Muon Definition and 168 Threads

Re. time dilation muons, CERN. Given the accelerated muons were observed to have a lifetime increased by approximately x 29, What happens to the observers life span? Thank you.

Homework Statement A muon decays to an electron, an electron neutrino and a muon neutrino. ## \mu \rightarrow e \ \nu_\mu \ \nu_e## .The matrix element of the process is ## |\mathcal{M}|^2 = G^2_F (m^2-2mE)mE## with ##m## being the mass of the muon and ##E## the energy of the resulting...

Homework Statement pi-meson's rest energy is 139.57MeV, it decays into a muon and a neutrino. The muon has a rest energy of 105.45MeV, and a proper lifetime of 2.197*10^-6. The neutrino's mass can be treated as massless in the process. 1) Assuming the pi-meson decays at rest, what is the...

When a muon ( with energy around 1 GeV ) pass through a metal, such as Iron, which is about 1 mm in the z direction, how many energy the muon will lose ? Is there any formula to use?

I have read that an ordinary muon capture happen with this equation below: μ + p -> n + vμ It looks the same as the electron capture e + p -> n + ve I don't understand why there isn't any additional energy in the system, although a muon has a greater mass. Also, why isn't there an additional...

Hi all, I'm wondering about an equation for the differential flux of atmospheric muons that looks like this: \frac{dN_{\mu}}{dE_{\mu}} \approx \frac{0.14 E^{-2.7}}{cm^{2}.s.sr.GeV} \Bigg\{ \frac{1}{1 + \frac{1.1 E_{\mu}cos(\theta)}{115 GeV}} + \frac{0.054}{1 + \frac{1.1...

Homework Statement Neutrinos with energy of about ##1 GeV## are measured in an underground detector and compared with simulations of neutrinos produced in the atmosphere. Measured flux of upward going muon neutrinos ##(\nu_\mu + \bar \nu_\mu)## is half compared to simulations while measured...

Muon created by fast cosmic ray has speed 2.99X10^8 m/s and life time 2.2 micro sec. According to this numbers muon should travel only 0.66Km with respect to Earth in his life time. however it travels more than 10 km (10.4km) due to time dilation. in muon frame of reference, Earth travels only...

hi everyone, nowadays i am working on muon detecting but i need something cheap. i saw on the internet some people are using their smartphone as a detector with sensor or phones cameras. is there anyone can share their code ? there are some samples but they don't share their code.. only can...

Homework Statement Two equal energy photons collide head on and annihilate each other, producing a u+, u- pair. The two particles have equal mass, about 207 times the electron mass. A) Calculate the maximum wavelength of the photons for this to occur. B) If the wavelength calculated in A) is...

Homework Statement Two equal-energy photons collide head-on and annihilate each other, producing a u+ and u- pair. The muon mass is about 207 times the electron mass. Calculate the maximum wavelength of the photons for this to occur. If the photons have this wavelength, describe the motion of...

Homework Statement [/B] 1.) A muon is created by a cosmic ray interaction at an altitude of 60km. Imagine that after its creation, the muon hurtles downward at a speed of 0.998, as measure by a ground-based observer. After the muon’s “internal clock” registers 2.0μs , the muon decays? a.) If...

Consider a Maximal (negatively) charged black hole. Can it have "flavor" or weak charge? Suppose a muon collided with that hole. Would an electron be emitted? What if electron neutrinos collided with that black hole; would electron neutrinos more likely be emitted as Hawking Radiation...

I hypothesize that I can measure an increase in background radiation due to cosmic rays from ground level in Utah to 10,000 ft altitude with a Geiger Muller set-up. I feel that I have enough information to order equipment now (a working knowledge of gm tubes, energy levels of & the special...

Homework Statement Explain what the term "four-momentum transfer ##q##" is Show that for a high energy muon scattering at an angle ##\theta##, the value of ##q^2## is given approximately by; ##q^2=2E_iE_f(1-cos(\theta))## where ##E_i## and ##E_f## are the initial and final values of the muon's...

This question arises from the fact that the muon has a mass close to the first excited state of the radial vibration of the electron (Prog. Theor. Vol. 47 (1972), No. 3 Cohesive force of electron and Nambu's mass-formula).

