Why electron cannot exist in the nucleus?
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Answer:
Orbital electrons DO NOT EXIST inside the nucleus. Quantum physics tells us why. An electron exists inside an atom only when and where allowed by its energy. The quantum energy of an electron inside the atom forbids it from existing in it. Some say that the probability of an electron existing in a nucleus is zero. Some say no, it’s not. There is a probability of an electron to exist in the nucleus, but its lifetime there is LESS that 1 E -19 seconds. This time is too short for anyone to OBSERVE it in the nucleus, at least with current technology. The quantum rule for events is: if it is not observed, it did not happen. Since it can’t be observed in the nucleus (at least not yet), they never existed in it.
There have been experiments that attempted to bombard a nucleus with electrons in order to get one of them inside. But the success of such attempts were negated by the quantum rule.
There are electrons, however, that are in the nucleus, because they were BORN there. But as soon as they are born, they leave the nest, so to speak. We call these electrons Beta + and Beta - particles, because they are born inside the nucleus as a result of neutron decay. But they leave, rather quickly at that.