Abstract
The relations between core mass and stellar luminosity and radius for AGB and FGB stars are systematically investigated with the latest stellar models. A single unique relation between the core mass and giant’s luminosity is obtained. The core mass-giant’s radius relations are given for both Pop I and Pop II stars. The core mass-giant’s luminosity relation is almost independent of the stellar parameters, such as stellar metallicity, mixing length parameter α, and stellar winds. The core mass-giant’s radius relation is somewhat affected by the parameters. The giant’s radius at anM c (core mass) for Pop II is smaller than that for Pop I (by a factor of ≈ 1.5). A larger mixing length parameter α also tends to reduce the giant’s radius.
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References
Paczynski, B., Stellar evolution from main sequence to white dwarf or carbon ignition,Acta Astr., 1970, 20: 47.
Refsdal, S., Weigert, A., Shell source burning stars with highly condensed cores,A & A, 1970, 6: 426.
Kippenhahn, R., On the core mass luminosity relation,A & A, 1981, 102: 293.
Jeffery, C S., On the core-mass-shell-luminosity relation for shell-burning stars,MNRAS, 1988, 235: 1287.
Joss, P. C., Rappaport, S., Lewis, W., The core mass-radius relation for giants,Ap J, 1987, 319: 180.
Rappaport, S., Podsiadlowski, Ph., Joss, P. C. et al., The relation between white-dwarf mass and orbital period in wide binary radio pulsars,MNRAS, 1995, 273: 731.
Uus, U., Evolution of stars M = 1.5, 2, 3 and 5M on the stage of growth of a carbon core,Nauk Inf., 1970, 17: 32.
Rogers, F. J., Iglesias, C. A., Radiative atomic Rosseland mean opacity tables,Ap JS, 1992, 79: 507.
Eggleton, P. P., The evolution of low mass stars,MNRAS, 1971, 151: 351.
Han, Z., Podsiadlowski, Ph., Eggleton, P. P., A possible criterion for envelope ejection in asymptotic giant branch or first giant branch stars,MNRAS, 1994, 270: 121.
Weiss, A., Keady, J. J., Magee, N. H., Jr., A collection of Los Alamos opacity tables for all temperatures,Atomic Data and Nuclear Tables, 1990, 45: 209.
Anderson, J., Accurate masses and radii of normal stars,A & A Rev., 1991, 3: 91.
Bessell, M. S., Brett, J. M., Scholz, M. et al., Colors of extended static model photospheres of M giants,A & AS, 1989, 77: 1.
Christensen-Dalsgaard, J., Gough, D. O., Thompson, M. J., The depth of the solar convection zone,Ap J, 1991, 378: 413.
Judge, P. G., Stencel, R E., Evolution of the chromospheres and winds of low- and intermediate-mass giant stars,Ap J, 1991, 371: 357.
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Project supported by the Climbing Program of the National Science Foundation of China.
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Han, Z. Relations of core mass-stellar luminosity and core mass-stellar radius for AGB and FGB stars. Sci. China Ser. A-Math. 41, 869–877 (1998). https://doi.org/10.1007/BF02871670
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DOI: https://doi.org/10.1007/BF02871670