Now for some nuclear fine tuning.
Let's consider the first nuclides up from the nucleons.
The deuteron (pn): binding energy +2.2 MeV
From Weizsäcker's semi-empirical mass formula, the binding-energy volume effect is +16 MeV/nucleon, so a deuteron has a low binding energy by nuclear standards.
The dineutron (nn) and the diproton (pp) are borderline unstable. The Effect of Hypothetical Diproton Stability on the Universe If the strong interaction was about 2% stronger, then diprotons would be stable.
This could come about by the pion having lower mass, thus extending the reach of the nucleon-nucleon interaction. The pions' masses are, to first approximation,
sqrt( EQCD * (mup + mdown) )
So lowering the up and down quarks' masses should do it.
R. A. W. Bradford calculates that increasing the strength of the strong interaction by 2% should be enough to make diprotons stable. But once a diproton or a dineutron is formed, it will decay to a deuteron. So deuterium may be the most common form of hydrogen in the Universe.
There's also the interesting conundrum of what would happen if the proton is more massive than the neutron, or even if (proton + electron) is more massive than the neutron. This means that neutrons will wander free until they encounter nuclei, including other neutrons. A dineutron will make a deuteron, and here also, deuterium may be the most common hydrogen isotope.
So we get weird universes rather than necessarily-sterile ones.
Let's consider the first nuclides up from the nucleons.
The deuteron (pn): binding energy +2.2 MeV
From Weizsäcker's semi-empirical mass formula, the binding-energy volume effect is +16 MeV/nucleon, so a deuteron has a low binding energy by nuclear standards.
The dineutron (nn) and the diproton (pp) are borderline unstable. The Effect of Hypothetical Diproton Stability on the Universe If the strong interaction was about 2% stronger, then diprotons would be stable.
This could come about by the pion having lower mass, thus extending the reach of the nucleon-nucleon interaction. The pions' masses are, to first approximation,
sqrt( EQCD * (mup + mdown) )
So lowering the up and down quarks' masses should do it.
R. A. W. Bradford calculates that increasing the strength of the strong interaction by 2% should be enough to make diprotons stable. But once a diproton or a dineutron is formed, it will decay to a deuteron. So deuterium may be the most common form of hydrogen in the Universe.
There's also the interesting conundrum of what would happen if the proton is more massive than the neutron, or even if (proton + electron) is more massive than the neutron. This means that neutrons will wander free until they encounter nuclei, including other neutrons. A dineutron will make a deuteron, and here also, deuterium may be the most common hydrogen isotope.
So we get weird universes rather than necessarily-sterile ones.