The $η{-}^3$He scattering length revisited

Details The $η{-}^3$He scattering length revisited The $η{-}^3$He scattering length revisited

2003-10-29

arxiv.org/abs/nucl-th/0310079v2

Eur.Phys.J. A22 (2004) 495-502

Physics

Nuclear Physics

Nuclear Theory

8 pages, 9 figures, accepted for publication in Eur. Phys. J. A

Scientific paper

10.1140/epja/i2003-10239-3

The possible existence of $\eta$-mesic nuclei poses an interesting and still open issue of research. Since the occurence of such $\eta$-nucleus bound states is reflected in the corresponding $\eta$-nucleus scattering length, we critically review the present knowledge for the $\eta$$^3$He system. Specifically, we scrutinize the available experimental information for the reaction $p{+}d \to \eta {+} ^3{\rm He}$ which is commonly used to extract the $\eta$$^3$He scattering length. We point out several striking discrepancies between the various measurements. Subject to those inconsistencies we deduce a value of $a{=}|4.3{\pm}0.3|{+}i(0.5{\pm}0.5)$ fm.

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