Abstract
A star expands to become a red giant when it has fused all the hydrogen in its core into helium. If the star is in a binary system, its envelope can overflow onto its companion or be ejected into space, leaving a hot core and potentially forming a subdwarf B star1,2,3. However, most red giants that have partially transferred envelopes in this way remain cool on the surface and are almost indistinguishable from those that have not. Among ~7,000 helium-burning red giants observed by NASA’s Kepler mission, we use asteroseismology to identify two classes of stars that must have undergone considerable mass loss, presumably due to stripping in binary interactions. The first class comprises about seven underluminous stars with smaller helium-burning cores than their single-star counterparts. Theoretical models show that these small cores imply the stars had much larger masses when ascending the red giant branch. The second class consists of 32 red giants with masses down to 0.5 M⊙, whose implied ages would exceed the age of the universe had no mass loss occurred. The numbers are consistent with binary statistics, and our results open up new possibilities to study the evolution of post-mass-transfer binary systems.
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Data availability
We made use of publicly available data in this work. Kepler data are available from the MAST portal at https://archive.stsci.edu/access-mast-data, APOGEE data at https://www.sdss.org/dr16/, LAMOST data at http://dr5.lamost.org/v3/doc/vac and https://github.com/hypergravity/paperdata and Gaia data at https://gea.esac.esa.int/archive/. The data needed to reproduce this work are available at GitHub (https://github.com/parallelpro/Yaguang_stripped_rg_repo). All other data are available from the corresponding author upon reasonable request.
Code availability
This work is made possible by the following open-source software: NumPy130, SciPy131, Matplotlib132, Astropy133,134, Pandas135, MESA88,89,90,91,92, MESA SDK136, GYRE93, pySYD82, Lightkurve137, EchellePlotter (https://github.com/9yifanchen9/EchellePy) and ISOCLASSIFY119,120. The scripts used in this work is available at a curated GitHub repository (https://github.com/parallelpro/Yaguang_stripped_rg_repo).
References
Heber, U. Hot subluminous stars. Publ. Astron. Soc. Pac. 128, 082001 (2016).
Byrne, C. M., Stanway, E. R. & Eldridge, J. J. Binary evolution pathways of blue large-amplitude pulsators. Mon. Not. R. Astron. Soc. 507, 621–631 (2021).
Lynas-Gray, A. E. Asteroseismic observations of hot subdwarfs. Front. Astron. Space Sci. 8, 576623 (2021).
Reimers, D. Circumstellar absorption lines and mass loss from red giants. Mem. Soc. R. Sci. Liege 8, 369–382 (1975).
Schröder, K. P. & Cuntz, M. A new version of Reimers’ law of mass loss based on a physical approach. Astrophys. J. 630, L73–L76 (2005).
Yu, J. et al. Asteroseismology of luminous red giants with Kepler—II. Dependence of mass-loss on pulsations and radiation. Mon. Not. R. Astron. Soc. 501, 5135–5148 (2021).
Miglio, A. et al. Age dissection of the Milky Way discs: red giants in the Kepler field. Astron. Astrophys. 645, A85 (2021).
Miglio, A. et al. Asteroseismology of old open clusters with Kepler: direct estimate of the integrated red giant branch mass-loss in NGC 6791 and 6819. Mon. Not. R. Astron. Soc. 419, 2077–2088 (2012).
Stello, D. et al. The K2 M67 Study: revisiting old friends with K2 reveals oscillating red giants in the open cluster M67. Astrophys. J. 832, 133 (2016).
Handberg, R. et al. NGC 6819: testing the asteroseismic mass scale, mass loss and evidence for products of non-standard evolution. Mon. Not. R. Astron. Soc. 472, 979–997 (2017).
McDonald, I. & Zijlstra, A. A. Mass-loss on the red giant branch: the value and metallicity dependence of Reimers’ η in globular clusters. Mon. Not. R. Astron. Soc. 448, 502–521 (2015).
