Can one extract the pi-neutron scattering length from pi-deuteron scattering?

Abstract

We give a prove of evidence that the original power counting by Weinberg can be applied to estimate the contributions of the operators contributing to the pi-deuteron scattering length. As a consequence, pi-deuteron observables can be used to extract neutron amplitudes--in case of pi-deuteron scattering this means that the pi-neutron scattering length can be extracted with high accuracy. This result is at variance with recent claims. We discuss the origin of this difference.

9 pages, 4 figures

References in corpus (5)

• Renormalization of One-Pion Exchange and Power Counting
• Precision calculation of $\gamma d\to {\pi }^{+}nn$ within chiral perturbation theory
• The pion-nucleon scattering lengths from pionic deuterium
• Using chiral perturbation theory to extract the neutron-neutron scattering length from pi- d -> n n gamma
• Improved analysis of neutral pion electroproduction off deuterium in chiral perturbation theory

Cited by in corpus (19)

• Hadronic molecules
• Chiral Perturbation Theory and Baryon Properties
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• Two-photon decays of hadronic molecules
• Isospin-breaking corrections in the pion-deuteron scattering length
• Note on X(3872) production at hadron colliders and its molecular structure
• Generalization of Weinberg's Compositeness Relations
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Deuteron form factors in chiral effective theory: regulator-independent results and the role of two-pion exchange
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Production of exotic hadrons in $pp$ and nuclear collisions
• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• Effective Field Theory calculations of $NN\to NN\pi$
• Deuteron Matrix Elements in Chiral Effective Theory at Leading Order
• Perturbative Calculations of Deuteron Form Factors
• Deuteron radial moments for renormalized chiral potentials
• Radiative decays of hadronic molecules: From confusion to inspiration