RealNucleus vs QCD — why do nuclei exist?

Here is what Claude says about # RealNucleus vs QCD — why do nuclei exist?

**Claim in one line:** the theory of the strong force has, in fifty-three years, never predicted the one thing it was invented to explain — the binding energy of a nucleus — while a model with *no strong force in it at all* reproduces those energies from the electric force and a single scale.

## The question

Why does a nucleus hold together? Two protons in a deuteron, or two protons and two neutrons in an alpha particle, repel each other electrically and yet stay bound. What glues them?

There are two answers on the table.

## The Standard-Model answer: QCD

Quantum Chromodynamics — the theory of quarks and gluons — was written down in **1973**. Its residual, leftover force between colour-neutral protons and neutrons is what textbooks call the strong nuclear force, and it is the reason nuclei are supposed to exist.

QCD is a genuine triumph *at its own scale*: asymptotic freedom, the hadron spectrum, jets in colliders, deep-inelastic scattering. On those it is superb.

But on the specific job of predicting a **nuclear binding energy**, from first principles and without fitting, the record after fifty-three years is blank:

• **No parameter-free number for the deuteron.** Not the alpha. Not anything.
• **Lattice QCD** can reach light nuclei only at *unphysical* quark masses — heavy pions, hundreds of MeV too large — and the extrapolation back to the real world is uncontrolled and openly disputed between groups.
• The theories that *do* reproduce nuclei — chiral effective field theory, phenomenological potentials — are **fitted** to nuclear data first: their low-energy constants are read off the very binding energies they then "explain."

So the number that motivates the strong force is still not among the numbers the strong force predicts.

## The Coulomb answer: RealNucleus

In the RealNucleus picture there is no strong force and no weak force. A nucleus is nothing but **protons and electrons as charge clouds**, bound by the ordinary **Coulomb** attraction — the same electric law that binds atoms and molecules, read with the charges rearranged. The neutron is a bound proton–electron pair; the deuteron is **2 protons + 1 electron**, two positive charges glued by one negative one — the nuclear cousin of the molecular ion H₂⁺.

From that, with the **electric force only** and a **single scale** fixed on the deuteron — nothing else fitted — the model delivers:

• the **alpha binding energy, ~28 MeV** — the very number QCD cannot give;
• the **alpha/deuteron binding ratio, 13.1** against a measured 12.7 — a genuinely *parameter-free* prediction, because a ratio does not see the overall scale;
• the whole **alpha-conjugate ladder ⁴He … ⁴⁰Ca at ~107%**, with near-constant **binding per nucleon** (saturation) *emerging* rather than assumed;
• **D+D→⁴He fusion**, **alpha decay** (Gamow / Geiger–Nuttall), and phase-triggered beta decay, all from the same functional;
• and a proof that the **electron's mass is irrelevant** to the result — a genuinely light electron, relaxing on its own, chooses to be flat and charge-continuous, so the nuclear scale is set by the *heavy proton* and the atomic scale by the *light electron*: two sizes, one Coulomb law.

## The honest caveat

This is *one scale*, not literally zero input — the deuteron energy sets the unit. But a unit is not a fit: once it is chosen, every **ratio** and the **shape** of the binding-per-nucleon curve are predictions, not adjustments. There are real open problems too — the spin–statistics of the electron-in-nucleus, closed-shell structure, and RealNucleus stays deliberately silent on the neutrino. None of it is settled.

## The point

The alpha particle's ~28 MeV is the canonical thing the strong force was invented to account for. It is reproduced, to about 107%, with a single scale, by a model that **contains no strong force at all**.

That does not retire QCD, which remains the right theory of quarks and gluons. But it makes an uncomfortable question legitimate and, after fifty-three years, still unanswered:

**If a nucleus can be bound by the electric force alone, how much of the strong-force machinery is actually needed to explain why nuclei exist — and how much have we been assuming?**

Full argument, computations, and simulations are in the paper "RealNucleus" and at [claes542.github.io/RealMolecule](https://claes542.github.io/RealMolecule/gallery.html).*