{"title":"Pomeron-odderon干涉下正向pA碰撞中的单自旋不对称性","authors":"Sanjin Benić, Eric Andreas Vivoda","doi":"10.1103/physrevd.111.094027","DOIUrl":null,"url":null,"abstract":"Working in the hybrid framework of the high energy p</a:mi>A</a:mi></a:math> collisions we identify a new contribution to transverse single spin asymmetry (SSA). The phase necessary for the SSA is provided by the Pomeron-odderon interference in the dense nuclear target. The complete formula for the <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>p</c:mi><c:mi>A</c:mi><c:mo stretchy=\"false\">→</c:mo><c:mi>h</c:mi><c:mi>X</c:mi></c:math> polarized cross section also contains the transversity distribution for the polarized projectile as well as the real part of the twist-three fragmentation function. We numerically estimate the asymmetry <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:msub><f:mi>A</f:mi><f:mi>N</f:mi></f:msub></f:math> and its nuclear dependence. Based on a model computation we find that <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:msub><h:mi>A</h:mi><h:mi>N</h:mi></h:msub></h:math> can be a percent level in the forward and low-<j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:msub><j:mi>P</j:mi><j:mrow><j:mi>h</j:mi><j:mo>⊥</j:mo></j:mrow></j:msub></j:math> region. For large nuclei we find significant suppression, with <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:msub><l:mi>A</l:mi><l:mi>N</l:mi></l:msub><l:mo>∝</l:mo><l:msup><l:mi>A</l:mi><l:mrow><l:mo>−</l:mo><l:mn>7</l:mn><l:mo>/</l:mo><l:mn>6</l:mn></l:mrow></l:msup></l:math> parametrically. As a notable feature we find a node of <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:msub><n:mi>A</n:mi><n:mi>N</n:mi></n:msub></n:math> as a function of the <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:msub><p:mi>P</p:mi><p:mrow><p:mi>h</p:mi><p:mo>⊥</p:mo></p:mrow></p:msub></p:math> around the values of the initial saturation scale that could be used to test this mechanism experimentally. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"10 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Single spin asymmetry in forward pA collisions from the Pomeron-odderon interference\",\"authors\":\"Sanjin Benić, Eric Andreas Vivoda\",\"doi\":\"10.1103/physrevd.111.094027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Working in the hybrid framework of the high energy p</a:mi>A</a:mi></a:math> collisions we identify a new contribution to transverse single spin asymmetry (SSA). The phase necessary for the SSA is provided by the Pomeron-odderon interference in the dense nuclear target. The complete formula for the <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:mi>p</c:mi><c:mi>A</c:mi><c:mo stretchy=\\\"false\\\">→</c:mo><c:mi>h</c:mi><c:mi>X</c:mi></c:math> polarized cross section also contains the transversity distribution for the polarized projectile as well as the real part of the twist-three fragmentation function. We numerically estimate the asymmetry <f:math xmlns:f=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><f:msub><f:mi>A</f:mi><f:mi>N</f:mi></f:msub></f:math> and its nuclear dependence. Based on a model computation we find that <h:math xmlns:h=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><h:msub><h:mi>A</h:mi><h:mi>N</h:mi></h:msub></h:math> can be a percent level in the forward and low-<j:math xmlns:j=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><j:msub><j:mi>P</j:mi><j:mrow><j:mi>h</j:mi><j:mo>⊥</j:mo></j:mrow></j:msub></j:math> region. For large nuclei we find significant suppression, with <l:math xmlns:l=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><l:msub><l:mi>A</l:mi><l:mi>N</l:mi></l:msub><l:mo>∝</l:mo><l:msup><l:mi>A</l:mi><l:mrow><l:mo>−</l:mo><l:mn>7</l:mn><l:mo>/</l:mo><l:mn>6</l:mn></l:mrow></l:msup></l:math> parametrically. As a notable feature we find a node of <n:math xmlns:n=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><n:msub><n:mi>A</n:mi><n:mi>N</n:mi></n:msub></n:math> as a function of the <p:math xmlns:p=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><p:msub><p:mi>P</p:mi><p:mrow><p:mi>h</p:mi><p:mo>⊥</p:mo></p:mrow></p:msub></p:math> around the values of the initial saturation scale that could be used to test this mechanism experimentally. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2025-05-16\",\"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/physrevd.111.094027\",\"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/physrevd.111.094027","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}
Single spin asymmetry in forward pA collisions from the Pomeron-odderon interference
Working in the hybrid framework of the high energy pA collisions we identify a new contribution to transverse single spin asymmetry (SSA). The phase necessary for the SSA is provided by the Pomeron-odderon interference in the dense nuclear target. The complete formula for the pA→hX polarized cross section also contains the transversity distribution for the polarized projectile as well as the real part of the twist-three fragmentation function. We numerically estimate the asymmetry AN and its nuclear dependence. Based on a model computation we find that AN can be a percent level in the forward and low-Ph⊥ region. For large nuclei we find significant suppression, with AN∝A−7/6 parametrically. As a notable feature we find a node of AN as a function of the Ph⊥ around the values of the initial saturation scale that could be used to test this mechanism experimentally. Published by the American Physical Society2025
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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