摘要

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 extens ion 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. With in 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).

  • 出版日期2010-2-28

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