Lebzelter, T. & Wood, P. R. Long period variables and mass loss in the globular clusters NGC 362 and NGC 2808. Astron. Astrophys. 529, A137 (2011).
Salaris, M., Cassisi, S. & Pietrinferni, A. On the red giant branch mass loss in 47 Tucanae: constraints from the horizontal branch morphology. Astron. Astrophys. 590, A64 (2016).
An, D., Pinsonneault, M. H., Terndrup, D. M. & Chung, C. Comparison of the asteroseismic mass scale of red clump giants with photometric mass estimates. Astrophys. J. 879, 81 (2019).
Han, Z.-W., Ge, H.-W., Chen, X.-F. & Chen, H.-L. Binary population synthesis. Res. Astron. Astrophys. 20, 161 (2020).
Bergeron, P., Saffer, R. A. & Liebert, J. A spectroscopic determination of the mass distribution of DA white dwarfs. Astrophys. J. 394, 228–247 (1992).
Liebert, J., Bergeron, P. & Holberg, J. B. The formation rate and mass and luminosity functions of DA white dwarfs from the Palomar Green Survey. Astrophys. J. Suppl. Ser. 156, 47–68 (2005).
Brown, W. R., Kilic, M., Allende Prieto, C., Gianninas, A. & Kenyon, S. J. The ELM Survey. V. Merging massive white dwarf binaries. Astrophys. J. 769, 66 (2013).
Han, Z., Podsiadlowski, P., Maxted, P. F. L., Marsh, T. R. & Ivanova, N. The origin of subdwarf B stars—I. The formation channels. Mon. Not. R. Astron. Soc. 336, 449–466 (2002).
Hu, H. et al. A seismic approach to testing different formation channels of subdwarf B stars. Astron. Astrophys. 490, 243–252 (2008).
Maxted, P. F. L., Heber, U., Marsh, T. R. & North, R. C. The binary fraction of extreme horizontal branch stars. Mon. Not. R. Astron. Soc. 326, 1391–1402 (2001).
Napiwotzki, R. et al. Close binary EHB stars from SPY. Astrophys. Space Sci. 291, 321–328 (2004).
Copperwheat, C. M., Morales-Rueda, L., Marsh, T. R., Maxted, P. F. L. & Heber, U. Radial-velocity measurements of subdwarf B stars. Mon. Not. R. Astron. Soc. 415, 1381–1395 (2011).
El-Badry, K. & Quataert, E. A stripped-companion origin for Be stars: clues from the putative black holes HR 6819 and LB-1. Mon. Not. R. Astron. Soc. 502, 3436–3455 (2021).
Shenar, T. et al. The ‘hidden’ companion in LB-1 unveiled by spectral disentangling. Astron. Astrophys. 639, L6 (2020).
Irrgang, A., Geier, S., Kreuzer, S., Pelisoli, I. & Heber, U. A stripped helium star in the potential black hole binary LB-1. Astron. Astrophys. 633, L5 (2020).
Brogaard, K., Arentoft, T., Jessen-Hansen, J. & Miglio, A. Asteroseismology of overmassive, undermassive, and potential past members of the open cluster NGC 6791. Mon. Not. R. Astron. Soc. 507, 496–509 (2021).
Ulrich, R. K. Determination of stellar ages from asteroseismology. Astrophys. J. 306, L37 (1986).
Brown, T. M., Gilliland, R. L., Noyes, R. W. & Ramsey, L. W. Detection of possible p-mode oscillations on Procyon. Astrophys. J. 368, 599–609 (1991).
Kjeldsen, H. & Bedding, T. R. Amplitudes of stellar oscillations: the implications for asteroseismology. Astron. Astrophys. 293, 87–106 (1995).
Li, Y. et al. Testing the intrinsic scatter of the asteroseismic scaling relations with Kepler red giants. Mon. Not. R. Astron. Soc. 501, 3162–3172 (2021).
Aizenman, M., Smeyers, P. & Weigert, A. Avoided crossing of modes of non-radial stellar oscillations. Astron. Astrophys. 58, 41–46 (1977).
