Journal article

Publication year: 1981

Pages: 459-495

Journal: Nuclear Physics A: Nuclear and Hadronic Physics

Volume number: 367

Issue number: 3

ISSN: 0375-9474

DOI Link: https://doi.org/10.1016/0375-9474(81)90660-6

Publisher: Elsevier

Abstract: 

A classical many-body model for heavy-ion collisions at high energy has been proposed earlier, and numerical calculations have been reported. An extension to include elementary inelastic pion processes is investigated here. Nucleons are treated as relativistic Dirac particles coupled to the isovector pion field through pseudoscalar γ₅ coupling. Following a Foldy-Wouthuysen transformation, the Heisenberg equations of motion are derived for the expectation values of the relevant operators. The expectation values are taken with respect to a factorized wave function. The factorization ansatz plus the narrow wave packet assumption leads to classical-like equations of motion for the nucléons and the meson field amplitudes. The Δ(3, 3) resonance is qualitatively reproduced. Parameters of the model include the momentum cut-off (i.e. form factor) and the coupling constant. These are adjusted to reproduce isospin-averaged π-nucleon cross sections.

Harvard Citation style: Kunz, J., Babinet, R., Wilets, L. and Mosel, U. (1981) A classical many-body model for nuclear collisions: (IV). Inclusion of the meson field, Nuclear Physics A: Nuclear and Hadronic Physics, 367(3), pp. 459-495. https://doi.org/10.1016/0375-9474(81)90660-6

APA Citation style: Kunz, J., Babinet, R., Wilets, L., & Mosel, U. (1981). A classical many-body model for nuclear collisions: (IV). Inclusion of the meson field. Nuclear Physics A: Nuclear and Hadronic Physics. 367(3), 459-495. https://doi.org/10.1016/0375-9474(81)90660-6