Recognition: 2 theorem links
· Lean TheoremRevisiting the Perseus Cluster II: Metallicity-Dependence of Massive Stars and Chemical Enrichment History
Pith reviewed 2026-05-15 18:45 UTC · model grok-4.3
The pith
Metallicity-dependent core-collapse supernova models reproduce the Si-group and Fe-group abundances observed in the Perseus Cluster when used in galactic chemical evolution calculations.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
By extending stellar models across metallicities, the authors show that their metallicity-dependent CCSN yields, when used in a parameter survey of galactic chemical evolution, produce configurations that simultaneously reproduce the Si-group and Fe-group abundance pattern observed by Hitomi in the Perseus Cluster.
What carries the argument
Metallicity-dependent nucleosynthesis yields from core-collapse supernova models for 15-60 solar mass stars, fed into a single-zone galactic chemical evolution calculation to fit observed cluster abundances.
If this is right
- The best-fit models indicate specific relative contributions from massive stars and Type Ia supernovae that depend on the metallicity assumed for the progenitors.
- Production of elements like manganese and nickel is particularly sensitive to the metallicity of the exploding stars.
- Surveys show that different literature yield tables require different supernova rate ratios to achieve similar fits to the Perseus data.
- Odd-Z elements provide additional constraints on the explosion physics at low metallicity.
Where Pith is reading between the lines
- If correct, these yields could be applied to model the chemical evolution of the Milky Way or other galaxies with similar success.
- Future observations of abundance patterns in clusters at higher redshift could test the predicted metallicity evolution.
- Including effects of binary stars or inhomogeneous mixing might change the inferred supernova contributions.
Load-bearing premise
The galactic chemical evolution model assumes a single, well-mixed reservoir whose enrichment is controlled only by the relative rates of CCSNe and Type Ia supernovae.
What would settle it
A precise measurement of the chromium or manganese abundance in a galaxy cluster with a significantly different average metallicity that does not match the model's predicted trend would falsify the reproduction claim.
Figures
read the original abstract
The legacy Hitomi telescope has delivered the precise measurements of the chemical abundances in the Perseus Cluster, covering the Si-group (Si, S, Ar, Ca) and Fe-group elements (Cr, Mn, Ni). In Paper I (Leung et al., ApJ 2025), we examined the role of convection parameters and presented new core-collapse supernova (CCSN) explosion models at solar metallicity, which fit the observed abundance pattern. In this article, we extend our calculation for the stellar evolutionary models and CCSN models of the initial mass $15 - 60M_{\odot}$ and the metallicity $Z = 0 - Z_{\odot}$. The detailed pre- and post-explosion chemical profiles are calculated with a large post-processing network to capture the production of $\alpha$-chain elements (e.g., Si, S, Ar), odd-number elements (e.g., P, K, Cl), and iron-group elements (e.g., Mn, Ni). We study the role of CCSNe in the production of these elements. We compare the galactic chemical evolution model based on the nucleosynthesis yield of the new massive stars and other yield tables from the literature. For each supernova yield, we perform parameter surveys and search for configurations that produce the best-fit model and best-rate model using the Perseus Cluster as the reference. From the survey, we study how individual chemical elements affect the contributions of massive stars and Type Ia supernovae in the cosmic chemical enrichment
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper extends CCSN explosion models to initial masses 15-60 M⊙ and metallicities Z=0 to Z⊙, computing detailed pre- and post-explosion chemical profiles with a large post-processing network for α-chain, odd-Z, and iron-group elements. These new metallicity-dependent yields are inserted into one-zone galactic chemical evolution calculations; parameter surveys over the CCSN/SN Ia rate ratio and convection parameters are used to identify best-fit and best-rate configurations that reproduce the Si-group (Si, S, Ar, Ca) and Fe-group (Cr, Mn, Ni) abundance patterns measured by Hitomi in the Perseus Cluster, with comparisons to literature yield tables.
Significance. If the central claim holds after addressing the fitting and modeling assumptions, the work would establish that metallicity-dependent CCSN yields can simultaneously account for both Si-group and Fe-group ratios in a cluster environment, providing a concrete test of how massive-star nucleosynthesis varies with Z and quantifying the relative CCSN versus SN Ia contributions to cosmic enrichment. The tabulated yields across a metallicity grid would constitute a reusable resource for GCE studies.
major comments (2)
- [§4] §4 (parameter-survey description): the best-fit and best-rate models are obtained by tuning the CCSN/SN Ia rate ratio and convection parameters directly against the Perseus Cluster abundances that are also the target of the fit; this circularity means the reported agreement does not constitute an independent validation of the new yields.
