Exact and approximate expressions of energy generation rates and their impact on the explosion properties of pair instability supernovae

Koh Takahashi, Takashi Yoshida, Hideyuki Umeda, Kohsuke Sumiyoshi, Shoichi Yamada

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    Abstract

    Energetics of nuclear reaction is fundamentally important to understand the mechanism of pair instability supernovae (PISNe). Based on the hydrodynamic equations and thermodynamic relations, we derive exact expressions for energy conservation suitable to be solved in simulation.We also show that some formulae commonly used in the literature are obtained as approximations of the exact expressions. We simulate the evolution of very massive stars of ~100-320 Mo˙ with zero- and 1/10 Zo˙, and calculate further explosions as PISNe, applying each of the exact and approximate formulae. The calculations demonstrate that the explosion properties of PISN, such as the mass range, the 56Ni yield, and the explosion energy, are significantly affected by applying the different energy generation rates.We discuss how these results affect the estimate of the PISN detection rate, which depends on the theoretical predictions of such explosion properties.

    Original languageEnglish
    Pages (from-to)1320-1331
    Number of pages12
    JournalMonthly Notices of the Royal Astronomical Society
    Volume456
    Issue number2
    DOIs
    Publication statusPublished - 2015 Dec 1

    Fingerprint

    supernovae
    explosions
    explosion
    energy
    hydrodynamic equations
    energy conservation
    massive stars
    nuclear reactions
    energetics
    thermodynamics
    hydrodynamics
    rate
    estimates
    prediction
    predictions
    approximation
    simulation

    Keywords

    • Methods: numerical
    • Stars: evolution
    • Supernovae: general

    ASJC Scopus subject areas

    • Space and Planetary Science
    • Astronomy and Astrophysics

    Cite this

    Exact and approximate expressions of energy generation rates and their impact on the explosion properties of pair instability supernovae. / Takahashi, Koh; Yoshida, Takashi; Umeda, Hideyuki; Sumiyoshi, Kohsuke; Yamada, Shoichi.

    In: Monthly Notices of the Royal Astronomical Society, Vol. 456, No. 2, 01.12.2015, p. 1320-1331.

    Research output: Contribution to journalArticle

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    AU - Yoshida, Takashi

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    AU - Sumiyoshi, Kohsuke

    AU - Yamada, Shoichi

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