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Natural Science Forum / Physics / Particle Physics / August 2005



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Is there a difference between a high speed electron and a muon?

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Golden Boar - 25 Aug 2005 08:40 GMT
When the velocity of an electron approaches the speed of light, its
wavelength decreases, and its mass increases.

When the electron is moving at a certain speed, its mass will equal the
mass of a muon.

What are the differences between this electron and the muon?
Rene Tschaggelar - 25 Aug 2005 09:33 GMT
> When the velocity of an electron approaches the speed of light, its
> wavelength decreases, and its mass increases.
[quoted text clipped - 3 lines]
>
> What are the differences between this electron and the muon?

Well, one is moving and the other is still at rest. Similarly
your family car can achieve the kinetic energy of a truck.

Rene
Sam Wormley - 25 Aug 2005 13:51 GMT
> When the velocity of an electron approaches the speed of light, its
> wavelength decreases, and its mass increases.
[quoted text clipped - 3 lines]
>
> What are the differences between this electron and the muon?

  Rest mass, among other things.
PD - 25 Aug 2005 22:45 GMT
> When the velocity of an electron approaches the speed of light, its
> wavelength decreases, and its mass increases.

The *rest* mass does not.

> When the electron is moving at a certain speed, its mass will equal the
> mass of a muon.
>
> What are the differences between this electron and the muon?

The *rest* mass. The lepton number (look up weak charged current).

PD
Jon Bell - 26 Aug 2005 00:53 GMT
>What are the differences between this electron and the muon?

If the electron undergoes a charged-current weak interaction (i.e.
mediated by W boson), an electron-neutrino comes out.

If the muon undergoes a charged-current weak interaction, a muon-neutrino
comes out.

I expect the next question will be, "What is the difference between an
electron-neutrino and a muon-neutrino?" :-)

If it's a muon-neutrino, when it later undergoes a charged-current weak
interaction, it will usually produce a muon.  If it's an
electron-neutrino, when it later undergoes a charged-current weak
interaction, it will usually produce an electron.  I say "usually" because
there is a certain probability (depending on energy and distance traveled)
that an electron-neutrino will convert itself into a muon-neutrino and
vice versa.  Look up "neutrino oscillations".

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Jon Bell <jtbell@presby.edu>                        Presbyterian College
Dept. of Physics and Computer Science        Clinton, South Carolina USA

Golden Boar - 27 Aug 2005 06:41 GMT
I did not phrase my question very well. I will try again.

Apart from their speeds, what are the differences that can be
*experimentally detected*, between a fast electron and a slow muon?
Jon Bell - 27 Aug 2005 07:29 GMT
>Apart from their speeds, what are the differences that can be
>*experimentally detected*, between a fast electron and a slow muon?

Muons decay (with a mean lifetime of 2.2 microseconds when at rest, if I
remember correctly).  Electrons don't.

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Jon Bell <jtbell@presby.edu>                        Presbyterian College
Dept. of Physics and Computer Science        Clinton, South Carolina USA

Golden Boar - 27 Aug 2005 08:57 GMT
> >Apart from their speeds, what are the differences that can be
> >*experimentally detected*, between a fast electron and a slow muon?
[quoted text clipped - 5 lines]
> Jon Bell <jtbell@presby.edu>                        Presbyterian College
> Dept. of Physics and Computer Science        Clinton, South Carolina USA

I said a slow muon, not a muon at rest.
Also, if the muon decayed, it would no longer exist, and therefore
could not be moving.

While the muon is moving, it cannot possibly have decayed yet, so its
decay products can not be used to detect a difference.
Sam Wormley - 27 Aug 2005 15:14 GMT
>>>Apart from their speeds, what are the differences that can be
>>>*experimentally detected*, between a fast electron and a slow muon?
[quoted text clipped - 12 lines]
> While the muon is moving, it cannot possibly have decayed yet, so its
> decay products can not be used to detect a difference.

  Golden Boar--Motion of a muon doesn't keep it from decaying, but
  relativistic velocity 9with respect to the observer) changes its
  measured mean life time. Muon do exist and they are *not* stable
  particles.
Golden Boar - 27 Aug 2005 20:26 GMT
I never said the motion of the muons keeps it from decaying.
I said that while a muon is moving it has not yet decayed.
If it had decayed it would no longer be a muon that was moving, so the
detection must take place before the muon decays.
Sam Wormley - 28 Aug 2005 02:08 GMT
> I never said the motion of the muons keeps it from decaying.
> I said that while a muon is moving it has not yet decayed.
> If it had decayed it would no longer be a muon that was moving, so the
> detection must take place before the muon decays.

  or... we detect the decay products and energies.
Aydin - 27 Aug 2005 15:34 GMT
> > >Apart from their speeds, what are the differences that can be
> > >*experimentally detected*, between a fast electron and a slow muon?
[quoted text clipped - 12 lines]
> While the muon is moving, it cannot possibly have decayed yet, so its
> decay products can not be used to detect a difference.

Well, if you want an instantanous measurement, (without thinking about
quantum and relativistic effects-I have no idea whether those are
relevant or how they'd affect stuff) a fast moving electron would
produce a greater magnetic field than a slow muon (both have the same
charge if I'm not mistaken). They'd probably have different paths when
subjected to a magnetic field too.

Just my guess...

Aydin
PD - 28 Aug 2005 03:29 GMT
> I did not phrase my question very well. I will try again.
>
> Apart from their speeds, what are the differences that can be
> *experimentally detected*, between a fast electron and a slow muon?

A fast electron will not penetrate iron. A slow muon most probably
will, as long as it's not *too* slow.

PD
the softrat - 28 Aug 2005 05:59 GMT
>> I did not phrase my question very well. I will try again.
>>
[quoted text clipped - 5 lines]
>
>PD

Because of the difference in their rest masses, the 'curlicues' made
by electrons and muons in particle detectors have a different radius
of curvature in a crossed E-B field. Using crossed E-B fields is an
old trick.

the softrat
Sometimes I get so tired of the taste of my own toes.
mailto:softrat@pobox.com
--
He's about as subtle as a chainsaw, but lacking the social grace.
 
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