Testing chiral dynamics in pionic atoms

Abstract The energy dependence of chirally expanded πN isoscalar and isovector amplitudes b 0 ( E ) and b 1 ( E ), respectively, for zero-momentum off-shell pions near threshold, is used to impose the minimal substitution requirement E → E − V C on the properly constructed pion optical potential within a large-scale fit to 100 pionic-atom data across the periodic table which also include the recently established ‘deeply bound’ pionic atoms of Pb and Sn. This fit cannot be reconciled with the well-known free-space values of the πN threshold amplitudes. In contrast, introducing the empirically known energy dependence for on-shell pions leads to a better fit and to satisfactory values for the πN threshold amplitudes. The difference between these two approaches is briefly discussed.

• Publication year

  2003

• Venue

  Physics Letters B

• Publication date

  2003-08-11

• Fields of study

  Physics

• Identifiers
  DOI 10.1016/j.physletb.2003.10.035arXiv nucl-th/0308030
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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