Isospin-dependent in-medium nucleon-Delta elastic cross section
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914814493720576 |
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| author | Nan, Manzi Li, Pengcheng Wang, Yongjia Li, Qingfeng Zuo, Wei |
| author_facet | Nan, Manzi Li, Pengcheng Wang, Yongjia Li, Qingfeng Zuo, Wei |
| contents | In heavy-ion collisions at intermediate energies, the production and propagation of $Δ$ particles are crucial to understanding the nuclear equation of state and inferring the properties of nuclear matter at high densities. Based on the self-consistent relativistic Boltzmann-Uehling-Uhlenbeck (RBUU) transport theory, by introducing the isovector $ρ$ meson exchange into the effective Lagrangian and adopting the density-dependent coupling constants, the detailed expressions for isospin-dependent in-medium $NΔ\rightarrow NΔ$ elastic cross sections $σ_{NΔ}^{*}$ have been calculated. The energy and density dependence of the isospin-related $σ_{NΔ}^{*}$ as well as the total contributions of $σ$, $ω$ and $ρ$ meson fields are analyzed. It is found that the total $σ_{NΔ}^{*}$ has a sensitive center-of-mass energy dependence at lower energies while exhibiting a slight increase as the center-of-mass energy increases. The isospin effect between different isospin-separated channels weakens as the energy and/or density increases. The isospin effect on the density- and energy-dependent in-medium $NΔ$ elastic cross sections is dominantly caused by the delicate balance of the isovector $ρ$ meson exchange. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15716 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Isospin-dependent in-medium nucleon-Delta elastic cross section Nan, Manzi Li, Pengcheng Wang, Yongjia Li, Qingfeng Zuo, Wei Nuclear Theory In heavy-ion collisions at intermediate energies, the production and propagation of $Δ$ particles are crucial to understanding the nuclear equation of state and inferring the properties of nuclear matter at high densities. Based on the self-consistent relativistic Boltzmann-Uehling-Uhlenbeck (RBUU) transport theory, by introducing the isovector $ρ$ meson exchange into the effective Lagrangian and adopting the density-dependent coupling constants, the detailed expressions for isospin-dependent in-medium $NΔ\rightarrow NΔ$ elastic cross sections $σ_{NΔ}^{*}$ have been calculated. The energy and density dependence of the isospin-related $σ_{NΔ}^{*}$ as well as the total contributions of $σ$, $ω$ and $ρ$ meson fields are analyzed. It is found that the total $σ_{NΔ}^{*}$ has a sensitive center-of-mass energy dependence at lower energies while exhibiting a slight increase as the center-of-mass energy increases. The isospin effect between different isospin-separated channels weakens as the energy and/or density increases. The isospin effect on the density- and energy-dependent in-medium $NΔ$ elastic cross sections is dominantly caused by the delicate balance of the isovector $ρ$ meson exchange. |
| title | Isospin-dependent in-medium nucleon-Delta elastic cross section |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2312.15716 |