Christensen-Dalsgaard, J., Bedding, T. R. & Kjeldsen, H. Modeling solar-like oscillations in eta Bootis. Astrophys. J. 443, L29 (1995).
Deheuvels, S. et al. Seismic and spectroscopic characterization of the solar-like pulsating CoRoT target HD 49385. Astron. Astrophys. 515, A87 (2010).
Benomar, O. et al. Properties of oscillation modes in subgiant stars observed by Kepler. Astrophys. J. 767, 158 (2013).
Dupret, M. A. et al. Theoretical amplitudes and lifetimes of non-radial solar-like oscillations in red giants. Astron. Astrophys. 506, 57–67 (2009).
Bedding, T. R. et al. Gravity modes as a way to distinguish between hydrogen- and helium-burning red giant stars. Nature 471, 608–611 (2011).
Huber, D. et al. Asteroseismology of red giants from the first four months of Kepler data: global oscillation parameters for 800 stars. Astrophys. J. 723, 1607–1617 (2010).
Yu, J. et al. Asteroseismology of 16,000 Kepler red giants: global oscillation parameters, masses, and radii. Astrophys. J. Suppl. Ser. 236, 42 (2018).
Sweigart, A. V., Greggio, L. & Renzini, A. The development of the red giant branch. II. Astrophysical properties. Astrophys. J. 364, 527–539 (1990).
Montalbán, J. et al. Testing convective-core overshooting using period spacings of dipole modes in red giants. Astrophys. J. 766, 118 (2013).
Girardi, L. Red clump stars. Annu. Rev. Astron. Astrophys. 54, 95–133 (2016).
Planck Collaboration et al. Planck 2015 results. XIII. Cosmological parameters. Astron. Astrophys. 594, A13 (2016).
Mosser, B. et al. Characterization of the power excess of solar-like oscillations in red giants with Kepler. Astron. Astrophys. 537, A30 (2012).
Elsworth, Y. et al. Insights from the APOKASC determination of the evolutionary state of red-giant stars by consolidation of different methods. Mon. Not. R. Astron. Soc. 489, 4641–4657 (2019).
Gaulme, P. et al. Active red giants: close binaries versus single rapid rotators. Astron. Astrophys. 639, A63 (2020).
Schönberg, M. & Chandrasekhar, S. On the evolution of the main-sequence stars. Astrophys. J. 96, 161–172 (1942).
Kumar, Y. B. et al. Discovery of ubiquitous lithium production in low-mass stars. Nat. Astron. 4, 1059–1063 (2020).
Deepak & Lambert, D. L. Lithium abundances and asteroseismology of red giants: understanding the evolution of lithium in giants based on asteroseismic parameters. Mon. Not. R. Astron. Soc. 505, 642–648 (2021).
Martell, S. L. et al. The GALAH survey: a census of lithium-rich giant stars. Mon. Not. R. Astron. Soc. 505, 5340–5355 (2021).
Yan, H.-L. et al. Most lithium-rich low-mass evolved stars revealed as red clump stars by asteroseismology and spectroscopy. Nat. Astron. 5, 86–93 (2021).
Silva Aguirre, V. et al. Old puzzle, new insights: a lithium-rich giant quietly burning helium in its core. Astrophys. J. 784, L16 (2014).
Casey, A. R. et al. Tidal interactions between binary stars can drive lithium production in low-mass red giants. Astrophys. J. 880, 125 (2019).
Zhang, X., Jeffery, C. S., Li, Y. & Bi, S. Population synthesis of helium white dwarf–red giant star mergers and the formation of lithium-rich giants and carbon stars. Astrophys. J. 889, 33 (2020).
Bland-Hawthorn, J. & Gerhard, O. The Galaxy in context: structural, kinematic, and integrated properties. Annu. Rev. Astron. Astrophys. 54, 529–596 (2016).
Chiappini, C. et al. Young [α/Fe]-enhanced stars discovered by CoRoT and APOGEE: what is their origin? Astron. Astrophys. 576, L12 (2015).
