With core fusion halted, the main source of thermal pressure disappears. The inert helium core contracts under gravity, releasing potential energy that raises its temperature. Hydrogen fusion ignites in a thin shell surrounding the core, and the enormous energy output from this shell causes the stellar envelope to expand and cool. The star ascends the red‑giant branch.
The contracting helium core becomes electron‑degenerate and continues to heat until it reaches the temperature required for helium ignition, around 10⁸ K. In stars of this mass range, helium ignition often occurs as a helium flash, a brief thermonuclear runaway that does not disrupt the star. After the flash, the core stabilizes and burns helium into carbon and oxygen through the triple‑alpha process.
This phase is temporary. When helium is depleted, the star is left with a carbon‑oxygen core. For stars below roughly 8 M☉, the core never reaches the temperatures required for carbon fusion. Fusion ceases permanently, and the star enters its final evolutionary stages.
The degenerate carbon‑oxygen core is supported by electron degeneracy pressure and cannot exceed the Chandrasekhar limit of about 1.44 M☉. During the asymptotic giant branch phase, the outer envelope is expelled through strong stellar winds. The exposed hot core ionizes this ejected material, forming a planetary nebula.
The remaining core becomes a white dwarf: an extremely dense object with a mass around 0.6 M☉ compressed into a volume comparable to Earth. Its initial surface temperature exceeds 100,000 K. With no internal energy source, the white dwarf cools slowly over billions of years, eventually fading into a cold, inert black dwarf.
Reference:
(2) Bressan & Shepherd, The Post‑Main Sequence Evolution of Low‑ and Intermediate‑Mass Stars to the White Dwarf Phase.