- [GCE model section] GCE model section: the calculation assumes a single, well-mixed, closed-box reservoir whose enrichment is controlled solely by the relative CCSN and SN Ia rates. No test is presented of whether spatial inhomogeneity, multi-galaxy contributions, or late-time mixing in the Perseus ICM would alter the inferred rate ratio or the claimed superiority of the new Z-dependent yields.
minor comments (2)
- [Abstract] Abstract: the distinction between 'best-fit model' and 'best-rate model' is not defined; a one-sentence clarification would improve readability.
- [Throughout] Notation: ensure uniform use of Z⊙ versus Z = 0 – Z⊙ and consistent mass-range formatting throughout the text and tables.
Simulated Author's Rebuttal
We are grateful to the referee for their thorough review and insightful comments on our manuscript. We have carefully considered each point and provide our responses below, along with indications of revisions to the manuscript.
read point-by-point responses
-
Referee: [§4] §4 (parameter-survey description): the best-fit and best-rate models are obtained by tuning the CCSN/SN Ia rate ratio and convection parameters directly against the Perseus Cluster abundances that are also the target of the fit; this circularity means the reported agreement does not constitute an independent validation of the new yields.
Authors: We agree that the parameter survey identifies best-fit and best-rate configurations by tuning the CCSN/SN Ia rate ratio and convection parameters against the Perseus Cluster abundances. The intent is to perform a consistent, side-by-side comparison of our new metallicity-dependent yields with literature tables under identical fitting procedures, rather than to claim an independent or blind validation. We have revised §4 to explicitly state this purpose and to clarify that the exercise demonstrates the viability of the new yields within the same modeling framework used for other yield sets. revision: partial
-
Referee: [GCE model section] GCE model section: the calculation assumes a single, well-mixed, closed-box reservoir whose enrichment is controlled solely by the relative CCSN and SN Ia rates. No test is presented of whether spatial inhomogeneity, multi-galaxy contributions, or late-time mixing in the Perseus ICM would alter the inferred rate ratio or the claimed superiority of the new Z-dependent yields.
Authors: The one-zone closed-box GCE model is a standard simplification employed to isolate the effects of yield variations on integrated abundances. We acknowledge that this framework does not incorporate spatial inhomogeneities, multi-galaxy contributions, or late-time mixing within the Perseus ICM. The Perseus Cluster data represent volume-integrated measurements, and the model serves as a baseline for yield comparisons. We have expanded the GCE model section to discuss these assumptions and their potential influence on the inferred rate ratios. revision: yes
Circularity Check
GCE parameter survey tunes to Perseus data; claimed reproduction is by construction
specific steps
-
fitted input called prediction
[Abstract]
"For each supernova yield, we perform parameter surveys and search for configurations that produce the best-fit model and best-rate model using the Perseus Cluster as the reference."
The survey explicitly optimizes the relative CCSN and Type Ia contributions (and any other free parameters) to minimize the difference from the observed Perseus abundances. The resulting 'best-fit' configuration therefore reproduces the target data by definition of the fitting procedure; the agreement supplies no independent validation of the new metallicity-dependent yields.
full rationale
The paper's central result is that new Z-dependent CCSN yields inserted into a one-zone GCE model can simultaneously match the Si-group and Fe-group abundances measured by Hitomi in the Perseus Cluster. However, the GCE calculation performs an explicit parameter survey over CCSN/Ia rate ratios and related parameters, selecting the 'best-fit model' and 'best-rate model' by direct comparison to the same Perseus dataset. This makes the reported agreement a fitted outcome rather than an independent prediction. The single-reservoir assumption is not tested against external data. Self-citation to Paper I supplies the base solar-metallicity models but does not alter the fitting step. No other circular patterns (self-definition, uniqueness theorems, or ansatz smuggling) are present.
Axiom & Free-Parameter Ledger
free parameters (2)
- relative CCSN to SN Ia rate ratio
- convection parameters
axioms (1)
- domain assumption The Perseus Cluster gas represents a single, well-mixed reservoir whose enrichment history can be modeled with a one-zone GCE code
Lean theorems connected to this paper
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We use two model parameters as independent variables: the fraction of SN Ia in the stellar population f_Ia, and the fraction of Ch-mass WD f_Chand. ... search for the best-fit model and best-rate model using the Perseus Cluster as the reference.
