Chiral corrections to the isovector double scattering term for the pion-deuteron scattering length

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Abstract

The empirical value of the real part of the pion-deuteron scattering length can be well understood in terms of the dominant isovector [Formula Presented] double scattering contribution. We calculate in chiral perturbation theory all one-pion loop corrections to this double scattering term which in the case of [Formula Presented] scattering close the gap between the current-algebra prediction and the empirical value of the isovector threshold T-matrix [Formula Presented] In addition to closing this gap, there is in the [Formula Presented] system a loop-induced off-shell correction for the exchanged virtual pion. Its coordinate space representation reveals that it is equivalent to [Formula Presented] exchange in the deuteron. We evaluate the chirally corrected double scattering term and the off-shell contribution with various realistic deuteron wave functions. We find that the off-shell correction contributes at most [Formula Presented] and that the isovector double scattering term explains at least 90% of the empirical value of the real part of the [Formula Presented]-scattering length.

Original languageEnglish
Pages (from-to)3
Number of pages1
JournalPhysical Review C - Nuclear Physics
Volume65
Issue number5
DOIs
StatePublished - 2002

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