B Are the electron and neutrino that are emitted in a beta decay entangled?

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The discussion centers on whether the electron and neutrino emitted during beta decay are entangled in a hard vacuum. It highlights the challenges of detecting neutrinos and the complexities introduced by additional particles in beta decay. Participants note that while entanglement is likely, practical experiments to confirm this are lacking due to the difficulty of measuring neutrino properties. The conversation emphasizes that all daughter particles in beta decay are entangled concerning energy, momentum, and angular momentum until an interaction occurs. Overall, the question remains open, with no definitive experimental evidence available.
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TL;DR
In a hard vacuum, is the electron and the neutrino emitted in a beta decay entangled?
This is a question.

In a hard vacuum, is the electron and the neutrino emitted in a beta decay entangled?

I searched the web. The question does not seem to appear there.

The only reason for the hard vacuum is to allow the electron time before it interacts with other matter. I don't see any practical experiment to answer the question. Neutrinos are too difficult to detect. Assuming the spins are entangled, how does one detect the spin of a neutrino?
 
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rjhoward12447 said:
In a hard vacuum, is the electron and the neutrino emitted in a beta decay entangled?
You are thinking about the decay of an isolated neutron? Beta decay of a neutron in an atomic nucleus brings in a bunch of other complications, but either way there’s also a daughter proton to consider.

All of the daughter particles are entangled on energy, momentum, and angular momentum. They do not have a definite value for any of these properties until an interaction with something else (for example, a measurement) breaks the entanglement and the wave function collapses to a state in which the values are consistent with the conservation laws for these properties.
I don't see any practical experiment to answer the question. Neutrinos are too difficult to detect. Assuming the spins are entangled, how does one detect the spin of a neutrino?
not easily. https://journals.aps.org/pr/pdf/10.1103/PhysRev.109.1015 for example
 
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rjhoward12447 said:
TL;DR Summary: In a hard vacuum, is the electron and the neutrino emitted in a beta decay entangled?

This is a question.

In a hard vacuum, is the electron and the neutrino emitted in a beta decay entangled?

I searched the web. The question does not seem to appear there.

The only reason for the hard vacuum is to allow the electron time before it interacts with other matter. I don't see any practical experiment to answer the question. Neutrinos are too difficult to detect. Assuming the spins are entangled, how does one detect the spin of a neutrino?
My rule of thumb is "if it can be entangled, it will be."
 
Hornbein said:
My rule of thumb is "if it can be entangled, it will be."
Murphy's Law of Entanglement?
 
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Depending on the type of beta decay, the electron and neutrino spins will be entangled.
 
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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