Martig, M. et al. Young α-enriched giant stars in the solar neighbourhood. Mon. Not. R. Astron. Soc. 451, 2230–2243 (2015).
Jofré, P. et al. Cannibals in the thick disk: the young α-rich stars as evolved blue stragglers. Astron. Astrophys. 595, A60 (2016).
Yong, D. et al. GRACES observations of young [α/Fe]-rich stars. Mon. Not. R. Astron. Soc. 459, 487–495 (2016).
Hekker, S. & Johnson, J. A. Origin of α-rich young stars: clues from C, N, and O. Mon. Not. R. Astron. Soc. 487, 4343–4354 (2019).
Zhang, M. et al. Most “young” α-rich stars have high masses but are actually old. Astrophys. J. 922, 145 (2021).
Sharma, S. et al. The GALAH Survey: dependence of elemental abundances on age and metallicity for stars in the Galactic disc. Mon. Not. R. Astron. Soc. 510, 734–752 (2021).
Hayden, M. R. et al. The GALAH Survey: chemical clocks. Preprint at https://arxiv.org/abs/2011.13745 (2020).
Rui, N. Z. & Fuller, J. Asteroseismic fingerprints of stellar mergers. Mon. Not. R. Astron. Soc. 508, 1618–1631 (2021).
Deheuvels, S., Ballot, J., Gehan, C. & Mosser, B. Seismic signature of electron degeneracy in the core of red giants: hints for mass transfer between close red-giant companions. Astron. Astrophys. 659, A106 (2022).
Aerts, C., Mathis, S. & Rogers, T. M. Angular momentum transport in stellar interiors. Annu. Rev. Astron. Astrophys. 57, 35–78 (2019).
Huber, D. et al. Automated extraction of oscillation parameters for Kepler observations of solar-type stars. Commun. Asteroseismol. 160, 74–91 (2009).
Stello, D., Bruntt, H., Preston, H. & Buzasi, D. Oscillating K giants with the WIRE satellite: determination of their asteroseismic masses. Astrophys. J. 674, L53 (2008).
Kallinger, T. et al. Oscillating red giants in the CoRoT exofield: asteroseismic mass and radius determination. Astron. Astrophys. 509, A77 (2010).
Chaplin, W. J. & Miglio, A. Asteroseismology of solar-type and red-giant stars. Annu. Rev. Astron. Astrophys. 51, 353–392 (2013).
Hekker, S. & Christensen-Dalsgaard, J. Giant star seismology. Astron. Astrophys. Rev. 25, 1 (2017).
Basu, S. & Hekker, S. Unveiling the structure and dynamics of red giants with asteroseismology. Front. Astron. Space Sci. 7, 44 (2020).
Hekker, S. Scaling relations for solar-like oscillations: a review. Front. Astron. Space Sci. 7, 3 (2020).
Hon, M., Stello, D. & Yu, J. Deep learning classification in asteroseismology. Mon. Not. R. Astron. Soc. 469, 4578–4583 (2017).
Kallinger, T. et al. Evolutionary influences on the structure of red-giant acoustic oscillation spectra from 600 d of Kepler observations. Astron. Astrophys. 541, A51 (2012).
Stello, D. et al. Asteroseismic classification of stellar populations among 13,000 red giants observed by Kepler. Astrophys. J. 765, L41 (2013).
Mosser, B. et al. Mixed modes in red giants: a window on stellar evolution. Astron. Astrophys. 572, L5 (2014).
Vrard, M., Mosser, B. & Samadi, R. Period spacings in red giants. II. Automated measurement. Astron. Astrophys. 588, A87 (2016).
Abdurro’uf et al. The seventeenth data release of the Sloan Digital Sky Surveys: complete release of MaNGA, MaStar and APOGEE-2 data. Astrophys. J. Suppl. Ser. 259, 35 (2022).
