The pion-nucleon scattering lengths from pionic deuterium

Abstract

We use the framework of effective field theories to discuss the determination of the S-wave πN scattering lengths from the recent high-precision measurements of pionic deuterium observables. The theoretical analysis proceeds in several steps. Initially, the precise value of the pion-deuteron scattering length a_{πd} is extracted from the data. Next, a_{πd} is related to the S-wave πN scattering lengths a_+ and a_-. We discuss the use of this information for constraining the values of these scattering lengths in the full analysis, which also includes the input from the pionic hydrogen energy shift and width measurements, and throughly investigate the accuracy limits for this procedure. In this paper, we also give a detailed comparison to other effective field theory approaches, as well as with the earlier work on the subject, carried out within the potential model and multiple scattering framework.

The replacement includes an erratum, which is published in Eur. Phys. J. C

References in corpus (5)

• Isospin dependence of the three-nucleon force
• Charge-Symmetry-Breaking Three-Nucleon Forces
• Orthonormalization procedure for chiral effective nuclear field theory
• Kaonic atoms in QCD
• The s-wave pi d scattering length from pi d atom using effective field theory

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• Kaon-nucleon scattering lengths from kaonic deuterium experiments
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• Chiral Dynamics in Photo-Pion Physics: Theory, Experiment, and Future Studies at the HI$\gamma$S Facility
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• Highly charged ion X-rays from Electron-Cyclotron Resonance Ion Sources
• Does the Multiple-scattering Series in the Pion-deuteron Scattering Actually Converge?
• Kaon-deuteron femtoscopy from unitarized chiral interactions
• Short-Range Hard-Sphere Potential and Coulomb Interaction: Deser-Trueman Formula for Rydberg States of Exotic Atomic Systems
• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• Accessing the deuteron source with pion-deuteron femtoscopy in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
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