Here is the question: If 1000 muons are incident from a height of 10 km above the Earth's surface, how much slower than the velocity of light must they be traveling in the rest frame of the Earths surface for 990 of them to be expected to arrive at the ground undecayed? The mean life of a muon...

Homework Statement By taking the natural logarithms of each side, that this equation can be linearized by making a semi logarithmic plot. Identify the variables and state what the slope , and y-intercept would represent. Homework Equations F=Fo*e^-(d/cτ) The Attempt at a Solution I tried...

Dear all, I calculated the mass stopping power of muon but the result was 1.4 MeV.g^-1.cm^2. I calculated by BEthe-Bloch formula. I think it is wrong. since I looked up in the books and internet, this value is about 2 MeV.g^-1.cm^2. Can you help me. I also send the excel file as below.

Homework Statement A muon is a subatomic particle with an average lifetime of 2.2 microseconds when stationary. In a burst of cosmic rays in the upper atmosphere, muons are observed to have a lifetime of 16 microseconds. What speed are they traveling at to achieve this? Homework Equations Time...

Someone noted that the famous muon half-life experiment, supporting time dilation in SRT, seems to violate the equivalence principle of GRT. The very large radial acceleration in the experiment does not appear to cause any additional slowing. The acceleration does not seem to have an equivalent...

I was reading about Fermilab moving their new storage ring to the Muon Campus for the Muon g-2 experiment. I was curious about how the produce the Muons. I understand that protons hit a graphite target producing pions that quickly decay into Muons. How much energy are is required? How much...

I have a question regarding the calculation of the cross section in muon pair production from electron positron annihilation. After some calculations the textbook comes to the conclusion that the differential cross section is approximately equal to: (1+cos(theta)^2)alpha^2/(4*s) where alpha...

What's the difference between a neutrino and a Muon? Will a neutrino induce fusion the same as a muon? Does muon induced fusion take place in the sun? Any help is greatly appreciated.

As nuclear charge increases electron speed (closest to the nucleus) increases. How many protons in a hypothetical atom (trans ununoctium ) would it take before the innermost electron transmutes into a muon and would it decay or be stable?

A bit stuck with this question State one similartity and difference between a) an electron and a muon They are both Leptons? b) an electron neutrino and a muon neutrino They are both neutrinos? So what are the differences? Cheers

Homework Statement An Ω- particle has rest energy 1672 MeV and mean lifetime 8.2*1011 s. It is created and decays in a particle track detector and leaves a track 24 mm long. What is the total energy of the  particle? Homework Equations E=\frac{mc^2}{\sqrt{1-(\frac{v}{c})^2}}...

Please, I'd need some help. Although I am not sure if this is again the correct thread, but since it concerns muon decay I bring it here. So... I am trying to find out why the differential below, in spherical cordinates becomes: d^{3}p_{\bar{v_{e}}}=-\frac{E_{\bar{v_{e}}} E_{v_{μ}}}{E_{e}}...

In my class notes, the muon decay width is: \Gamma_\mu=\frac{G^2_F m^5_\mu}{192\pi^3} Yet, in Wikipedia (take that for what it's worth) it says that, once the corrections have been applied, the muon decay width takes the form: \Gamma_\mu=\frac{G^2_F...

For the electron, wiki lists its magnetic moment as −1.00115965218076(27) μB. It does not list it for the Muon or Tau. Wiki does show for the Muon the Anomalous magnetic dipole moment of 0.00116592089. Is it correct to assume the magnetic moment of the Muon is -1.00116592089 μB? For the...

Homework Statement (a) Consider that decay when the pion is at rest. Find the speed β of the muon and the energy E_{v} of the neutrino. (Work in general algebraic terms, and set c=1. Plug in numerical values as late as possible! You may find it useful to define a quantity r=m_{\pi}/m_{\mu}...

Hi, The Gaisser parametrization is something like: \Phi_0(E,\theta)=AE^{-\gamma}\left[ \frac{1}{1+1.1E\cos(\theta)/E_{\pi}}+\frac{0.054}{1+1.1E\cos(\theta)/E_K} \right] where A,\gamma,E_{\pi},E_K are constants. My question is: Is this saying that at higher zenith angles the flux of...

Consider a beam of positive Muons, of energy 0.3GeV in the laboratory. (i) What is the apparent mean lifetime of the Muon as measured in the laboratory frame? (ii) What is the mean distanced traveled by the Muon in the laboratory? I first tried using the E = pc and working out speed...

