A new two-body relativistic potential model for pionic hydrogen

Abstract

The new potential model for pionic hydrogen, constructed with the employment of the two-body relativistic equation, is offered. The relativistic equation, based on the extension of the $SL(2,C)$ group to the $Sp(4,C)$ one, describes the effect of the proton spin and anomalous magnetic moment in accordance with the results of the quantum electrodynamics. Within this approach, using the experimental data on the strong energy level shift and width of the $1s$ state in pionic hydrogen as input, the pion-nucleon scattering lengths have been evaluated to be $a_{{\pi }^{-}p}=0.0860(6)m_{\pi }^{-1}$ and $a_{{\pi }^{0}n}=-0.1223(19)m_{\pi }^{-1}$.

14 pages, no figures

References in corpus (6)

• Relativistic two-body equation based on the extension of the SL(2,C) group
• Determination of the s-wave pion-nucleon threshold scattering parameters from the results of experiments on pionic hydrogen
• On extracting information about hadron-nuclear interaction from hadronic atom level shifts
• Workshop on exotic hadronic atoms, deeply bound kaonic nuclear states and antihydrogen: present results, future challenges
• Breit type equation for mesonic atoms
• A new approach to the relativistic treatment of the fermion-boson system, based on the extension of the SL(2,C) group

Cited by in corpus (1)

• Breit Equation with Form Factors in the Hydrogen Atom