The N N -> N Delta cross section in nuclear matter

Abstract

We present calculations of the N N -> N Delta cross section in nuclear matter within the one-pion exchange model taking into account pion collectivity, vertex renormalization by the contact nuclear interactions and Dirac effective masses of the baryons due to coupling with the scalar sigma field. Introducing the Dirac effective masses leads to an in-medium reduction of the cross section. The experimental data on pion multiplicities from the collisions of Ca+Ca, Ru+Ru and Au+Au at 0.4-1.5 A GeV are well described by BUU calculations with the in-medium cross section.

45 pages, 18 figures, minor style corrections, version to appear in Nucl. Phys. A

References in corpus (2)

• Hadronic observables from SIS to SPS energies - anything strange with strangeness ?
• Off-shell pions in Boltzmann-Uehling-Uhlenbeck transport theory

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