Evolution of High-Mass Stars Notes

High-Mass Stars: Evolution

Characteristics

  • Greater gravitational force leads to higher temperature and pressure.

  • Increased nuclear fusion rate.

  • More luminous.

  • Shorter lifespans.

Nuclear Fusion

  • Convert hydrogen to helium via the carbon-nitrogen-oxygen (CNO) cycle.

  • CNO cycle: hydrogen fuses to helium using carbon as a catalyst; more efficient than the proton-proton chain.

  • Convection mixes hydrogen in the core, increasing mass available for fusion.

Post-Main-Sequence Evolution

  • Evolve into supergiants.

  • Ignite helium in a nondegenerate core.

  • Radius increases, temperature decreases, luminosity remains constant.

  • Heavier elements (C, Ne, etc.) fuse with rising central temperatures.

  • Fusion shells build up like onion layers until iron is created.

Instabilities

  • Can pass through the instability strip on the HR diagram.

  • Become variable stars with regular luminosity changes.

  • Period-luminosity relationship used for determining distances.

  • Types of pulsating stars:

    • Cepheid variables: high-mass stars becoming supergiants, periods from 1 to 100 days.

    • RR Lyrae variables: low-mass stars on the horizontal branch, less luminous than Cepheid variables.

Final Days

  • Many stages of nuclear fusion, each stage progressively shorter.

  • Example: Silicon burning lasts only a few days.

  • Neutrino production carries away energy (neutrino cooling).

End of Fusion

  • Binding energy: energy required to break a nucleus.

  • Iron cannot generate energy by fusion because it has the highest binding energy.

  • Fusion stops once an iron core is formed, leading to core collapse.

Core Collapse

  • Photodisintegration: gamma rays break apart iron.

  • Charge destruction: electrons forced into protons, producing neutrons and neutrinos.

Type II Supernova

  • The core collapses until nuclear forces become repulsive.

  • The overcompressed core bounces, driving outer layers outward.

  • A lot of energy is emitted (1 billion Suns’ worth of light).

  • Kinetic energy is transferred to the interstellar medium (ISM) as a shock wave.

  • Nucleosynthesis: new elements are created in the explosion.

  • All atoms heavier than iron are made in supernova explosions.

Neutron Stars

  • Type II supernova leaves behind a neutron-degenerate core: a neutron star.

  • Mass: 1.4 to 2MSun1.4 \text{ to } 2 M_{\text{Sun}}, radius: ~6 miles.

Neutron Stars: Pulsars

  • Strong magnetic fields.

  • Electrons and positrons produce radiation beamed from the poles.

  • The star appears to pulse on and off as the beams sweep past an observer.

Neutron Stars: X-ray Binary Systems

  • An evolving star overflows its Roche lobe, pouring matter onto its neutron star companion.

  • Infalling matter heats the accretion disk to X-ray-emitting temperatures.

  • Relativistic jets are emitted from the rotating neutron star.

Crab Nebula

  • Remnant of a Type II supernova witnessed in 1054 CE.

  • Powered by a pulsar.

Star Clusters

  • Bound groups of stars formed at the same time from the same material.

  • Globular clusters: very dense, up to millions of stars.

  • Open clusters: looser, a few dozen to a few thousand stars.

Star Clusters: H-R Diagram

  • The presence of massive, hot stars indicates a young open cluster.

  • The absence of massive, hot stars indicates an old globular cluster.

  • Cluster age is determined from the main-sequence turnoff.

Composition of Stars

  • Young stars have more massive elements.

  • Supernovae seed the universe with massive elements.

Process of Science

  • Occam’s razor: The simplest answer is often the correct one.

Binding Energy of Atomic Nuclei

  • Net energy released is the difference between the binding energy of products and reactants.

Gravity on a Neutron Star

  • High surface gravity and escape velocities due to incredible density.

Composition of Planets

  • Supernovae seed the universe with massive elements; elements heavier than boron form from dying, massive stars.