Table A.1
Times over which specific optical electron-scattering broadened emission lines are present in the model spectra computed for our 27 ejecta and CSM configurations characterized by different values of Ekin, Ṁ, and Rcsm.
| Ekin [foe] | ![Mathematical equation: $\mathop {\rm{M}}\limits^. \left[ {{M_ \odot }{\rm{y}}{{\rm{r}}^{ - 1}}} \right]$](/articles/aa/full_html/2026/03/aa57770-25/aa57770-25-eq3.png) |
RCSM [1014 cm] | IIn phase | He 15875.66Å | He ii 4685.70Å | C iii 5695.92Å | C iv 5804.86Å | “N iii-C iii” | N iv 7109.35Å | N v 4612.72Å | O v 5597Å | O vi 3820Å |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.6 | 0.001 | 2 | ≤2.1 | … | [0.3-1.7] | … | [0.8-13] | [1.0-1.7] | [0.8-1.2] | [0.6-0.7] | 0.3∕0.7 | 0.5 |
| 0.6 | 0.001 | 6 | ≤3.8 | … | [0.3-2.3] | [1.5-2.2] | [0.7-1.2] | [1.0-2.0] | [0.8-1.0] | 0.6 | 0.6 | 0.5 |
| 0.6 | 0.001 | 10 | ≤5.2 | … | [0.5-2.0] | … | [0.5-1.0] | [1.0-2.0] | [0.8-1.0] | [0.5-0.7] | [0.5-0.7] | 0.5 |
| 0.6 | 0.01 | 2 | ≤3.2 | … | [0.6-3.0] | … | 0.6∕[2.0-2.5] | 0.6∕2.5 | 0.6∕[2.0-2.5] | [1.0-2.0] | [1.0-1.7] | [1.0-1.4] |
| 0.6 | 0.01 | 6 | ≤8.8 | [4.0-6.7] | [1.0-6.7] | [4.0-6.7] | [1.3-3.5] | 1.0∕[3.3-5.0] | [L3-3.3] | 2.0 | … | … |
| 0.6 | 0.01 | 10 | >15.0 | 1.3∕[4.0-12.0] | [1.3-6.0] | [5.0-7.0] | [1.7-3.3] | [1.3-6.0] | … | … | … | … |
| 0.6 | 0.1 | 2 | ≤4.7 | 2.0 | [2.0-4.5] | 2.0 | 2.2∕[3.8-4.3] | [2.0-2.3] | [2.0-2.4]∕[3.8-4.3] | [2.3-3.8] | [2.3-3.5]∕3.3 | [2.6-3.3] |
| 0.6 | 0.1 | 6 | ≤14.9 | [4.2-5.0]∕[11.5-13.3] | [5.0-11.5] | 5.0/11.5 | [5.8-10.0] | [5.0-11.5] | [5.8-10.0] | 5.8∕7.5 | [7.5-9.0] | … |
| 0.6 | 0.1 | 10 | >15.0 | [6.0-10.0] | [10.0-15.0] | [10.0-15.0] | [11.6-15.0] | 10.0-15.0] | … | … | … | … |
| 1.2 | 0.001 | 2 | ≤1.4 | … | [03-1.4] | … | [0.7-1.3] | [0.8-1.2] | [0.5-0.7] | [0.5-0.7] | 0.5 | |
| 1.2 | 0.001 | 6 | ≤2.7 | … | [0.3-2.7] | [1.6-2.3] | [0.8-1.2] | [1.0-2.0] | [0.7-1.2] | [0.5-0.7] | [0.5-0.7] | 0.5 |
| 1.2 | 0.001 | 10 | ≤3.7 | … | [0.3-2.7] | … | [0.8-1.2] | [1.0-2.5] | [0.8-1.0] | [0.5-0.8] | [0.5-0.8] | 0.5 |
| 1.2 | 0.01 | 2 | ≤2.3 | … | [0.5-2.2] | … | [0.5-1.7]∕[1.5-2.2] | 0.5∕[2.0-2.2] | 0.7∕[1.8-2.2] | [0.7-1.7] | [0.8-L 刀 | [1.0-1.4] |
