Novel approach to pion and eta production in proton-proton collisions nearthreshold

Citation
V. Bernard et al., Novel approach to pion and eta production in proton-proton collisions nearthreshold, EUR PHY J A, 4(3), 1999, pp. 259-275
Citations number
44
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL A
ISSN journal
14346001 → ACNP
Volume
4
Issue
3
Year of publication
1999
Pages
259 - 275
Database
ISI
SICI code
1434-6001(199903)4:3<259:NATPAE>2.0.ZU;2-4
Abstract
We evaluate the threshold matrix-element for the reaction pp --> pp pi(0) i n a fully relativistic Feynman diagrammatic approach. We employ a simple ef fective range approximation to take care of the S-wave pp final-state inter action. The experimental value for the threshold amplitude A = (2.7 - i0.3) fm(4) can be reproduced by contributions from tree level chiral (long-rang e) pion exchange and short-range effects related to vector meson exchanges, with w-exchange giving the largest individual contribution. Pion loop effe cts appear to be small. We stress that the commonly used heavy baryon forma lism is not applicable in the NN-system above the pion production threshold due to the large external momentum, \p\similar or equal to root Mm( pi) wi th M and m(pi) the nucleon and the pion mass, respectively. We furthermore investigate the reaction pp --> pn pi(+) near threshold within the same app roach. We extract from the data the triplet threshold amplitude as B = (2.8 - i 1.5) fm(4). Its real part can be well understood from (relativistic) t ree level meson-exchange diagrams. In addition, we investigate the process pp --> pp eta near threshold. We use a simple factorization ansatz for the pp eta final-state interaction and extract from the data the modulus of the threshold amplitude, \C\ = 1.32 fm(4). With g(eta)N = 5.3, this value can be reproduced by (relativistic) tree level meson-exchange diagrams and eta- rescattering, whose strength is fixed by the eta N scattering length. We al so comment on the recent near threshold data for eta'-production.