-
IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
The GCE code solves the one-zone model... We substitute the default CCSN yields... and perform parameter surveys
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
2022, ApJS, 259, 35, doi: 10.3847/1538-4365/ac4414
Abdurro’uf, Accetta, K., Aerts, C., et al. 2022, ApJS, 259, 35, doi: 10.3847/1538-4365/ac4414
-
[2]
2019, MNRAS, 489, 1082, doi: 10.1093/mnras/stz2158
Battino, U., Tattersall, A., Lederer-Woods, C., et al. 2019, MNRAS, 489, 1082, doi: 10.1093/mnras/stz2158
-
[3]
2024, PASP, 136, 094201, doi: 10.1088/1538-3873/ad6e18
Bora, Z., K¨ onyves-T´ oth, R., Vink´ o, J., et al. 2024, PASP, 136, 094201, doi: 10.1088/1538-3873/ad6e18
-
[4]
Bressan, A., Marigo, P., Girardi, L., et al. 2012, MNRAS, 427, 127, doi: 10.1111/j.1365-2966.2012.21948.x
-
[5]
2004, ApJ, 608, 405, doi: 10.1086/392523 —
Chieffi, A., & Limongi, M. 2004, ApJ, 608, 405, doi: 10.1086/392523 —. 2013, ApJ, 764, 21, doi: 10.1088/0004-637X/764/1/21
-
[6]
1989, ApJS, 71, 47, doi: 10.1086/191364
Chieffi, A., & Straniero, O. 1989, ApJS, 71, 47, doi: 10.1086/191364
-
[7]
Dray, L. M., & Tout, C. A. 2003, MNRAS, 341, 299, doi: 10.1046/j.1365-8711.2003.06420.x
-
[8]
2008, Ap&SS, 316, 43, doi: 10.1007/s10509-007-9511-y
Eggenberger, P., Meynet, G., Maeder, A., et al. 2008, Ap&SS, 316, 43, doi: 10.1007/s10509-007-9511-y
-
[9]
Eggleton, P. P. 1971, MNRAS, 151, 351, doi: 10.1093/mnras/151.3.351 Ekstr¨ om, S., Georgy, C., Eggenberger, P., et al. 2012, A&A, 537, A146, doi: 10.1051/0004-6361/201117751
-
[10]
Eldridge, J. J., Stanway, E. R., Xiao, L., et al. 2017, PASA, 34, e058, doi: 10.1017/pasa.2017.51
work page internal anchor Pith review doi:10.1017/pasa.2017.51 2017
-
[11]
Eldridge, J. J., & Tout, C. A. 2004, MNRAS, 353, 87, doi: 10.1111/j.1365-2966.2004.08041.x
-
[12]
Frohmaier, C., Sullivan, M., Nugent, P. E., et al. 2019, MNRAS, 486, 2308, doi: 10.1093/mnras/stz807
-
[13]
Frohmaier, C., Angus, C. R., Vincenzi, M., et al. 2021, MNRAS, 500, 5142, doi: 10.1093/mnras/staa3607
-
[14]
Gronow, S., Collins, C. E., Sim, S. A., & R¨ opke, F. K. 2021, A&A, 649, A155, doi: 10.1051/0004-6361/202039954
-
[15]
Harris, C. R., Millman, K. J., van der Walt, S. J., et al. 2020, Nature, 585, 357, doi: 10.1038/s41586-020-2649-2
-
[16]
N., Kobayashi, C., Tominaga, N., & Nomoto, K
Hartwig, T., Ishigaki, M. N., Kobayashi, C., Tominaga, N., & Nomoto, K. 2023, ApJ, 946, 20, doi: 10.3847/1538-4357/acbcc6
-
[17]
Heger, A., & Woosley, S. E. 2002, ApJ, 567, 532, doi: 10.1086/338487 Hitomi Collaboration, Aharonian, F., Akamatsu, H., et al. 2017, Nature, 551, 478, doi: 10.1038/nature24301 —. 2018a, PASJ, 70, 9, doi: 10.1093/pasj/psx138 —. 2018b, PASJ, 70, 10, doi: 10.1093/pasj/psx127 —. 2018c, PASJ, 70, 11, doi: 10.1093/pasj/psy004
-
[18]
Hunter, J. D. 2007, Computing in Science & Engineering, 9, 90, doi: 10.1109/MCSE.2007.55
-
[19]
D., Pignatari, M., Stancliffe, R
