Deser formula for the shift of energy levels of hadronic atoms in terms of the effective radius of the strong interaction with the Coulomb wave function of hadronic atoms at the origin

[2608.03795] Deser formula for the shift of energy levels of hadronic atoms in terms of the effective radius of the strong interaction with the Coulomb wave function of hadronic atoms at the origin Skip to main content Search Submit Donate Log in High Energy Physics - Phenomenology arXiv:2608.03795 (hep-ph) [Submitted on 4 Aug 2026 ( v1 ), last revised 8 Oct 2026 (this version, v3)] Title: Deser formula for the shift of energy levels of hadronic atoms in terms of the effective radius of the strong interaction with the Coulomb wave function of hadronic atoms at the origin Authors: O. Voskresenskaya View PDF Abstract: It is shown that the relations between probabilities of A_2{\pi}-atoms creation in ns-states, derived with neglecting of strong interaction between pions, remain practically unchanged if the strong interaction is taken into account in the first order of perturbation theory. The formulation of Deser equation for the energy shift of energy levels of hadronic atoms is given in terms of the effective range of strong interaction and the relative correction to the Coulomb wave function of hadronic atoms at the origin, caused by the strong interaction. Comments: 17 pages, pdf Subjects: High Energy Physics - Phenomenology (hep-ph) Cite as: arXiv:2608.03795 [hep-ph] (or arXiv:2608.03795v3 [hep-ph] for this version) https://doi.org/10.48550/arXiv.2608.03795 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Olga Voskresenskaya [ view email ] [v1] Tue, 4 Aug 2026 15:11:03 UTC (1,056 KB) [v2] Fri, 28 Aug 2026 11:50:21 UTC (1,058 KB) [v3] Thu, 8 Oct 2026 14:58:29 UTC (1,064 KB) Full-text links: Access Paper: View PDF view license Current browse context: hep-ph < prev | next > new | recent | 2026-08 References & Citations INSPIRE HEP SciX Google Scholar Semantic Scholar export BibTeX citation 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)

Related documents

• Deser formula for the shift of energy levels of hadronic atoms in terms of the effective radius of the strong interaction with the Coulomb wave function of hadronic atoms at the origin#682794
• Quantum Dynamical and isotopic effects for Hydrogen isotopes scattering at W(110) surface#677514
• Quantum Dynamical and isotopic effects for Hydrogen isotopes scattering at W(110) surface#674316
• Inference of the linear matter power spectrum at z = 0 using DESI DR1 Full-Shape data#653982
• W-boson helicity fractions in top decay as probes of dimension-6 and dimension-8 SMEFT operators#615002