Xiang, M. et al. Abundance estimates for 16 elements in 6 million stars from LAMOST DR5 low-resolution spectra. Astrophys. J. Suppl. Ser. 245, 34 (2019).
Zhang, B. et al. Self-consistent stellar radial velocities from LAMOST Medium-Resolution Survey DR7. Astrophys. J. Suppl. Ser. 256, 14 (2021).
Chontos, A., Huber, D., Sayeed, M. & Yamsiri, P. pySYD: automated measurements of global asteroseismic parameters. Preprint at https://arxiv.org/abs/2108.00582 (2021).
Li, Y. et al. Asteroseismology of 36 Kepler subgiants—I. Oscillation frequencies, linewidths, and amplitudes. Mon. Not. R. Astron. Soc. 495, 2363–2386 (2020).
White, T. R. et al. Calculating asteroseismic diagrams for solar-like oscillations. Astrophys. J. 743, 161 (2011).
Sharma, S., Stello, D., Bland-Hawthorn, J., Huber, D. & Bedding, T. R. Stellar population synthesis based modeling of the Milky Way using asteroseismology of 13,000 Kepler red giants. Astrophys. J. 822, 15 (2016).
Vrard, M., Mosser, B. & Samadi, R. Period spacings in red giants. II. Automated measurement. Astron. Astrophys. 588, A87 (2016).
Mosser, B. et al. Period spacings in red giants IV. Toward a complete description of the mixed-mode pattern. Astron. Astrophys. 618, A109 (2018).
Paxton, B. et al. Modules for Experiments in Stellar Astrophysics (MESA). Astrophys. J. Suppl. Ser. 192, 3 (2011).
Paxton, B. et al. Modules for Experiments in Stellar Astrophysics (MESA): planets, oscillations, rotation, and massive stars. Astrophys. J. Suppl. Ser. 208, 4 (2013).
Paxton, B. et al. Modules for Experiments in Stellar Astrophysics (MESA): binaries, pulsations, and explosions. Astrophys. J. Suppl. Ser. 220, 15 (2015).
Paxton, B. et al. Modules for Experiments in Stellar Astrophysics (MESA): convective boundaries, element diffusion, and massive star explosions. Astrophys. J. Suppl. Ser. 234, 34 (2018).
Paxton, B. et al. Modules for Experiments in Stellar Astrophysics (MESA): pulsating variable stars, rotation, convective boundaries, and energy conservation. Astrophys. J. Suppl. Ser. 243, 10 (2019).
Townsend, R. H. D. & Teitler, S. A. GYRE: an open-source stellar oscillation code based on a new Magnus Multiple Shooting scheme. Mon. Not. R. Astron. Soc. 435, 3406–3418 (2013).
Henyey, L., Vardya, M. S. & Bodenheimer, P. Studies in stellar evolution. III. The calculation of model envelopes. Astrophys. J. 142, 841–854 (1965).
Murphy, S. J., Joyce, M., Bedding, T. R., White, T. R. & Kama, M. A precise asteroseismic age and metallicity for HD 139614: a pre-main-sequence star with a protoplanetary disc in Upper Centaurus–Lupus. Mon. Not. R. Astron. Soc. 502, 1633–1646 (2021).
Molnár, L., Joyce, M. & Kiss, L. L. Stellar evolution in real time: models consistent with the direct observation of a thermal pulse in T Ursae Minoris. Astrophys. J. 879, 62 (2019).
Asplund, M., Grevesse, N., Sauval, A. J. & Scott, P. The chemical composition of the Sun. Annu. Rev. Astron. Astrophys. 47, 481–522 (2009).
Cyburt, R. H. et al. The JINA REACLIB database: its recent updates and impact on type-I X-ray bursts. Astrophys. J. Suppl. Ser. 189, 240–252 (2010).
Eddington, A. S. The Internal Constitution of the Stars (University Press, 1926).
Rogers, F. J. & Nayfonov, A. Updated and expanded OPAL equation-of-state tables: implications for helioseismology. Astrophys. J. 576, 1064–1074 (2002).
