Carbon Isotope Ratios in M10 Giants. (arXiv:1905.00459v1 [astro-ph.SR])
<a href="http://arxiv.org/find/astro-ph/1/au:+Maas_Z/0/1/0/all/0/1">Z. G. Maas</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Gerber_J/0/1/0/all/0/1">J. M. Gerber</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Deibel_A/0/1/0/all/0/1">Alex Deibel</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Pilachowski_C/0/1/0/all/0/1">C. A. Pilachowski</a>

We measured carbon abundances and the $^{12}mathrm{C}/^{13}mathrm{C}$ ratio
in 31 giant branch stars with previous CN and CH band measurements that span
-2.33 $<$ M$_{rm V}$ $<$ 0.18 in the globular cluster M10 (NGC 6254). Abundances were determined by comparing CO features at $sim 2.3, mu mathrm{m}$ and specifically the $^{13}$CO bandhead at $2.37, mu mathrm{m}$, to synthetic spectra generated with MOOG. The observed spectra were obtained with GNIRS on Gemini North with a resolution of R $approx 3500$. The carbon abundances derived from the IR spectra agree with previous [C/Fe] measurements found using CN and CH features at the near-UV/blue wavelength range. We found an average carbon isotope ratio of $^{12}mathrm{C}/^{13}mathrm{C}$ = 5.10$_{-0.17}^{+0.18}$ for first generation stars (CN-normal; 13 stars total) and $^{12}mathrm{C}/^{13}mathrm{C}$ = 4.84$_{-0.22}^{+0.27}$ for second generation stars (CN-enhanced; 15 stars). We therefore find no statistically significant difference in $^{12}mathrm{C}/^{13}mathrm{C}$ ratio between stars in either population for the observed magnitude range. Finally, we created models of the expected carbon, nitrogen, and $^{12}mathrm{C}/^{13}mathrm{C}$ surface abundance evolution on the red giant branch due to thermohaline mixing using the MESA stellar evolution code. The efficiency of the thermohaline mixing must be increased to a factor of $approx 60$ to match [C/Fe] abundances, and by a factor of $approx 666$ to match $^{12}mathrm{C}/^{13}mathrm{C}$ ratios. We could not simultaneously fit the evolution of both carbon and the $^{12}mathrm{C}/^{13}mathrm{C}$ ratio with models using the same thermohaline efficiency parameter.

We measured carbon abundances and the $^{12}mathrm{C}/^{13}mathrm{C}$ ratio
in 31 giant branch stars with previous CN and CH band measurements that span
-2.33 $<$ M$_{rm V}$ $<$ 0.18 in the globular cluster M10 (NGC 6254).
Abundances were determined by comparing CO features at $sim 2.3, mu
mathrm{m}$ and specifically the $^{13}$CO bandhead at $2.37, mu mathrm{m}$,
to synthetic spectra generated with MOOG. The observed spectra were obtained
with GNIRS on Gemini North with a resolution of R $approx 3500$. The carbon
abundances derived from the IR spectra agree with previous [C/Fe] measurements
found using CN and CH features at the near-UV/blue wavelength range. We found
an average carbon isotope ratio of $^{12}mathrm{C}/^{13}mathrm{C}$ =
5.10$_{-0.17}^{+0.18}$ for first generation stars (CN-normal; 13 stars total)
and $^{12}mathrm{C}/^{13}mathrm{C}$ = 4.84$_{-0.22}^{+0.27}$ for second
generation stars (CN-enhanced; 15 stars). We therefore find no statistically
significant difference in $^{12}mathrm{C}/^{13}mathrm{C}$ ratio between stars
in either population for the observed magnitude range. Finally, we created
models of the expected carbon, nitrogen, and $^{12}mathrm{C}/^{13}mathrm{C}$
surface abundance evolution on the red giant branch due to thermohaline mixing
using the MESA stellar evolution code. The efficiency of the thermohaline
mixing must be increased to a factor of $approx 60$ to match [C/Fe]
abundances, and by a factor of $approx 666$ to match
$^{12}mathrm{C}/^{13}mathrm{C}$ ratios. We could not simultaneously fit the
evolution of both carbon and the $^{12}mathrm{C}/^{13}mathrm{C}$ ratio with
models using the same thermohaline efficiency parameter.

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