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fermions vs bosons |
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| Aug17-12, 09:25 AM | #18 |
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fermions vs bosons |
| Aug17-12, 09:37 AM | #19 |
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As far as I am aware there is no particle reaction which has as inputs only fermions and as outputs only bosons other than matter-antimatter annihilation. However, I am not a particle physicist, so there may be some of which I am not aware. |
| Aug17-12, 11:24 AM | #20 |
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an example where a fermion can transform into boson giving him charge, momentum and energy? |
| Aug17-12, 10:34 PM | #21 |
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Why don't matter-antimatter anhilation reactions count?
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| Aug18-12, 02:53 AM | #22 |
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| Aug18-12, 03:08 AM | #23 |
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But the statistics an elementary or composite particle obeys is intimately connected to the intrinsic spin of the particle, as given by the Spin-Statistics Theorem.
So if you want to change a fermion into a boson, you would have to change its spin, thus making it a new particle. There is a kind of a "loophole" with composite particles. Take He-4, for example. It has 2 protons, 2 electrons and 2 neutrons. All of these are fermions. But, when paired, they have integer spin, thus making the nucleus, and the atom of this isotope a boson. In fact, He-4 is the first substance that exhibited superfluid transition. |
| Aug18-12, 03:45 AM | #24 |
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| Aug18-12, 03:48 AM | #25 |
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Of course. However, being a boson is a necessary condition. He-3, when cooled to the same conditions does not become superfluid.
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| Aug18-12, 05:11 AM | #26 |
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| Aug18-12, 10:37 AM | #27 |
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| Aug18-12, 10:38 AM | #28 |
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| Aug18-12, 11:21 AM | #29 |
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| Aug18-12, 11:47 AM | #30 |
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| Aug18-12, 01:12 PM | #31 |
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[itex] \{a_\alpha^\dagger, a_\beta^\dagger\}= 0\; , \\ \{a_\alpha,a_\beta\}= 0\; ,\\ \{a_\alpha^\dagger, a_\beta\}= \delta_{\alpha,\beta} \; , [/itex] while boson fields creation and destruction operators satisfies [itex] \left[a_\alpha^\dagger, a_\beta^\dagger\right]= 0\; ,\\ \left[a_\alpha,a_\beta\right]= 0\; ,\\ \left[ a_\alpha^\dagger, a_\beta\right]= \delta_{\alpha,\beta}\; . [/itex] These (anti-)commutation rules implies that two fermions can't be in the same state ([itex]a_\alpha^\dagger a_\alpha^\dagger= 0[/itex]) while two bosons can ([itex]a_\alpha^\dagger a_\alpha^\dagger \neq 0[/itex]). It can be shown that either a particle is a boson or it's a fermion, there isn't a third option. Furthermore the Spin-Statistic theorem states that a particle with integer spin has to be a boson, while a semi-odd spin particle has to be a fermion. Macroscopically a system of bosons can show superfluidity, while maybe the most known examples of the Fermi statistic are neutron stars. ![]() Actually your sentence sounds as a non-sense, as the Higgs is a boson (spin zero) and so statistics is needed to describe even the Higgs field. Note that Fermi and Bose statistics reflects symmetries, not asymmetries. However, a process you may like is [itex]e^- \;\bar{\nu}_e \rightarrow W^- \; ,[/itex] where [itex]e^-[/itex] and [itex]\bar{\nu}_e[/itex] are fermions and [itex]W^-[/itex] is a boson. In the standard model there is exactly one boson that is not a gauge boson and so doesn't carry a force: the Higgs boson. I hope this could help a bit. ![]() Ilm |
| Aug18-12, 01:30 PM | #32 |
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| Aug20-12, 12:43 AM | #33 |
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Recognitions:
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Not all interactions need be mediated by bosons. Not all spin 0 objects are force carriers. Now please answer the question posed by dalespam: "what do you mean by field behaviour?" We cannot help you if you will not answer questions. |
| Aug20-12, 10:08 PM | #34 |
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