Saumon, D., Chabrier, G. & van Horn, H. M. An equation of state for low-mass stars and giant planets. Astrophys. J. Suppl. Ser. 99, 713–741 (1995).
Pols, O. R., Tout, C. A., Eggleton, P. P. & Han, Z. Approximate input physics for stellar modelling. Mon. Not. R. Astron. Soc. 274, 964–974 (1995).
Timmes, F. X. & Swesty, F. D. The accuracy, consistency, and speed of an electron–positron equation of state based on table interpolation of the Helmholtz free energy. Astrophys. J. Suppl. Ser. 126, 501–516 (2000).
Potekhin, A. Y. & Chabrier, G. Thermodynamic functions of dense plasmas: analytic approximations for astrophysical applications. Contrib. Plasma Phys. 50, 82–87 (2010).
Cassisi, S., Potekhin, A. Y., Pietrinferni, A., Catelan, M. & Salaris, M. Updated electron-conduction opacities: the impact on low-mass stellar models. Astrophys. J. 661, 1094–1104 (2007).
Iglesias, C. A. & Rogers, F. J. Radiative opacities for carbon- and oxygen-rich mixtures. Astrophys. J. 412, 752–760 (1993).
Iglesias, C. A. & Rogers, F. J. Updated OPAL opacities. Astrophys. J. 464, 943–953 (1996).
Ferguson, J. W. et al. Low-temperature opacities. Astrophys. J. 623, 585–596 (2005).
Buchler, J. R. & Yueh, W. R. Compton scattering opacities in a partially degenerate electron plasma at high temperatures. Astrophys. J. 210, 440–446 (1976).
Sharma, S., Bland-Hawthorn, J., Johnston, K. V. & Binney, J. Galaxia: a code to generate a synthetic survey of the Milky Way. Astrophys. J. 730, 3 (2011).
Sharma, S. et al. The K2-HERMES Survey: age and metallicity of the thick disc. Mon. Not. R. Astron. Soc. 490, 5335–5352 (2019).
Choi, J. et al. Mesa Isochrones and Stellar Tracks (MIST). I. Solar-scaled models. Astrophys. J. 823, 102 (2016).
Guggenberger, E., Hekker, S., Basu, S. & Bellinger, E. Significantly improving stellar mass and radius estimates: a new reference function for the Δν scaling relation. Mon. Not. R. Astron. Soc. 460, 4277–4281 (2016).
Rodrigues, T. S. et al. Determining stellar parameters of asteroseismic targets: going beyond the use of scaling relations. Mon. Not. R. Astron. Soc. 467, 1433–1448 (2017).
Serenelli, A. et al. The first APOKASC catalog of Kepler dwarf and subgiant stars. Astrophys. J. Suppl. Ser. 233, 23 (2017).
Pinsonneault, M. H. et al. The second APOKASC catalog: the empirical approach. Astrophys. J. Suppl. Ser. 239, 32 (2018).
Zinn, J. C. et al. Testing the radius scaling relation with Gaia DR2 in the Kepler field. Astrophys. J. 885, 166 (2019).
Casagrande, L. et al. The GALAH survey: effective temperature calibration from the InfraRed Flux Method in the Gaia system. Mon. Not. R. Astron. Soc. 507, 2684–2696 (2021).
Huber, D. et al. Asteroseismology and Gaia: testing scaling relations using 2200 Kepler stars with TGAS parallaxes. Astrophys. J. 844, 102 (2017).
Berger, T. A. et al. The Gaia–Kepler Stellar Properties Catalog. I. Homogeneous fundamental properties for 186,301 Kepler stars. Astron. J. 159, 280 (2020).
Gaia Collaboration et al. The Gaia mission. Astron. Astrophys. 595, A1 (2016).
Gaia Collaboration et al. Gaia Early Data Release 3: summary of the contents and survey properties. Astron. Astrophys. 649, A1 (2021).
