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Prog. Theor. Phys. Vol. 27 No. 6 (1962) pp. 1233-1252

Evolution of a Star with Intermediate Mass after Hydrogen Burning. I

Chushiro Hayashi, Minoru Nishida and Daiichiro Sugimoto

Department of Nuclear Science, Kyoto University, Kyoto

(Received January 27, 1962)

Abstract:

The evolution of a population I star of 4M_⊙, after the formation of a dehydrogenized core and a hydrogen burning shell, is calculated up to the stage when helium has almost burnt out in the central region. This course of the evolution is divided into three phases. In the first phase, the star has a hydrogen burning shell and an isothermal core, and the star stays near the main sequence for 2.1 ×10⁶ years, until the mass fraction of the core grows to 0.120 beyond which there exists no solution with an isothermal core. In the second phase, the core of the star contracts rapidly releasing gravitational energy while the envelope expands. The central temperature increases and the star comes to the red giant region in 1.1 ×10⁶ years before helium begins to burn. In this course electrons do not become degenerate and 4M_⊙ is found to be near a critical stellar mass devoid of the formation of a degenerate isothermal core. Finally in the phase of helium burning, the core expands and the envelope shrinks slowly until the helium content in the central region decreases to 0.3. Afterwards the envelope expands again. The lifetime of the helium burning phase is 2.1 ×10⁷ years and the star spends half of this time as an A-type giant near the turning point. Effects of uncertainties in nuclear energy generation rates, opacity and chemical compositions are examined on the structure of this A-type giant. Even if these uncertainties are taken into account, a separate group of A-type giants in the H-R diagram of NGC 458 can be identified with the helium burning phase. The observed number of these stars is consistent with the calculated lifetime.

URL : http://ptp.ipap.jp/link?PTP/27/1233/
DOI : 10.1143/PTP.27.1233

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 29 No. 1 (1963) pp. 29-43 :

   Thermonuclear Reactions in Stars Involving Heavy Ions up to the Formation of Iron Nuclei

   Hiroshi Tsuda

2. Progress of Theoretical Physics Vol. 30 No. 2 (1963) pp. 170-190 :

   On the Explosion of Type II Supernova

   Noboru Ohyama

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