=\\\"false\\\">)</e:mo></e:math> resonances in the electromagnetic transition process <i:math xmlns:i=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><i:msup><i:mi>γ</i:mi><i:mo>*</i:mo></i:msup><i:mi>p</i:mi><i:mo stretchy=\\\"false\\\">→</i:mo><i:msup><i:mi>N</i:mi><i:mo>*</i:mo></i:msup></i:math>, where the <l:math xmlns:l=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><l:mi>N</l:mi><l:mo stretchy=\\\"false\\\">(</l:mo><l:mn>1520</l:mn><l:mo stretchy=\\\"false\\\">)</l:mo></l:math> and <p:math xmlns:p=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><p:mi>N</p:mi><p:mo stretchy=\\\"false\\\">(</p:mo><p:mn>1535</p:mn><p:mo stretchy=\\\"false\\\">)</p:mo></p:math> are assumed to include both the <t:math xmlns:t=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><t:mi>L</t:mi><t:mo>=</t:mo><t:mn>1</t:mn></t:math> three-quark and <v:math xmlns:v=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><v:mi>L</v:mi><v:mo>=</v:mo><v:mn>0</v:mn></v:math> spatial symmetric <x:math xmlns:x=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><x:msup><x:mi>q</x:mi><x:mn>4</x:mn></x:msup><x:mover accent=\\\"true\\\"><x:mi>q</x:mi><x:mo stretchy=\\\"false\\\">¯</x:mo></x:mover></x:math> pentaquark components. The helicity transition amplitudes <bb:math xmlns:bb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><bb:msub><bb:mi>A</bb:mi><bb:mrow><bb:mn>1</bb:mn><bb:mo>/</bb:mo><bb:mn>2</bb:mn></bb:mrow></bb:msub></bb:math>, <db:math xmlns:db=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><db:msub><db:mi>A</db:mi><db:mrow><db:mn>3</db:mn><db:mo>/</db:mo><db:mn>2</db:mn></db:mrow></db:msub></db:math> (for spin <fb:math xmlns:fb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><fb:mrow><fb:mn>3</fb:mn><fb:mo>/</fb:mo><fb:mn>2</fb:mn></fb:mrow></fb:math> states) and <hb:math xmlns:hb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><hb:msub><hb:mi>S</hb:mi><hb:mrow><hb:mn>1</hb:mn><hb:mo>/</hb:mo><hb:mn>2</hb:mn></hb:mrow></hb:msub></hb:math> are computed within the constituent quark model. The inclusion of the <jb:math xmlns:jb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><jb:msup><jb:mi>q</jb:mi><jb:mn>4</jb:mn></jb:msup><jb:mover accent=\\\"true\\\"><jb:mi>q</jb:mi><jb:mo stretchy=\\\"false\\\">¯</jb:mo></jb:mover></jb:math> pentaquark components via the <nb:math xmlns:nb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><nb:msup><nb:mi>γ</nb:mi><nb:mo>*</nb:mo></nb:msup><nb:mo stretchy=\\\"false\\\">→</nb:mo><nb:mi>q</nb:mi><nb:mover accent=\\\"true\\\"><nb:mi>q</nb:mi><nb:mo stretchy=\\\"false\\\">¯</nb:mo></nb:mover></nb:math> diagram significantly improves the theoretical description of the helicity amplitudes for both <sb:math xmlns:sb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><sb:mi>N</sb:mi><sb:mo stretchy=\\\"false\\\">(</sb:mo><sb:mn>1520</sb:mn><sb:mo stretchy=\\\"false\\\">)</sb:mo></sb:math> and <wb:math xmlns:wb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><wb:mi>N</wb:mi><wb:mo stretchy=\\\"false\\\">(</wb:mo><wb:mn>1535</wb:mn><wb:mo stretchy=\\\"false\\\">)</wb:mo></wb:math>, yielding a closer agreement with experimental data compared to the pure three-quark picture. The work reveals that the N</ac:mi>(</ac:mo>1520</ac:mn>)</ac:mo></ac:math> and <ec:math xmlns:ec=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ec:mi>N</ec:mi><ec:mo stretchy=\\\"false\\\">(</ec:mo><ec:mn>1535</ec:mn><ec:mo stretchy=\\\"false\\\">)</ec:mo></ec:math> resonances may contain considerable pentaquark components.\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/m9gx-n2hr\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/m9gx-n2hr","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
Helicity amplitudes of N(1520) and N(1535) including pentaquark components
We investigate the helicity amplitudes of the N(1520) and N(1535) resonances in the electromagnetic transition process γ*p→N*, where the N(1520) and N(1535) are assumed to include both the L=1 three-quark and L=0 spatial symmetric q4q¯ pentaquark components. The helicity transition amplitudes A1/2, A3/2 (for spin 3/2 states) and S1/2 are computed within the constituent quark model. The inclusion of the q4q¯ pentaquark components via the γ*→qq¯ diagram significantly improves the theoretical description of the helicity amplitudes for both N(1520) and N(1535), yielding a closer agreement with experimental data compared to the pure three-quark picture. The work reveals that the N(1520) and N(1535) resonances may contain considerable pentaquark components.
期刊介绍：
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.
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