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Scattering of vector mesons off nucleons

โœ Scribed by M.F.M. Lutz; Gy. Wolf; B. Friman


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
770 KB
Volume
706
Category
Article
ISSN
0375-9474

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โœฆ Synopsis


We construct a relativistic and unitary approach to 'high' energy pion-and photon-nucleon reactions taking the ฯ€N, ฯ€โˆ†, ฯN, ฯ‰N, ฮทN, Kฮ›, Kฮฃ final states into account. Our scheme dynamically generates the s-and d-wave nucleon resonances N(1535), N(1650) and N( ) and isobar resonances โˆ†(1620) and โˆ†(1700) in terms of quasi-local interaction vertices. The description of photon-induced processes is based on a generalized vector-meson dominance assumption which directly relates the electromagnetic quasi-local four-point interaction vertices to the corresponding vertices involving the ฯ and ฯ‰ fields. We obtain a satisfactory description of the elastic and inelastic pion-and photon-nucleon scattering data in the channels considered. The resulting s-wave ฯ-and ฯ‰-nucleon scattering amplitudes are presented. Using these amplitudes we compute the leading density modification of the ฯ and ฯ‰ energy distributions in nuclear matter. We find a repulsive energy shift for the ฯ‰ meson at small nuclear density but predict considerable strength in resonance-hole like ฯ‰-meson modes. Compared to previous calculations our result for the ฯ-meson spectral function shows a significantly smaller in-medium effect. This reflects a fairly small coupling strength of the N(1520) resonance to the ฯN channel.


๐Ÿ“œ SIMILAR VOLUMES


On invariant amplitudes for the vector m
โœ M. Sewerynski ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 750 KB

And it is found that both sets lead to invariant amplitudes which are not kinematical singularity and zero free. where the K,(p)-standard covariants carry spin-tensorial indices and are polynomial in the four-vectors p = (pl ,...,pn ) [9]. The invariant amplitudes Ai( which are functions of the ind