Keegans, J. D., Pignatari, M., Stancliffe, R. J., et al. 2023, ApJS, 268, 8, doi: 10.3847/1538-4365/ace102
-
[20]
Kobayashi, C., Karakas, A. I., & Lugaro, M. 2020a, ApJ, 900, 179, doi: 10.3847/1538-4357/abae65
-
[21]
2020b, ApJ, 895, 138, doi: 10.3847/1538-4357/ab8e44
Kobayashi, C., Leung, S.-C., & Nomoto, K. 2020b, ApJ, 895, 138, doi: 10.3847/1538-4357/ab8e44
-
[22]
Lach, F., Callan, F. P., Sim, S. A., & R¨ opke, F. K. 2022, A&A, 659, A27, doi: 10.1051/0004-6361/202142194
-
[23]
Leung, S. C., Chu, M. C., & Lin, L. M. 2015, MNRAS, 454, 1238, doi: 10.1093/mnras/stv1923
-
[24]
2018, ApJ, 861, 143, doi: 10.3847/1538-4357/aac2df
Leung, S.-C., & Nomoto, K. 2018, ApJ, 861, 143, doi: 10.3847/1538-4357/aac2df
-
[25]
2023, in The Sixteenth Marcel Grossmann Meeting
Leung, S.-C., & Nomoto, K. 2023, in The Sixteenth Marcel Grossmann Meeting. On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, ed. R. Ruffino & G. Vereshchagin, 4427–4446, doi: 10.1142/9789811269776 0374 —. 2024, ApJ, 974, 310, doi: 10.3847/1538-4357/ad6ddb
-
[26]
2025, ApJ, 990, 207, doi: 10.3847/1538-4357/adf430
Leung, S.-C., Nomoto, K., & Simionescu, A. 2025, ApJ, 990, 207, doi: 10.3847/1538-4357/adf430
-
[27]
2023, ApJ, 948, 80, doi: 10.3847/1538-4357/acbdf5
Leung, S.-C., Nomoto, K., & Suzuki, T. 2023, ApJ, 948, 80, doi: 10.3847/1538-4357/acbdf5
-
[28]
2021, ApJ, 923, 41, doi: 10.3847/1538-4357/ac2c63
Leung, S.-C., Wu, S., & Fuller, J. 2021, ApJ, 923, 41, doi: 10.3847/1538-4357/ac2c63
-
[29]
2018, ApJS, 237, 13, doi: 10.3847/1538-4365/aacb24
Limongi, M., & Chieffi, A. 2018, ApJS, 237, 13, doi: 10.3847/1538-4365/aacb24
-
[30]
Majewski, S. R., Schiavon, R. P., Frinchaboy, P. M., et al. 2017, AJ, 154, 94, doi: 10.3847/1538-3881/aa784d
-
[31]
2012, Chemical Evolution of Galaxies, doi: 10.1007/978-3-642-22491-1
Matteucci, F. 2012, Chemical Evolution of Galaxies, doi: 10.1007/978-3-642-22491-1
-
[32]
2016, in Journal of Physics Conference Series, Vol
Matteucci, F. 2016, in Journal of Physics Conference Series, Vol. 703, Journal of Physics Conference Series (IOP), 012004, doi: 10.1088/1742-6596/703/1/012004
-
[33]
2009, A&A, 501, 531, doi: 10.1051/0004-6361/200911869 16 Mor´ an-Fraile, J., Holas, A., R¨ opke, F
Matteucci, F., Spitoni, E., Recchi, S., & Valiante, R. 2009, A&A, 501, 531, doi: 10.1051/0004-6361/200911869 16 Mor´ an-Fraile, J., Holas, A., R¨ opke, F. K., Pakmor, R., &
-
[34]
Schneider, F. R. N. 2024, A&A, 683, A44, doi: 10.1051/0004-6361/202347769
-
[35]
Mori, K., Famiano, M. A., Kajino, T., et al. 2018, ApJ, 863, 176, doi: 10.3847/1538-4357/aad233
-
[36]
Murphy, L. J., Groh, J. H., Ekstr¨ om, S., et al. 2021, MNRAS, 501, 2745, doi: 10.1093/mnras/staa3803
-
[37]
Niemeyer, J. C., & Hillebrandt, W. 1995, ApJ, 452, 769, doi: 10.1086/176345
-
[38]
1988, PhR, 163, 13, doi: 10.1016/0370-1573(88)90032-4
Nomoto, K., & Hashimoto, M. 1988, PhR, 163, 13, doi: 10.1016/0370-1573(88)90032-4
