Hello,
Quick question, not really homework but more of a general inquiry. Take three vectors: a,b and c such that a and c are orthogonal. Is it possible to write c as a linear combination of a and b such that:
c = ma + nb where m,n are scalars.
I was thinking not at first glance but...
That wasnt my point, someone further up stated that the neutrino in the flavor eigenstate wouldn't oscillate between masses, it would be a superposition but fixed in time...
By moving them around I didnt simply mean swapping them, to one part in 10^42 the PNMS matrix is unitary, so where I have...
Ok I am a little confused.
Mathematically the flavor oscillates because of the way you form the pmns matrix.
i.e mass = PMNS X flavor
But you could just form it the other way round so:
flavor = PMNS X mass
so why can you not think of the mass as oscillating?Also could you ellaborate on why...
Exactly, but if you made a mass measurement the wavefunction would collapse and it would have one of three masses. (Im talking from a theoretical point of view with the mass measurement)
There is strong argument against the finite size.
Deep inelastic Scattering experiments at SLAC (at least at the energies involved) shows particles to be pointlike.
Maybe their size is finite, but that would probably require probing the plank scale, which may never be done.
I am content to...
You can also go further, due to confinement you will never measure a free gluon in a detector, instead you will see what is known as a jet which is a spray of hadrons.
You can also differentiate between photons and gluons by what the couple to.
Photons only couple to particles with electric...
Well in this case the flavor eigenstates are superpositions of mass eigenstates, and vice versa, each mass eigenstate is a superposition of flavor, so mathematically it is.
You take two neutrinos produced in two separate mass eigenstates (call them 1 and 2) and allow them to propagate...
It is not possible to explain almost all fundamental particle decays without the weak force. For instance Muons decay to electrons, and two neutrinos (muon and electron). Muons are leptons and so don't interact via the stong force.
In regards to nucleus stability, why isotopes and heavy nuclei decay isn't actually well known.
The actually physics of it comes from the weak nuclear force (I would recommend reading up on that)
In regards to an elementary particle decaying, yes they do, very often.
For instance a muon...
This isn't a problem I was confirming whether it is possible to find two electron (or mu or tau) neutrinos that have different masses.
I figured that is what the maths was saying, however I had spoken to someone who insisted this was not the case, which confused me when the maths is basically...
But surely if that was the case then it would be nonsensical for experiments such as supernemo to attempt measurements of mass as it would not be possible to assign the mass to a particle..
Hi,
I am hoping someone could clear up a few things about neutrinos oscillations for me.
For the sake of this dicussion let's set up the neutrino mixing equations in such a way that the flavor eigenstates are a superposition of mass eigenstates.
So now for example we have...