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Title: Lamb shift in muonic hydrogen-II. Analysis of the discrepancy of theory and experiment

Abstract

Research Highlights: > Various theoretical explanation for the recently observed experimental-theoretical discrepancy in the muonic hydrogen Lamb shift are explored. > These include a dip in the proton form factor slope, nonperturbative vacuum polarization and millicharged virtual particles, as well as process-dependent screening corrections. > Screening corrections may need to be explored further. > The need for an alternative determination of the Rydberg constant is highlighted. - Abstract: Currently, both the g factor measurement of the muon as well as the Lamb shift 2S-2P measurement in muonic hydrogen are in disagreement with theory. Here, we investigate possible theoretical explanations, including proton structure effects and small modifications of the vacuum polarization potential. In particular, we investigate a conceivable small modification of the spectral function of vacuum polarization in between the electron and muon energy scales due to a virtual millicharged particle and due to an unstable vector boson originating from a hidden sector of an extended standard model. We find that a virtual millicharged particle which could explain the muonic Lamb shift discrepancy alters theoretical predictions for the muon anomalous magnetic moment by many standard deviations and therefore is in conflict with experiment. Also, we find no parameterizations of an unstablemore » virtual vector boson which could simultaneously explain both 'muonic' discrepancies without significantly altering theoretical predictions for electronic hydrogen, where theory and experiment currently are in excellent agreement. A process-dependent correction involving electron screening is evaluated to have the right sign and order-of-magnitude to explain the observed effect in muonic hydrogen. Additional experimental evidence from light muonic atoms and ions is needed in order to reach further clarification.« less

Authors:
 [1];  [2]
  1. Department of Physics, Missouri University of Science and Technology, Rolla, Missouri, MO 65409 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
21579848
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 326; Journal Issue: 2; Other Information: DOI: 10.1016/j.aop.2010.11.011; PII: S0003-4916(10)00200-9; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; FORM FACTORS; FUNDAMENTAL CONSTANTS; HYDROGEN; IONS; LAMB SHIFT; LANDE FACTOR; MAGNETIC MOMENTS; MUONIC ATOMS; POTENTIALS; QUANTUM ELECTRODYNAMICS; RELATIVISTIC RANGE; SPECTRAL FUNCTIONS; VACUUM POLARIZATION; ATOMS; CHARGED PARTICLES; DIMENSIONLESS NUMBERS; ELECTRODYNAMICS; ELEMENTS; ENERGY RANGE; FIELD THEORIES; FUNCTIONS; NONMETALS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; SPECTRAL SHIFT

Citation Formats

Jentschura, U.D., E-mail: ulj@mst.edu, and National Institute of Standards and Technology, Gaithersburg, Maryland, MD 20899. Lamb shift in muonic hydrogen-II. Analysis of the discrepancy of theory and experiment. United States: N. p., 2011. Web. doi:10.1016/j.aop.2010.11.011.
Jentschura, U.D., E-mail: ulj@mst.edu, & National Institute of Standards and Technology, Gaithersburg, Maryland, MD 20899. Lamb shift in muonic hydrogen-II. Analysis of the discrepancy of theory and experiment. United States. https://doi.org/10.1016/j.aop.2010.11.011
Jentschura, U.D., E-mail: ulj@mst.edu, and National Institute of Standards and Technology, Gaithersburg, Maryland, MD 20899. Tue . "Lamb shift in muonic hydrogen-II. Analysis of the discrepancy of theory and experiment". United States. https://doi.org/10.1016/j.aop.2010.11.011.
@article{osti_21579848,
title = {Lamb shift in muonic hydrogen-II. Analysis of the discrepancy of theory and experiment},
author = {Jentschura, U.D., E-mail: ulj@mst.edu and National Institute of Standards and Technology, Gaithersburg, Maryland, MD 20899},
abstractNote = {Research Highlights: > Various theoretical explanation for the recently observed experimental-theoretical discrepancy in the muonic hydrogen Lamb shift are explored. > These include a dip in the proton form factor slope, nonperturbative vacuum polarization and millicharged virtual particles, as well as process-dependent screening corrections. > Screening corrections may need to be explored further. > The need for an alternative determination of the Rydberg constant is highlighted. - Abstract: Currently, both the g factor measurement of the muon as well as the Lamb shift 2S-2P measurement in muonic hydrogen are in disagreement with theory. Here, we investigate possible theoretical explanations, including proton structure effects and small modifications of the vacuum polarization potential. In particular, we investigate a conceivable small modification of the spectral function of vacuum polarization in between the electron and muon energy scales due to a virtual millicharged particle and due to an unstable vector boson originating from a hidden sector of an extended standard model. We find that a virtual millicharged particle which could explain the muonic Lamb shift discrepancy alters theoretical predictions for the muon anomalous magnetic moment by many standard deviations and therefore is in conflict with experiment. Also, we find no parameterizations of an unstable virtual vector boson which could simultaneously explain both 'muonic' discrepancies without significantly altering theoretical predictions for electronic hydrogen, where theory and experiment currently are in excellent agreement. A process-dependent correction involving electron screening is evaluated to have the right sign and order-of-magnitude to explain the observed effect in muonic hydrogen. Additional experimental evidence from light muonic atoms and ions is needed in order to reach further clarification.},
doi = {10.1016/j.aop.2010.11.011},
url = {https://www.osti.gov/biblio/21579848}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 2,
volume = 326,
place = {United States},
year = {2011},
month = {2}
}