Definitions Flashcards
Penetrability
Probability for projectile
to reach the target
nucleus for interaction. It’s affected by the angular momentum barrier (l=0 s-wave, l=1 p-wave etc.) and the coulomb barrier.
s-process
Nucleus undergoes neutron capture to form an isotope of one higher mass number.
If the new isotope is stable then a series of increases in mass can occur, but if it is unstable then beta-decay will occur, producing something with z+1.
The process is slow because there is sufficient time for this radioactive decay to occur before another neutron is captured.
A series of these reactions produces stable isotopes by moving along the valley of beta-decay stable isobars in the table of nuclides.
Abundance peaks at magic neutron numbers arise because the full shells don’t want another neutron so the process flow is broken.
Thermonuclear runaway in Type-I X-ray bursts
Mass transferred from donor star accumulates on the surface of the neutron star until it ignites and fusion begins via the CNO-cycle. Continued accretion creates a degenerate shell of matter causing an increase in temperature and the triple-alpha cycle becomes favoured, resulting in a helium flash. The additional energy from the flash allows the CNO burning to breakout into thermonuclear runaway. Early phase is powered by the alpha-p process, which quickly changes to the rp-process.
Main observational features are: fast rise time, short duration, and sometimes a double peak in luminosity.
Yeild
Total number of reactions / Total number of incident particles
Degeneracy
- When average distance < de Broglie wavelength matter becomes degenerate
- Pauli exclusion principle: no two fermions in same quantum state
- Electrons fill quantum states up to certain energy
- degenerate gas strongly resists further compression (degeneracy pressure against
forcing particles into higher energy states) - unlike ideal gas, pressure is NOT proportional to temperature (only density)
- increase of temperature DOES NOT affect pressure
- at high enough temperature the degeneracy can be lifted à gas becomes ideal
- maximum mass that can be supported by electron degeneracy given by
Chandrasekhar limit: ~ 1.44 M¤
Binding energy
Energy needed to break nucleus into Z protons and N neutrons.
Separation energy S
Energy required to remove nucleon from nucleus of mass A+1 = Energy gained when adding nucleon to
nucleus of mass A
Resonance strength
Integrated cross-section over resonant region.
r-process
Rapid neutron capture. Nucleus reacts before capturing decay.
p-process
In the γ process, a seed distribution (from s- and r- nucleosynthesis) is
eroded by photodisintegration reactions at high temperatures