Mapping the transverse spin sum rule in position space

[2505.20468] Mapping the transverse spin sum rule in position space Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search High Energy Physics - Phenomenology arXiv:2505.20468 (hep-ph) [Submitted on 26 May 2025 ( v1 ), last revised 15 Aug 2025 (this version, v2)] Title: Mapping the transverse spin sum rule in position space Authors: Cédric Lorcé , Asmita Mukherjee , Ravi Singh , Ho-Yeon Won View a PDF of the paper titled Mapping the transverse spin sum rule in position space, by C\'edric Lorc\'e and 3 other authors View PDF HTML (experimental) Abstract: We discuss in detail the relativistic spatial distribution of transverse angular momentum, including both orbital and intrinsic spin contributions. Using the quantum phase-space formalism, we begin with the definition of the three-dimensional spatial distributions of transverse orbital angular momentum and intrinsic spin in a generic Lorentz frame. By integrating these three-dimensional spatial distributions over the longitudinal axis, we derive for the first time the relativistic spatial distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum for spin-0 and spin-1/2 targets in the transverse plane. We verify the transverse spin sum rule about the relativistic center of spin for spin-0 and spin-1/2 systems, and find that the transverse total angular momentum distribution is non-trivial, even for spin-0 targets. We also show how the distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum change with the target momentum. Comments: 10 pages, 4 figures Subjects: High Energy Physics - Phenomenology (hep-ph) ; High Energy Physics - Theory (hep-th); Nuclear Theory (nucl-th) Cite as: arXiv:2505.20468 [hep-ph] (or arXiv:2505.20468v2 [hep-ph] for this version) https://doi.org/10.48550/arXiv.2505.20468 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1016/j.physletb.2025.139792 Focus to learn more DOI(s) linking to related resources Submission history From: Ho-Yeon Won [ view email ] [v1] Mon, 26 May 2025 19:08:58 UTC (7,299 KB) [v2] Fri, 15 Aug 2025 18:01:47 UTC (6,432 KB) Full-text links: Access Paper: View a PDF of the paper titled Mapping the transverse spin sum rule in position space, by C\'edric Lorc\'e and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: hep-ph < prev | next > new | recent | 2025-05 Change to browse by: hep-th nucl-th References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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