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Found: Elusive particle!
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<blockquote data-quote="freyar" data-source="post: 5884549" data-attributes="member: 40227"><p>I appreciate speaking for the technical audience, and I am also using "in the same place" to mean "in the same state." But that really has nothing to do with annihilation. It's that last paragraph that's a problem. It has nothing to do with boson vs fermion. An electron and positron with overlapping wavefunctions ("in the same place") are not *required* to annihilate any more than two photons or Higgs bosons are. In each of these cases, there is a probability that the two particles will annihilate (see below about terminology) in any given time. </p><p></p><p>The real problem I see with what you've said (and what the article says) is that it mixes up the Pauli exclusion principle with annihilation. They are not related in any way. Just think about what I said before. An electron and positron are not the same kind of particle, so the Pauli exclusion principle does not apply. Yet they are the poster children for particle annihilation. Two electrons do feel the Pauli exclusion principle -- they can never be "in the same place" --- but they can never annihilate. That's forbidden.</p><p></p><p></p><p></p><p></p><p>In usual QED, it's just a single box diagram. It's just the terminology that 2 things in and 2 other things out is annihilation (or pair creation) while 2 things in and 2 of the same things out is scattering. But...</p><p></p><p></p><p></p><p>Fair enough.</p></blockquote><p></p>
[QUOTE="freyar, post: 5884549, member: 40227"] I appreciate speaking for the technical audience, and I am also using "in the same place" to mean "in the same state." But that really has nothing to do with annihilation. It's that last paragraph that's a problem. It has nothing to do with boson vs fermion. An electron and positron with overlapping wavefunctions ("in the same place") are not *required* to annihilate any more than two photons or Higgs bosons are. In each of these cases, there is a probability that the two particles will annihilate (see below about terminology) in any given time. The real problem I see with what you've said (and what the article says) is that it mixes up the Pauli exclusion principle with annihilation. They are not related in any way. Just think about what I said before. An electron and positron are not the same kind of particle, so the Pauli exclusion principle does not apply. Yet they are the poster children for particle annihilation. Two electrons do feel the Pauli exclusion principle -- they can never be "in the same place" --- but they can never annihilate. That's forbidden. In usual QED, it's just a single box diagram. It's just the terminology that 2 things in and 2 other things out is annihilation (or pair creation) while 2 things in and 2 of the same things out is scattering. But... Fair enough. [/QUOTE]
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