Green, G. M., Schlafly, E., Zucker, C., Speagle, J. S. & Finkbeiner, D. A 3D dust map based on Gaia, Pan-STARRS 1, and 2MASS. Astrophys. J. 887, 93 (2019).
Li, T. et al. Asteroseismology of 36 Kepler subgiants—II. Determining ages from detailed modelling. Mon. Not. R. Astron. Soc. 495, 3431–3462 (2020).
Ong, J. M. J. et al. Mixed modes and asteroseismic surface effects. II. Subgiant systematics. Astrophys. J. 922, 18 (2021).
Ball, W. H. & Gizon, L. A new correction of stellar oscillation frequencies for near-surface effects. Astron. Astrophys. 568, A123 (2014).
Moe, M. & Di Stefano, R. Mind your Ps and Qs: the interrelation between period (P) and mass-ratio (Q) distributions of binary stars. Astrophys. J. Suppl. Ser. 230, 15 (2017).
Eggleton, P. P. Aproximations to the radii of Roche lobes. Astrophys. J. 268, 368–369 (1983).
Mazzola Daher, C. et al. Stellar multiplicity and stellar rotation: insights from APOGEE. Mon. Not. R. Astron. Soc. 512, 2051–2061 (2022).
van der Walt, S., Colbert, S. C. & Varoquaux, G. The NumPy array: a structure for efficient numerical computation. Comput. Sci. Eng. 13, 22–30 (2011).
Virtanen, P. et al. SciPy 1.0: fundamental algorithms for scientific computing in Python. Nat. Methods 17, 261–272 (2020).
Hunter, J. D. Matplotlib: a 2D graphics environment. Comput. Sci. Eng. 9, 90–95 (2007).
Astropy Collaboration et al. Astropy: a community Python package for astronomy. Astron. Astrophys. 558, A33 (2013).
Astropy Collaboration et al. The Astropy Project: building an open-science project and status of the v2.0 core package. Astron. J. 156, 123 (2018).
McKinney, W. Data structures for statistical computing in Python. In Proc. Ninth Python in Science Conference (eds van der Walt, S. & Millman, J.) 56–61 (2010).
Townsend, R. MESA SDK for Linux (2020).
Lightkurve Collaboration et al. Lightkurve: Kepler and TESS time series analysis in Python. Astrophysics Source Code Library ascl:1812.013 (2018).
McDonald, I., Johnson, C. I. & Zijlstra, A. A. Empirical determination of the integrated red giant and horizontal branch stellar mass-loss in ω Centauri. Mon. Not. R. Astron. Soc. 416, L6–L10 (2011).
Acknowledgements
We thank M. Hon, K. Brogaard and Y. Elsworth for their comments.
T.R.B and D.H. acknowledge funding from the Australian Research Council (Discovery Project DP210103119). D.H. also acknowledges support from the Alfred P. Sloan Foundation and the National Aeronautics and Space Administration (80NSSC19K0597). M.J. acknowledges the Lasker Fellowship grant. S.B. acknowledges the Joint Research Fund in Astronomy (U2031203) under a cooperative agreement between the National Natural Science Foundation of China (NSFC) and Chinese Academy of Sciences (CAS) and the NSFC grants 12090040 and 12090042. G.L. acknowledges support from the project BEAMING ANR-18-CE31-0001 of the French National Research Agency (ANR) and from the Centre National d’Etudes Spatiales (CNES).
We gratefully acknowledge the Kepler teams, whose efforts made these results possible. Funding for the Kepler mission is provided by the NASA Science Mission Directorate. This paper includes data collected by the Kepler mission and obtained from the MAST data archive at the Space Telescope Science Institute (STScI). STScI is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS 5–26555.
Guoshoujing Telescope (LAMOST) is a National Major Scientific Project built by the Chinese Academy of Sciences. Funding for the project has been provided by the National Development and Reform Commission. LAMOST is operated and managed by the National Astronomical Observatories, Chinese Academy of Sciences.