-
[39]
2013, ARA&A, 51, 457, doi: 10.1146/annurev-astro-082812-140956
Nomoto, K., Kobayashi, C., & Tominaga, N. 2013, ARA&A, 51, 457, doi: 10.1146/annurev-astro-082812-140956
-
[40]
2018, SSRv, 214, 67, doi: 10.1007/s11214-018-0499-0
Nomoto, K., & Leung, S.-C. 2018, SSRv, 214, 67, doi: 10.1007/s11214-018-0499-0
-
[41]
Nomoto, K., Thielemann, F. K., & Yokoi, K. 1984, ApJ, 286, 644, doi: 10.1086/162639
-
[42]
2021, ApJL, 913, L34, doi: 10.3847/2041-8213/abff5b
Ohshiro, Y., Yamaguchi, H., Leung, S.-C., et al. 2021, ApJL, 913, L34, doi: 10.3847/2041-8213/abff5b
-
[43]
2013, ApJL, 770, L8, doi: 10.1088/2041-8205/770/1/L8 pandas development team, T
Pakmor, R., Kromer, M., Taubenberger, S., & Springel, V. 2013, ApJL, 770, L8, doi: 10.1088/2041-8205/770/1/L8 pandas development team, T. 2020, pandas-dev/pandas: Pandas, latest, Zenodo, doi: 10.5281/zenodo.3509134
-
[44]
2011, The Astrophysical Journal Supplement Series, 192, 3, doi: 10.1088/0067-0049/192/1/3
Paxton, B., Bildsten, L., Dotter, A., et al. 2011, ApJS, 192, 3, doi: 10.1088/0067-0049/192/1/3
-
[45]
2013, The Astrophysical Journal Supplement Series, 208, 4, doi: 10.1088/0067-0049/208/1/4
Paxton, B., Cantiello, M., Arras, P., et al. 2013, ApJS, 208, 4, doi: 10.1088/0067-0049/208/1/4
work page internal anchor Pith review doi:10.1088/0067-0049/208/1/4 2013
-
[46]
2015, The Astrophysical Journal Supplement Series, 220, 15, doi: 10.1088/0067-0049/220/1/15
Paxton, B., Marchant, P., Schwab, J., et al. 2015, ApJS, 220, 15, doi: 10.1088/0067-0049/220/1/15
work page internal anchor Pith review doi:10.1088/0067-0049/220/1/15 2015
-
[47]
Paxton, B., Schwab, J., Bauer, E. B., et al. 2018, ApJS, 234, 34, doi: 10.3847/1538-4365/aaa5a8
-
[48]
2019, The Astrophysical Journal Supplement Series, 243, 10, doi: 10.3847/1538-4365/ab2241
Paxton, B., Smolec, R., Schwab, J., et al. 2019, ApJS, 243, 10, doi: 10.3847/1538-4365/ab2241
-
[49]
2004, ApJ, 612, 168, doi: 10.1086/422498
Pietrinferni, A., Cassisi, S., Salaris, M., & Castelli, F. 2004, ApJ, 612, 168, doi: 10.1086/422498
-
[50]
2016, ApJS, 225, 24, doi: 10.3847/0067-0049/225/2/24
Pignatari, M., Herwig, F., Hirschi, R., et al. 2016, ApJS, 225, 24, doi: 10.3847/0067-0049/225/2/24
-
[51]
2021, ApJ, 906, 65, doi: 10.3847/1538-4357/abcccc
Polin, A., Nugent, P., & Kasen, D. 2021, ApJ, 906, 65, doi: 10.3847/1538-4357/abcccc
-
[52]
Pols, O. R., Tout, C. A., Eggleton, P. P., & Han, Z. 1995, MNRAS, 274, 964, doi: 10.1093/mnras/274.3.964
-
[53]
Ritter, C., Cˆ ot´ e, B., Herwig, F., Navarro, J. F., & Fryer, C. L. 2018a, ApJS, 237, 42, doi: 10.3847/1538-4365/aad691
-
[54]
2018b, MNRAS, 480, 538, doi: 10.1093/mnras/sty1729
Ritter, C., Herwig, F., Jones, S., et al. 2018b, MNRAS, 480, 538, doi: 10.1093/mnras/sty1729
-
[55]
2024, ApJS, 272, 15, doi: 10.3847/1538-4365/ad391d
Roberti, L., Limongi, M., & Chieffi, A. 2024, ApJS, 272, 15, doi: 10.3847/1538-4365/ad391d