Let me start with some statements that I think are fairly accurate. That way errors can more easily be corrected later, when I use those statements to ask some questions and maybe speculate a bit. The muon is a subatomic particle that greatly resembles an electron, except it is about 206...

So I'm just studying for my final on Saturday and I realized that I'm missing the answer to a question in my notes( probably missed that day). So I was that hoping someone could look over my attempt. Thanks :smile:! Homework Statement The muon is an unstable elementary particle with charge...

Elementary fermions get their mass from the Higgs field. The electron and the muon have the same charge, i.e., the same coupling to the electroweak interaction. If these two particles are identical except for mass, then how can the Higgs mechanism give rise to different masses for them?

Homework Statement a muon(mass 106 MeV/c^2)is produced in the upper atmosphere with an energy of 10000MeV. The Earth's atmosphere is 100km thick.In the rest frame of the muon, how thick is the atmosphere?Homework Equations E^2=P^2c^2+m^2c^4(I don't know what equation to put here. I think I...

In my (very brief) lecturer's notes there's written that ρ~mp~me3 (*). So.. when (hypothetically) replacing every electron with a muon (around 200me), could the density increase 2003 times? Where comes that (*) relation (in Bohr's model)? [SIZE="1"]Just in case: it's not a homework question

Hi, I came across Muon Catalyzed Fusion while on my physics-researching rampage. How does \mucf take place? Is it that the muon that replaces the electron draws in other nuclei? Does it have anything to do with electronegativity? Thanks,

Homework Statement Cosmic muons are produced when protons in cosmic rays hit the atmosphere about 10km above us. How fast do muons have to travel in order to reach the Earth before decaying if they live 2.2μs before decaying? Consider the analysis for the rest frame of a) the Earth and b) the...

This is the frirst SR problem in his book. I think the question is flawed. The solution assumes a speed of 3.00 E8 m/s to calculate Δt=333us since it traveled 100km. Next, 333us and 2.2us is used to solve for velocity using the time dilation formula. Velocity is reported to be .999978c.This...

I find that I cannot find some simple and basic data - when I search, I find recent articles working on advanced extra experiments, but basic facts are taken for granted there and not repeated. What happens to a muon in an atom? Obviously, a free muon decays μ->e+ν~e+νμ with lifetime...

A muon enters a region with a speed of 5.00 x 10^6 m/s and then is slowed at a rate of 1.25 x 10^14 m/s^2. A) How far does the muon take to stop? After some research on the internet I have found an answer to the problem but that does not help me enough. Here is what I have found: Im suppose to...

Experiments show that cosmic ray muons reach Earth surface in greater numbers than they should, unless relativistic time dilation is taken into consideration. It also seems to confirm the SR formula mathematically. However, looking at a lot of different experiment records, I have some doubts...

Hi everybody, I am trying to set up a lab experiment on muon detection and determination of its decay time. I know that when a muon first reaches the scintillator it slows down because of ionization and atomic excitation of solvent molecules. The deposited energy is transferred to the fluor...

New boson sparks call for 'Higgs factory' - physicsworld.com That article mentions a possible muon collider for making Higgs particles. Muons have the nice feature of having much less synchrotron-radiation loss, permitting a much smaller accelerator. However, muons have a problem. Their...

Hey guys The lab manual for the class is found here http://advancedlab.physics.gatech.edu/labs/Muons/Muons.pdf One of the things, I was interested in figuring out was what would be the minimum height needed to put a moun detector (currently at ground level) in order to detect a minimum 1%...

Muons are formed from cosmic bombardment and they fall towards the Earth. So here's the problem: Muon's have really short lifetimes. So short that they won't be able to reach the Earth in time before they wink out. However, we detect more muons than we should be. The solution: On...

Hi all, I'm trying to construct a histogram from my data to illustrate evidence of muon lifetime. Attached is a .txt file that contains counts from our detector that correspond to different bin sizes (lengths of time muons were counted in detector) from our experiment. The file is 1x500...

Homework Statement the flux of muons on the Earth's surface is about 100 muons per square meter per second. Estimate the probability that a muon is passing through your body this instant to within a factor of three attempt: let F = flux of muons on Earth's surface = 100/m^2/s let...