Numerical study of the three-boson bound-state problem in partial-wave and vector-variable formulations

[2606.05028] Numerical study of the three-boson bound-state problem in partial-wave and vector-variable formulations Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Nuclear Theory arXiv:2606.05028 (nucl-th) [Submitted on 3 Jun 2026 ( v1 ), last revised 14 Aug 2026 (this version, v2)] Title: Numerical study of the three-boson bound-state problem in partial-wave and vector-variable formulations Authors: Wolfgang Schadow , Mohammadreza R. Hadizadeh View a PDF of the paper titled Numerical study of the three-boson bound-state problem in partial-wave and vector-variable formulations, by Wolfgang Schadow and Mohammadreza R. Hadizadeh View PDF HTML (experimental) Abstract: We present a systematic benchmark of the three-boson bound-state problem in momentum space, comparing one-dimensional (1D) spectator-amplitude, two-dimensional (2D) partial-wave, and three-dimensional (3D) vector-variable formulations. The benchmark controls the interaction representation by embedding the same finite partial-wave interaction space in each formulation, so that discrepancies reflect discretization, interpolation, and quadrature errors. This enables direct 1D--2D--3D comparisons for separable interactions, controlled 2D--3D tests for local interactions, and comparison with the full local interaction in the 3D vector-variable formulation. Binding energies agree at the $10^{-6}$~MeV level for separable interactions and at the few-$10^{-6}$ to $10^{-5}$~MeV level for local interactions. The 2D and 3D equations are also solved in both $t$-matrix-driven and bare-potential-driven forms, whose agreement validates the permutation geometry, quadrature, and interpolation. Fourier transforms to coordinate space yield consistent norm decompositions and spatial observables, providing an independent check of the momentum-space solutions. Comments: 30 pages, 10 figures, 23 tables Subjects: Nuclear Theory (nucl-th) Cite as: arXiv:2606.05028 [nucl-th] (or arXiv:2606.05028v2 [nucl-th] for this version) https://doi.org/10.48550/arXiv.2606.05028 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Wolfgang Schadow [ view email ] [v1] Wed, 3 Jun 2026 15:56:25 UTC (46,962 KB) [v2] Fri, 14 Aug 2026 23:26:59 UTC (46,962 KB) Full-text links: Access Paper: View a PDF of the paper titled Numerical study of the three-boson bound-state problem in partial-wave and vector-variable formulations, by Wolfgang Schadow and Mohammadreza R. Hadizadeh View PDF HTML (experimental) TeX Source view license Current browse context: nucl-th < prev | next > new | recent | 2026-06 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? ) 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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