I know that it is not possible, however, this thought keeps me awake and make me thinks a lot.
Is it possible to create an atom artificially from free protons, electrons and the neutrons??
I know that it is not possible, however, this thought keeps me awake and make me thinks a lot.
Is it possible to create an atom artificially from free protons, electrons and the neutrons??
Yes, but why bother? There is an incentive to make antiparticles, for example beams of antielectrons or antiprotons, see for example https://en.wikipedia.org/wiki/Antiproton_Collector
Atoms of anti-hydrogen have also been produced: https://www.nature.com/articles/nature21040.pdf
The microcosm of elementary particles, atoms, molecules is described mathematically by quantum mechanical models, very successfully. Quantum mechanics give only the probability of something happening.
In classical physics models, if something is possible one can control the parameters so it can happen. The system is deterministic. In quantum mechanics if the probability of something happening is very small it cannot be forced to happen . So quantum mechanics solutions with low probabilities are not possible to happen within our lifetimes.
In principle given enough energy input in any quantum mechanical interaction the wavefunction of creating a pair of particle-antiparticle gives a probability for them to be created, but it is very very small and cannot be controlled in the sense of your question "create" which implies large probabilities. The creation cannot be controllable at the quantum level , only probable.
In addition there are quantum numbers that have to be conserved at the quantum framework. That is why creation has to happen in pairs of particle-antiparticle , so that the quantum numbers add up to zero.
So scientists have created for example antiproton beams by providing enough energy to get the probability of creating proton antiproton pairs in an interaction, and separating the antiprotons, but it is a statistically controlled process.
The higher the mass of the particle the smaller the probability of pair creating.
Even in cosmological models, where the energies are very high, nucleosynthesis has complicated models to be explained, because even at those energies the probability of getting an atom antiatom pair is very small.
Is it possible to create an atom, proton, neutron and electron?
Pair production given enough energy can produce particle-antiparticle pairs of these, electron-positron, proton-antiproton, neutron-antineutron are low enough mass to be created in our laboratory beams , because the quantum mechanical probability is large enough. For higher masses one would have to manipulate products, to create more complicated atoms, with prohibitive experimental difficulties, because the probability of atom-antiatom pair creation is very very small.