The influence of $\delta$ meson on the isospin splitting of in-medium $NN\to N\Delta$ cross sections

Abstract

The isospin splitting of the in-medium $NN\to N\Delta$ cross sections in asymmetric nuclear medium are investigated in the framework of the one-boson exchange model by including $\delta$ and $\rho$ mesons. Our results show that the medium correction factors $R={\sigma }_{NN\to N\Delta }^{\ast }/{\sigma }_{NN\to N\Delta }^{\text{free}}$ have $R_{pp\to n{\Delta }^{++}}<R_{nn\to p{\Delta }^{-}}$ and $R_{NN\to N{\Delta }^{+}}<R_{NN\to N{\Delta }^0}$ by using the without-$\delta$ sets. By including the $\delta$ meson, it appears the totally opposite results in the $R$ for different channels, i.e., $R_{pp\to n{\Delta }^{++}}>R_{nn\to p{\Delta }^{-}}$ and $R_{NN\to N{\Delta }^{+}}>R_{NN\to N{\Delta }^0}$.

arXiv comment15 pages, 4 figures

References in corpus (13)

• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Nuclear Stopping as A Probe to In-medium Nucleon-nucleon Cross Section in Intermediate Energy Heavy Ion Collisions
• In-medium effects for nuclear matter in the Fermi energy domain
• Medium effects on pion production in heavy ion collisions
• The N N -> N Delta cross section in nuclear matter
• Isospin Dependence of Nucleon-Nucleon Elastic Cross Section
• Neutron stars with isovector scalar correlations
• Quenching of resonance production in heavy-ion collisions at 1-2 A GeV
• The isospin dependent nucleon-nucleon inelastic cross section in the nuclear medium
• Isospin effects on rotational flow in intermediate energy heavy ion collisions
• Influence of differential elastic nucleon-nucleon cross section on stopping and collective flows in heavy-ion collisions at intermediate energies
• Effect of energy conservation on in-medium $\mbox{NN}\to \mbox{N}Δ$ cross section in isospin-asymmetric nuclear matter
• In-medium $\mbox{NN}\to \mbox{N}Δ$ cross section and its dependence on effective Lagrange parameters in isospin-asymmetric nuclear matter

Cited by in corpus (1)

• Charged pion production from Au + Au collisions at $\sqrt{s_{NN}}=2.4$ GeV in the Relativistic Vlasov-Uehling-Uhlenbeck model