Roles of $Δ(1232)$, $N^*(1520)$, and $N^*(1650)$ resonances in $γp\to π^0 π^0 p$ reaction within an effective Lagrangian approach
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917903180234752 |
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| author | Dai, Meng-Yuan Liu, Si-Wei Chen, Cheng Li, De-Min Wang, En Xie, Ju-Jun |
| author_facet | Dai, Meng-Yuan Liu, Si-Wei Chen, Cheng Li, De-Min Wang, En Xie, Ju-Jun |
| contents | Roles of the $Δ(1232)$, ${N}^{*}(1520)$, and ${N}^{*}(1650)$ resonances in the $γp\to{π}^{0}{π}^{0}p $ reaction near threshold is investigated within an effective Lagrangian approach. We have calculated the differential cross sections of the $γp\to{π}^{0}{π}^{0}p$ reaction by including the contributions from the $Δ(1232)$, ${N}^{*}(1520)$, and ${N}^{*}(1650)$ intermediate states decaying into $π^0 p$ via the $s$-channel nucleon pole and $t$-channel $ρ$ exchange, and found that the current experimental measurements can be well reproduced. The production of $Δ(1232)$ is mainly from the mechanism of the $s$-channel nucleon pole, while the ${N}^{*}(1520)$ and ${N}^{*}(1650)$ are produced from the mechanism of the $t$-channel $ρ$ exchange. It is expected that more experimental data on the $γp \to π^0 π^0 p$ reaction can be used to explore the properties of the low-lying excited baryon states and also the scalar $f_0(500)$ and $f_0(980)$ mesons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15153 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Roles of $Δ(1232)$, $N^*(1520)$, and $N^*(1650)$ resonances in $γp\to π^0 π^0 p$ reaction within an effective Lagrangian approach Dai, Meng-Yuan Liu, Si-Wei Chen, Cheng Li, De-Min Wang, En Xie, Ju-Jun High Energy Physics - Phenomenology Nuclear Theory Roles of the $Δ(1232)$, ${N}^{*}(1520)$, and ${N}^{*}(1650)$ resonances in the $γp\to{π}^{0}{π}^{0}p $ reaction near threshold is investigated within an effective Lagrangian approach. We have calculated the differential cross sections of the $γp\to{π}^{0}{π}^{0}p$ reaction by including the contributions from the $Δ(1232)$, ${N}^{*}(1520)$, and ${N}^{*}(1650)$ intermediate states decaying into $π^0 p$ via the $s$-channel nucleon pole and $t$-channel $ρ$ exchange, and found that the current experimental measurements can be well reproduced. The production of $Δ(1232)$ is mainly from the mechanism of the $s$-channel nucleon pole, while the ${N}^{*}(1520)$ and ${N}^{*}(1650)$ are produced from the mechanism of the $t$-channel $ρ$ exchange. It is expected that more experimental data on the $γp \to π^0 π^0 p$ reaction can be used to explore the properties of the low-lying excited baryon states and also the scalar $f_0(500)$ and $f_0(980)$ mesons. |
| title | Roles of $Δ(1232)$, $N^*(1520)$, and $N^*(1650)$ resonances in $γp\to π^0 π^0 p$ reaction within an effective Lagrangian approach |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2501.15153 |