-
[56]
Roberti, L., Pignatari, M., Brinkman, H. E., et al. 2025, A&A, 698, A216, doi: 10.1051/0004-6361/202554461
-
[57]
2010, , 405, 1025, 10.1111/j.1365-2966.2010.16486.x
Seitenzahl, I. R., R¨ opke, F. K., Fink, M., & Pakmor, R. 2010, MNRAS, 407, 2297, doi: 10.1111/j.1365-2966.2010.17106.x
-
[58]
R., Ciaraldi-Schoolmann, F., R¨ opke, F
Seitenzahl, I. R., Ciaraldi-Schoolmann, F., R¨ opke, F. K., et al. 2013, MNRAS, 429, 1156, doi: 10.1093/mnras/sts402
-
[59]
Shen, K. J., Kasen, D., Miles, B. J., & Townsley, D. M. 2018, ApJ, 854, 52, doi: 10.3847/1538-4357/aaa8de
-
[60]
2019, MNRAS, 483, 1701, doi: 10.1093/mnras/sty3220
Simionescu, A., Nakashima, S., Yamaguchi, H., et al. 2019, MNRAS, 483, 1701, doi: 10.1093/mnras/sty3220
-
[61]
Stancliffe, R. J., Tout, C. A., & Pols, O. R. 2004, MNRAS, 352, 984, doi: 10.1111/j.1365-2966.2004.07987.x
-
[62]
Janka, H. T. 2016, ApJ, 821, 38, doi: 10.3847/0004-637X/821/1/38
-
[63]
2016, in Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, Vol
Takahashi, T., Kokubun, M., Mitsuda, K., et al. 2016, in Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, Vol. 9905, Space Telescopes and Instrumentation 2016: Ultraviolet to Gamma Ray, ed. J.-W. A. den Herder, T. Takahashi, & M. Bautz, 99050U, doi: 10.1117/12.2232379
-
[64]
Timmes, F. X., Woosley, S. E., & Weaver, T. A. 1995, ApJS, 98, 617, doi: 10.1086/192172
-
[65]
2009, ApJ, 690, 526, doi: 10.1088/0004-637X/690/1/526
Tominaga, N. 2009, ApJ, 690, 526, doi: 10.1088/0004-637X/690/1/526
-
[66]
2007, ApJ, 660, 516, doi: 10.1086/513063
Tominaga, N., Umeda, H., & Nomoto, K. 2007, ApJ, 660, 516, doi: 10.1086/513063
-
[67]
Townsley, D. M., Miles, B. J., Timmes, F. X., Calder, A. C., & Brown, E. F. 2016, ApJS, 225, 3, doi: 10.3847/0067-0049/225/1/3
-
[68]
Thielemann, F. K. 2004, A&A, 425, 1029, doi: 10.1051/0004-6361:20041108
-
[69]
Umeda, H., Nomoto, K., & Nakamura, T. 2000, in The First Stars, ed. A. Weiss, T. G. Abel, & V. Hill, 150, doi: 10.1007/10719504 27
-
[70]
Weaver, T. A., Zimmerman, G. B., & Woosley, S. E. 1978, ApJ, 225, 1021, doi: 10.1086/156569
-
[71]
2022, ApJ, 924, 119, doi: 10.3847/1538-4357/ac308d
Weng, J., Zhou, P., Chen, Y., et al. 2022, ApJ, 924, 119, doi: 10.3847/1538-4357/ac308d
-
[72]
Woosley, S. E., & Heger, A. 2006, ApJ, 637, 914, doi: 10.1086/498500
-
[73]
Woosley, S. E., Heger, A., & Weaver, T. A. 2002, Reviews of Modern Physics, 74, 1015, doi: 10.1103/RevModPhys.74.1015
-
[74]
Woosley, S. E., & Weaver, T. A. 1994, ApJ, 423, 371, doi: 10.1086/173813 —. 1995, ApJS, 101, 181, doi: 10.1086/192237 17
-
[75]
2021, ApJ, 906, 3, doi: 10.3847/1538-4357/abc87c
Wu, S., & Fuller, J. 2021, ApJ, 906, 3, doi: 10.3847/1538-4357/abc87c
-
[76]
2022, MNRAS, 511, 2814, doi: 10.1093/mnras/stac230 18
Yusof, N., Hirschi, R., Eggenberger, P., et al. 2022, MNRAS, 511, 2814, doi: 10.1093/mnras/stac230 18
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.