Constraining neutron-proton effective mass splitting through nuclear giant dipole resonance within transport approach
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| Format: | Preprint |
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2025
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| _version_ | 1866911653658886144 |
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| author | Song, Yi-Dan Luo, Min-Si Wang, Rui Zhang, Zhen Ma, Yu-Gang |
| author_facet | Song, Yi-Dan Luo, Min-Si Wang, Rui Zhang, Zhen Ma, Yu-Gang |
| contents | Based on the Boltzmann-Uehling-Uhlenbeck equation, we investigate the effects of the isovector nucleon effective mass $m^*_{v,0}$ and the in-medium nucleon-nucleon cross section $σ^*$ on the isovector giant dipole resonance~(IVGDR) in $^{208}{\rm Pb}$, employing a set of representative Skyrme energy density functionals. We find that the energy-weighted sum rule $m_1$ of the IVGDR is highly sensitive to $m^{*}_{v,0}$ and only mildly dependent on $σ^*$, while the width $Γ$ of the IVGDR is primarily governed by $σ^*$ with a moderate sensitivity to $m^*_{v,0}$. From a Bayesian analysis of both $m_1$ and $Γ$, we infer the isovector effective mass $m^{*}_{v,0}/m$ = $0.731^{+0.027}_{-0.023}$, where $m$ is the bare nucleon mass. Furthermore, by incorporating the isoscalar effective mass $m^*_{s,0}/m = 0.820 \pm 0.030$, extracted from the isoscalar giant quadrupole resonance in $^{208}{\rm Pb}$, the linear neutron-proton effective mass splitting coefficient at saturation density $ρ_0$ is determined to be $Δm^*_1 (ρ_0)/m = 0.200 ^{+0.101}_{-0.094}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_21880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constraining neutron-proton effective mass splitting through nuclear giant dipole resonance within transport approach Song, Yi-Dan Luo, Min-Si Wang, Rui Zhang, Zhen Ma, Yu-Gang Nuclear Theory Nuclear Experiment Based on the Boltzmann-Uehling-Uhlenbeck equation, we investigate the effects of the isovector nucleon effective mass $m^*_{v,0}$ and the in-medium nucleon-nucleon cross section $σ^*$ on the isovector giant dipole resonance~(IVGDR) in $^{208}{\rm Pb}$, employing a set of representative Skyrme energy density functionals. We find that the energy-weighted sum rule $m_1$ of the IVGDR is highly sensitive to $m^{*}_{v,0}$ and only mildly dependent on $σ^*$, while the width $Γ$ of the IVGDR is primarily governed by $σ^*$ with a moderate sensitivity to $m^*_{v,0}$. From a Bayesian analysis of both $m_1$ and $Γ$, we infer the isovector effective mass $m^{*}_{v,0}/m$ = $0.731^{+0.027}_{-0.023}$, where $m$ is the bare nucleon mass. Furthermore, by incorporating the isoscalar effective mass $m^*_{s,0}/m = 0.820 \pm 0.030$, extracted from the isoscalar giant quadrupole resonance in $^{208}{\rm Pb}$, the linear neutron-proton effective mass splitting coefficient at saturation density $ρ_0$ is determined to be $Δm^*_1 (ρ_0)/m = 0.200 ^{+0.101}_{-0.094}$. |
| title | Constraining neutron-proton effective mass splitting through nuclear giant dipole resonance within transport approach |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2507.21880 |