The rates of Type Ia Supernovae. I. Analytical Formulations

Details The rates of Type Ia Supernovae. I. Analytical Formulations The rates of Type Ia Supernovae. I. Analytical Formulations

2005-04-18

arxiv.org/abs/astro-ph/0504376v2

Astron.Astrophys.441:1055-1078,2005

Astronomy and Astrophysics

Astrophysics

28 pages, 18 figures, Astronomy and Astrophysics accepted, added 3 references

Scientific paper

10.1051/0004-6361:20052926

This paper provides a handy tool to compute the impact of Type Ia Supernova (SNIa) on the evolution of stellar systems. An effective formalism is presented to couple the SNIa rate to the star formation history, which rests upon the definition of two key properties of the progenitor's model: the realization probability of the SNIa event from a single stellar generation and the distribution function of the delay times. It is shown that the current SNIa rate in late type galaxies implies that the realization probability is on the order of 0.001. Analytical formulations for the distribution function of the delay times for Single (SD) and Double Degenerate (DD) progenitors are derived, based on stellar evolution arguments. These formulations, which agree well with the results of Monte Carlo simulations for the evolution of close binaries, have a built in parametrization of the key properties of the alternative candidates. The various models for the progenitors have different impact on the large scales. In particular, the paper examines the systematic trend of the SNIa rate per unit mass with the color of the parent galaxy, and shows that the recent observations favor the DD model. The SD scenario can reproduce the data only if the distribution of the primordial mass ratios is flat, and the accretion efficiency onto the WD is close to 100%. The timescale for the Fe release from SNIa to the interstellar medium ranges between 0.3 and 3 Gyr for a wide variety of hypothesis on the SNIa progenitors. (ABRIDGED)

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