Resolving the $Δ(1232)$ partial width anomaly: Complex pole residue is not a fundamental resonance property
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912387859218432 |
|---|---|
| author | Ceci, Saša Osmanović, Hedim Zauner, Branimir |
| author_facet | Ceci, Saša Osmanović, Hedim Zauner, Branimir |
| contents | The resonant properties of excited hadrons are commonly identified with the complex pole positions and residues of the scattering amplitude. The mass and total decay width are given by position, whereas the partial width is given by the magnitude of the residue. If this identification was correct, the partial width of famous $Δ(1232)$ would be larger than its total width. By using a simple model that predicts residue phases of prominent baryons $N^*$, $Δ$, $Λ$, $Σ$, and low mass mesons, we resolve this anomaly and show that the residue cannot be a fundamental resonant property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resolving the $Δ(1232)$ partial width anomaly: Complex pole residue is not a fundamental resonance property Ceci, Saša Osmanović, Hedim Zauner, Branimir High Energy Physics - Phenomenology High Energy Physics - Theory The resonant properties of excited hadrons are commonly identified with the complex pole positions and residues of the scattering amplitude. The mass and total decay width are given by position, whereas the partial width is given by the magnitude of the residue. If this identification was correct, the partial width of famous $Δ(1232)$ would be larger than its total width. By using a simple model that predicts residue phases of prominent baryons $N^*$, $Δ$, $Λ$, $Σ$, and low mass mesons, we resolve this anomaly and show that the residue cannot be a fundamental resonant property. |
| title | Resolving the $Δ(1232)$ partial width anomaly: Complex pole residue is not a fundamental resonance property |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.16880 |