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Chiral corrections to the isovector double scattering term for the pion-deuteron scattering length | | N. Kaiser
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2 Mar 2002 | | Journal: | Phys.Rev. C65 (2002) 057001 | | Subject: | nucl-th | | Abstract: | The empirical value of the real part of the pion-deuteron scattering length can be well understood in terms of the dominant isovector $pi N$-double scattering contribution. We calculate in chiral perturbation theory all one-pion loop corrections to this double scattering term which in the case of $pi N$-scattering close the gap between the current-algebra prediction and the empirical value of the isovector threshold T-matrix $T_{pi N}^-$. In addition to closing this gap there is in the $pi d$-system a loop-induced off-shell correction for the exchanged virtual pion. Its coordinate space representation reveals that it is equivalent to $2pi$-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 -8% and that the isovector double scattering term explains at least 90% of the empirical value of the real part of the $pi d$-scattering length. | | Source: | arXiv, nucl-th/0203001 | | Services: | Forum | Review | PDF | Favorites | |
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