Least energy required for creation of a fundamental particle

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Discussion Overview

The discussion centers on the least energy required to create a fundamental particle, specifically addressing the energy considerations for both fermions and bosons. Participants explore the implications of particle-antiparticle pair production, conservation laws, and the conditions under which different particles can be created.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that the least energy required to create a fundamental particle of mass m is mc² or 2mc², depending on whether particle-antiparticle pairs are involved.
  • Others argue that particle-antiparticle pairs are necessary for creation, but this is not exclusive to fermions; it applies to bosons as well.
  • There is a question about why bosons, which do not have antiparticles, are created in pairs, with some suggesting that those bosons that are their own antiparticles do not require a pair for creation.
  • One participant emphasizes the importance of conservation of energy and momentum in the creation process, noting that these must hold true regardless of the particle type.
  • Another viewpoint suggests that while pair production is not mandatory, the conservation of quantum numbers must be maintained, which may influence the energy requirements for creating particles like quarks or leptons.
  • Specific particles like photons may not have a minimal energy requirement, while Z-bosons and Higgs bosons require energy equivalent to mc² for their creation.
  • There is a discussion about the energy considerations involved in the decay of particles, such as how the decay of a neutron produces an electron and whether that process requires energy.
  • One participant notes that the Higgs boson can be created alone from specific interactions, suggesting that not all particle creations require pairs.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of pair production for bosons and the energy requirements for creating various particles. The discussion remains unresolved regarding the specific conditions and definitions of energy required for particle creation.

Contextual Notes

Limitations include the lack of clarity on the definitions of energy required and the specific processes involved in particle creation. The discussion also highlights the dependence on conservation laws, which may vary based on the context of the particle interactions.

Ezio3.1415
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What's the least energy required to create a fundamental particle of mass m,what would be ur answer? mc^2 or 2mc^2

For fermions,we always have to create anti fermion too... Is it true for bosons too... Say I want to create any boson... Would I have to create 2 of it?
 
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Yes - it is not a fermion thing, but particle + antiparticle pair.
 
But bosons doesn't have antiparticle... Why are they created in pairs then? Is that why those who doesn't have anti particles are said to be their own anti particle?
 
Ezio3.1415 said:
But bosons doesn't have antiparticle... Why are they created in pairs then? Is that why those who doesn't have anti particles are said to be their own anti particle?

One important consideration - conservation of energy and conservation of momentum both must hold.
 
You don't have to do pair production, not even for fermions. But you have to conserve all conserved quantum numbers - if you produce a single quark or lepton, something else has to change which might need (or release!) energy. But that is not specific for fermions, the same is true for the W boson.

Therefore: It depends on the production process and your definition of "energy required".

Photons have no minimal requirement, Z-bosons and Higgs bosons require mc^2.
What about the electron? The decay of a neutron produces one, and releases additional energy. Did that require some energy, and if so, how much?
 
"One important consideration - conservation of energy and conservation of momentum both must hold."

Yeah I should keep that in mind... not to forget conservation of charge...

The ques should have some elaboration... However,higgs boson is created alone from the top quark loop which is two pi gluon's fusion's result... That means its creation doesn't need to be in pair...
 

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