Does beta decay change spin orientation?

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Discussion Overview

The discussion revolves around the implications of beta decay on the spin orientation of particles involved, particularly focusing on whether a proton resulting from neutron decay can be definitively assigned a spin state (up or down) based on the initial conditions of the neutron's spin. The scope includes theoretical considerations and experimental implications related to particle spin in beta decay processes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether a proton resulting from the decay of a spin-up neutron can be predicted to be spin up or down, seeking theoretical or experimental insights.
  • Another participant asserts that the proton's spin can vary, depending on the momenta of the emitted electron and neutrinos.
  • A further contribution discusses the internal changes during decay, suggesting that while the down quark changes to an up quark, this does not necessarily affect the overall spin orientation of the nucleon.
  • Another participant emphasizes that spin is conserved in the decay process, indicating that the total spin before and after decay must remain the same, and provides examples of possible spin combinations for the final state particles.
  • There is a mention of the helicity of antineutrinos and how their spin orientation relates to their momentum direction, introducing additional complexity to the discussion of spin states.

Areas of Agreement / Disagreement

Participants express differing views on the predictability of the proton's spin after beta decay, with some arguing for conservation of spin while others highlight the variability based on the momenta of decay products. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

The discussion does not fully resolve the implications of spin conservation versus the variability introduced by the momenta of the decay products, leaving open questions regarding the dependence on specific conditions and definitions of spin states.

jerry mac
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If you have a free neutron viewed from a known frame of reference which is known to be spin up and it decays, is there anything in theory or experiment which indicates whether the remaining proton will be spin up or down? Thanks Jerry
 
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no, the proton can be up or down, depending on the electron and neutrinos' momenta...
 
Thanks for the response. In popular accounts of decay, spin is not usually discussed and I am trying to understand it. I guess in order to emit a w minus particle there would be handedness change internally as the down quark changes into an up quark, but that wouldn't change the overall spin orientation of the nucleon.
 
the spin is conserved... so you don't have to think in terms of the W bosons...
initially you had +1
in the final state you must also have +1
Now the final state consists of the proton, electron and electron antineutrino
some combinations showing the up/down of proton's spin would be: [itex]+1_p + 1_e - 1_\nu[/itex] or [itex]-1_p + 1_e + 1_\nu[/itex]...
Now of course antineutrinos have right handed helicity, and so them having + or - spin depends on their momentum orientation...
If the antineutrino has spin -1, it should also move towards the negative z-axis, if it has +1 it will move towards the positive z-axis (so that the spin and momentum are alligned).
 

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