π- p atom in ChPT: Strong energy-level shift

Abstract

The general formula of the π^- p atom strong energy-level shift in the 1s state is derived in the next-to-leading order in the isospin breaking, and in all orders in chiral expansion. Isospin-breaking corrections to the level shift are explicitly evaluated at order p² in ChPT. The results clearly demonstrate the necessity to critically reaccess the values of the π N scattering lengths, extracted from the energy-level shift measurement by means of the potential model-based theoretical analysis. (C) 2000 Elsevier Science B.V.

Original language	English
Pages (from-to)	9-18
Number of pages	10
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	494
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(00)01185-0
Publication status	Published - 23 Nov 2000

Keywords

Chiral Perturbation Theory
Hadronic atoms
Non-relativistic effective Lagrangians

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/S0370-2693(00)01185-0

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Lyubovitskij, V. E., & Rusetsky, A. (2000). π- p atom in ChPT: Strong energy-level shift. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 494(1-2), 9-18. https://doi.org/10.1016/S0370-2693(00)01185-0

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N2 - The general formula of the π- p atom strong energy-level shift in the 1s state is derived in the next-to-leading order in the isospin breaking, and in all orders in chiral expansion. Isospin-breaking corrections to the level shift are explicitly evaluated at order p2 in ChPT. The results clearly demonstrate the necessity to critically reaccess the values of the π N scattering lengths, extracted from the energy-level shift measurement by means of the potential model-based theoretical analysis. (C) 2000 Elsevier Science B.V.

AB - The general formula of the π- p atom strong energy-level shift in the 1s state is derived in the next-to-leading order in the isospin breaking, and in all orders in chiral expansion. Isospin-breaking corrections to the level shift are explicitly evaluated at order p2 in ChPT. The results clearly demonstrate the necessity to critically reaccess the values of the π N scattering lengths, extracted from the energy-level shift measurement by means of the potential model-based theoretical analysis. (C) 2000 Elsevier Science B.V.

KW - Chiral Perturbation Theory

KW - Hadronic atoms

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