When the temperature was 1 MeV
t ~ 1 s
Recall the starting point from when the temperature was 10 MeV.
- Photons.
- Neutrinos and antineutrinos.
- Electrons and antielectrons.
- A comparatively very small number of protons and neutrons.
- Number of protons = number of neutrons.
- Energy difference between a proton and a neutron is
small, only about 1 MeV.
- Weak interactions establish an equilibrium
- p + electron <--> n + neutrino.
- p + antineutrino <--> n + antielectron.
- No nuclei.
- If one forms, it is is quickly broken up in, say, a collision
with a high energy photon.
Now at T ~ 1 MeV three things happen at approximately the
same time
(1) Neutrino's decouple
- The reaction
e+ + e- <--> neutrino + antineutrino
is not fast enough at the lower density and lower energy.
- Other
neutrino interactions are similarly too rare to have much effect.
-
The neutrinos and antineutrinos remain, but they no longer interact
significantly with the rest of matter.
-
The neutrinos should still be here.
- They should form a neutrino background radiation with a temperature
of 1.96 K.
- They are thus a little cooler than the photon background radiation
with a temperature of 2.73 K.
- We can see the photon background, but the neutrino background remains
so far undetected.
(2) e+ and e- annihilate
- The energy it takes to make an electron plus an antielectron is
about 1 MeV.
- Even after the neutrino reactions have become ineffective,
the reaction
e+ + e- <--> photon + photon
would keep the number of electrons equal to the number of photons.
- But with the temperature dipping, the photons no longer have
so much energy.
- The reaction
photon + photon --> e+ + e-
stops happening.
- The reaction
e+ + e- --> photon + photon
continues.
- In less than a second, almost all of the electrons and antielectrons
are gone.
- Almost all, but there were a few more electrons than antielectrons.
- When all of the antielectrons are gone, the few extra electrons remain
behind.
(3) Neutrons start to turn into protons
- As the temperature dips, the reactions
- p + electron --> n + neutrino.
- p + antineutrino --> n + antielectron.
that turn protons into neutrons slow down because neutrons have about 1 MeV
more energy than protons and it is hard to find that much energy any more.
- But the reactions
- n + neutrino --> p + electron.
- n + antielectron --> p + antineutrino.
continue with full intensity.
- The ratio of neutrons to protons starts to drop.
- Just as the ratio of neutrinos to protons is dropping to zero, the
neutrino reactions are becomming ineffective.
- The ratio becomes almost frozen at
(number of neutrons)/(number of protons) ~ 1/6.
- Over the next couple of minutes, this ratio will slowly decrease
to about 1/7.
Davison E. Soper, Institute of Theoretical Science,
University of Oregon, Eugene OR 97403 USA
soper@bovine.uoregon.edu