Context. The formation of subdwarf B (sdB) stars is not well understood within the current framework of stellar single and binary evolution. Aims. In this study, we focus on the formation and evolution of the pulsating sdB star in the very short-period eclipsing binary PG 1336−018. We aim at refining the formation scenario of this unique system, so that it can be confronted with observations. Methods. We probe the stellar structure of the progenitors of sdB stars in short-period binaries using detailed stellar evolution calculations. Applying this to PG 1336−018 we reconstruct the common-envelope phase during which the sdB star was formed. The results are interpreted in terms of the standard common-envelope formalism (the α-formalism) based on the energy equation, and an alternative description (the γ-formalism) using the angular momentum equation. Results. We find that if the common-envelope evolution is described by the α-formalism, the sdB progenitor most likely experienced a helium flash. We then expect the sdB mass to be between 0.39 and 0.48 M , and the sdB progenitor initial mass to be below ∼2 M . However, the results for the γ-formalism are less restrictive, and a broader sdB mass range (0.3-0.8 M ) is possible in this case. Future seismic mass determination will give strong constraints on the formation of PG 1336−018 and, in particular, on the CE phase.Key words. subdwarfs -stars: evolution -binaries: close -binaries: eclipsing -methods: numerical
IntroductionSubdwarf B (sdB) stars are the dominant population of faint blue objects at high galactic latitudes (Green et al. 1986), and are found in both the disk and halo. They are also ubiquitous in giant elliptical galaxies, where they are believed to be the main source of the ultraviolet excess (Brown et al. 1997). In the Hertzsprung-Russell diagram they lie on the blue extension of the Horizontal Branch, and are therefore also known as Extreme Horizontal Branch (EHB) stars. It is generally thought that they are low mass (0.5 M ) core-helium burning stars with extremely thin hydrogen envelopes (<0.02 M ) (Heber 1986;Saffer et al. 1994). Their envelopes are too thin to sustain hydrogen burning, hence they will evolve directly to the white dwarf cooling track after core-helium exhaustion, without going through the Asymptotic Giant Branch and Planetary Nebulae phases.It is not clearly understood how the sdB progenitor manages to loose almost its entire hydrogen-envelope, but nevertheless starts core-helium fusion. Both single star evolution with enhanced mass loss on the Red Giant Branch (RGB) (D'Cruz et al. 1996), and binary evolution models (Mengel et al. 1976) have been proposed as formation channels. Extensive surveys show that a large fraction of sdB stars are in binaries (e.g. Allard et al. 1994;Morales-Rueda et al. 2006). This motivated Han et al. (2002Han et al. ( , 2003 to perform a detailed investigation of the main binary evolution channels that can produce an sdB star. They found that an sdB star can be formed after one or two commonenve...