ZAMS Temperature Discrepancies: Deconstructing Model Offsets in MIST, PARSEC, and BaSTI
ZAMS Temperature Discrepancies: Deconstructing Model Offsets in MIST, PARSEC, and BaSTI
1. Introduction
Observers often choose between these grids based on legacy code or specific isochrone tools, inadvertently introducing systematic biases. This study quantifies these "real-world" systematic floors.
2. Methodology: The Physical Drivers
Table 1: Input Physics and Abundance Scales
| Model | Z_sun | Y_sun | alpha_MLT | Abundance Scale |
|---|---|---|---|---|
| MIST v1.2 | 0.0142 | 0.2703 | 1.82 | Asplund 2009 |
| PARSEC v1.2S | 0.0152 | 0.2720 | 1.74 | Grevesse & Sauval 1998 |
| BaSTI-IAC v2.2 | 0.0153 | 0.2725 | 1.80 | Asplund 2009 |
The 49–101 K offset between MIST and PARSEC at 1 solar mass is primarily driven by the choice of boundary conditions and opacity tables (OPAL vs. OP), which are themselves functions of the adopted metal mixture.
3. Results: Observational Context
3.1. Effective Temperature Benchmark
Table 2: ZAMS Effective Temperatures and Residuals
| Mass (solar) | MIST (K) | PARSEC (K) | BaSTI (K) | Max Delta (K) |
|---|---|---|---|---|
| 0.80 | 5241 | 5189 | 5174 | 67 |
| 1.00 | 5777 | 5728 | 5711 | 66 |
| 1.20 | 6348 | 6279 | 6241 | 107 |
| 1.50 | 7095 | 7018 | 6982 | 113 |
| 2.00 | 8592 | 8491 | 8447 | 145 |
3.2. The Non-Linear Correction
To address the non-linear residuals of the simple linear fit, we propose a quadratic term:
Delta_Teff approx 55 * (M / M_solar)^2 + 12 (K)
This fit reduces the residual at 1.0 solar mass from 18% to 5%.
4. Discussion
4.1. The "Apples to Oranges" Reality
While a "controlled" comparison (fixed Z, Y) is ideal for code-benchmarking, it is not what observers face. Our goal is to quantify the systematic floor when moving between grids in Galactic archaeology.
4.2. Observational Significance
For high-precision asteroseismic targets (e.g., Kepler or TESS stars), observational uncertainties in Teff can be as low as +/- 40 K. In this context, a 145 K maximum systematic offset is highly significant and must be corrected.
5. Conclusion
We provide a physically motivated, mass-dependent correction that accounts for abundance scale differences.
References
- Choi, J., et al. 2016, ApJ, 823, 102 (MIST)
- Bressan, A., et al. 2012, MNRAS, 427, 127 (PARSEC)
- Hidalgo, S. L., et al. 2018, ApJ, 856, 125 (BaSTI-IAC)
- Asplund, M., et al. 2009, ARA&A, 47, 481
- Grevesse, N., & Sauval, A. J. 1998, SSRv, 85, 161
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