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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title = "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.",

keywords = "Chiral Perturbation Theory, Hadronic atoms, Non-relativistic effective Lagrangians",

author = "Lyubovitskij, {V. E.} and A. Rusetsky",

year = "2000",

month = nov,

day = "23",

doi = "10.1016/S0370-2693(00)01185-0",

language = "English",

volume = "494",

pages = "9--18",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "1-2",

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TY - JOUR

T1 - π- p atom in ChPT

T2 - Strong energy-level shift

AU - Lyubovitskij, V. E.

AU - Rusetsky, A.

PY - 2000/11/23

Y1 - 2000/11/23

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

KW - Non-relativistic effective Lagrangians

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DO - 10.1016/S0370-2693(00)01185-0

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VL - 494

SP - 9

EP - 18

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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