This work presents results from the European Space Agency (ESA) space mission Gaia. Gaia data are being processed by the Gaia Data Processing and Analysis Consortium (DPAC). Funding for the DPAC is provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement (MLA). The Gaia mission website is https://www.cosmos.esa.int/gaia. The Gaia archive website is https://archives.esac.esa.int/gaia.
Funding for the Sloan Digital Sky Survey IV has been provided by the Alfred P. Sloan Foundation, the US Department of Energy Office of Science and the participating institutions.
We acknowledge Sydney Informatics (a core research facility of the University of Sydney), the high performance computing (HPC) cluster Artemis from the University of Sydney, the HPC cluster headnode from the School of Physics and the HPC cluster Gadi from the National Computational Infrastructure (NCI Australia, an NCRIS-enabled capability supported by the Australian Government) for providing the HPC resources that have contributed to the research results reported within this paper.
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Y.L., T.R.B., D.S., Y.C., I.L.C. and G.L. analysed photometric data; S.J.M., D.H., X.Z., S.B and D.R.H. contributed to binary confirmation; Y.L., M.J. and D.M. constructed theoretical models; B.T.M., M.R.H., S.S. and Y.W. interpreted spectroscopic data. All authors discussed the results and commented on the manuscript.
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Nature Astronomy thanks Nicholas Rui, Oliver Hall and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
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Extended data
Extended Data Fig. 1 Galaxia simulation of CHeB stars in the Kepler field.
a, The seismic quantity \({\nu }_{\max }^{0.75}/{{\Delta }}\nu\) versus \({\nu }_{\max }\). The ZAHeB edge (the black dashed line) is represented by a spline (defined by the crosses). The inset of a shows the distribution of the vertical distances to the edge. The distribution is fitted by a half-Gaussian half-Lorentzian profile, shown by the green line. The standard deviation of the half-Gaussian profile represents the intrinsic broadening of the ZAHeB edge. b, The metallicity–mass diagram. The dashed line is the lowest mass a star can be without mass loss given a metallicity, determined with MIST models (see Methods).
Extended Data Fig. 2 Power spectra for three representative stars, including a regular CHeB star (a), an underluminous star (b), and a very low-mass star (c).
The right panels show their locations on the mass–radius diagram marked by the star symbols. The power spectra (grey lines) are smoothed by 0.06Δν (overlaid black lines). The integers 0–2 represent the angular-degree l. The locations of \({\nu }_{\max }\) are indicated by the arrows. The observed values of Δν and ΔP (see Extended Data Fig. 3) are represented by the lengths of the black line segments.
Extended Data Fig. 3 Period échelle diagrams for the regular CHeB star (a), the under-luminous star (b), and the very-low-mass star (c) that are shown in Extended Fig. 2.
The modes are marked by circles (l = 0), triangles (l = 1) and squares (l = 2). Error bars are not shown. The blue dashed lines connect the l = 1 modes in order. We adjusted the widths of the échelle diagrams such that the l = 1 modes form a “zigzag” pattern37. Those widths correspond to the period spacings of l = 1 modes, which confirm them as CHeB stars.
Extended Data Fig. 4 Stellar models for KIC 8367834 within 3σ of the classical constraints, colour-coded with probability using constraints from parallax, Teff, metallicity, and oscillation frequencies.
a, The Hertzsprung–Russell diagram. b, The mass–radius diagram. c, The seismic quantity \({\nu }_{\max }^{0.75}/{{\Delta }}\nu\) versus \({\nu }_{\max }\). d, Mass versus \({\nu }_{\max }\). The black boxes show the 1.5σ confidence regions, either directly from observations (L, Teff, \({\nu }_{\max }\), Δν) or from the scaling relations (M, R).
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Supplementary Fig. 1 and Tables 1 and 2.
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Li, Y., Bedding, T.R., Murphy, S.J. et al. Discovery of post-mass-transfer helium-burning red giants using asteroseismology. Nat Astron 6, 673–680 (2022). https://doi.org/10.1038/s41550-022-01648-5
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DOI: https://doi.org/10.1038/s41550-022-01648-5