There were attempts to formulate (effective) nucleon theories, but all these theories turned out to be non-renormalizable. One must use QCD based on quarks and gluons instead. But turning a proton into a neutron (an u- into a d-quark) requires electro-weak theory as only W-bosons change flavours.paweld said:Is it possible to incorporate into Dirac equation for proton
the possibility of its transformation into neutron (isospin freedom)?
I am not so sure about that; non-renormalizability is acceptable (not acceptable) for effective theories (fundamental theories); but uis it necessary the case that effective theories must be non-renormalizable? or let's ask the other way round: what would it mean to have a renormalizable effective theory?DrDu said:Isn't non-renormalisability quasi a charateristic of any effective field theory?
The Dirac equation for a proton/neutron is a relativistic wave equation that describes the behavior of these particles. It was developed by physicist Paul Dirac in the 1920s and combines the principles of special relativity and quantum mechanics.
The Dirac equation takes into account the spin of particles, whereas the Schrödinger equation does not. It also accounts for the effects of special relativity, making it applicable to high-speed particles.
The Dirac equation is a fundamental equation in particle physics, as it accurately describes the behavior of fermions (particles with half-integer spin) such as protons and neutrons. It is also used in the study of quantum field theory and has been instrumental in the development of the standard model of particle physics.
While the Dirac equation provides a mathematical description of the behavior of protons and neutrons, it cannot be used alone to predict their properties such as mass and charge. These values must be experimentally measured and then incorporated into the equation to make accurate predictions.
Yes, the Dirac equation can be applied to other fermionic particles such as electrons, quarks, and neutrinos. It is also used in the study of antimatter and has been successfully used to predict the existence of the positron, the antiparticle of the electron.