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 $R_{NN\to N{\Delta }^{+}}>R_{NN\to N{\Delta }^0}$.

15 pages, 4 figures

References in corpus (2)

• In-medium effects for nuclear matter in the Fermi energy domain
• Influence of differential elastic nucleon-nucleon cross section on stopping and collective flows in heavy-ion collisions at intermediate energies

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