| 1.2 | 0.01 | 6 | ≤6.3 | [0.7-0.8]∕[5.0-6.0] | [0.7-5.5] | [5.0-5.5] | [1.2-3.3] | 0.8∕[3.3-5.0] | [1.2-3.3] | 1.7 | … | … |
| 1.2 | 0.01 | 10 | ≤11.7 | 1.2∕[5.0-10.0] | [1.2-6.7] | [5.0-7.0] | [L3-3.3] | [33-5.0] | [1.7-3.3] | … | … | … |
| 1.2 | 0.1 | 2 | ≤3.2 | 1.5 | [1.8-3.0] | … | [3.0-3.3] | 1.5 | [32-3.3] | 1.8∕[2.6-3.0] | 1.8∕[2.6-3.0] | [1.8-2.7] |
| 1.2 | 0.1 | 6 | ≤10.9 | 4.2/10.0 | [4.2-10.0] | 4.2/10.0 | [5.0-8.3] | 4.2∕[8.3-9.2] | 5.0∕[7.5-8.3] | [5.0-6.7] | [5.0-7.5] | 5.8 |
| 1.2 | 0.1 | 10 | >15.0 | [5.0-6.7] | [6.7-15.0] | 6.7 | [7.5-13.3] | [6.7-15.0] | [8.3-13.3] | … | … | … |
| 1.8 | 0.001 | 2 | ≤1.1 | … | [0.1-1.0] | [0.6-0.8] | [0.6-1.0] | [0.6-1.0] | [0.5-0.7] | [0.5-0.7] | 0.3 | |
| 1.8 | 0.001 | 6 | ≤2.1 | … | [0.3-2.0] | 0.8 | [0.7-1.2] | [1.2-2.0] | [0.7-0.8] | [0.5-0.7] | [0.5-0.7] | [0.3-0.5] |
| 1.8 | 0.001 | 10 | ≤2.9 | … | [0.3-2.0] | … | [0.7-1.0] | [1.0-2.5] | [0.7-1.0] | [0.5-0.7] | [0.5-0.7] | 0.3 |
| 1.8 | 0.01 | 2 | ≤1.8 | … | [0.5-1.7] | … | [1.5-1.8] | [1.7-1.8] | [0.5-1.5] | 0.5∕[1.3-1.5] | [0.5-1.2] | |
| 1.8 | 0.01 | 6 | ≤5.0 | … | [L2-5.0] | … | [1.2-3.3] | [3.3-4.2] | [2.0-3.3] | [1.2-2.0] | [1.2-3.3] | 1.5 |
| 1.8 | 0.01 | 10 | ≤9.4 | [5.0-9.0] | [1.3-7.5] | [5.0-7.5] | [1.3-4.2] | [2.5-8.3] | [L3-3.3] | [1.3-2.0] | … | … |
| 1.8 | 0.1 | 2 | ≤2.5 | … | [13-2.3] | … | 1.3∕2.7 | … | 1.3 | 1.3 | 2.3 | [1.7-2.0] |
| 1.8 | 0.1 | 6 | ≤8.6 | … | [3.3-8.3] | 8.3 | [3.3-7.5] | 3.3∕[7.5-8.3] | [6.7-7.5] | [4.2-5.8] | 4.2∕5.8 | 5.0 |
| 1.8 | 0.1 | 10 | >15.0 | 5.0/15.0 | [6.7-15.0] | [13.0-15.0] | [6.7-13.3] | [10.0-15.0] | [6.7-11.7] | [8.3-10.0] | [8.3-10.0] | … |
Notes: All times (or epochs) are in days since the SN shock crosses R* in the HERACLES simulation. “NIII-C III” corresponds to the blend of multiplets due to both N III and C III and in particular N III 4640.64 Å and C III 4647.42 Å. “[a –b]” means that a given line is present between epochs a and b. “a∕b” means that the line was present at time a and time b, but not in between. A single quoted epoch implies the corresponding line was present in only one of the computed spectra (and thus absent before and after).
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