Muon Definition and 179 Threads

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...

This link is confusing me. http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/muon.html In this link, with non-relativistic method, half life is calculated as 21.8. But with relativistic method half life is calculated as 4.36. We calculate half life considering time dilation for muon...

How accurate are the muon velocity measurements in storage rings, for muons generated in hadron colliders like CERN. How is the velocity measured? For example, Bailey et. al. confirmed SR mathematical predictions in their famous muon ring experiment (1977), which lists the velocity of muons as...

Hello, The Feynman graph of muon decay is and I asked my professor if we could also write and he said no, because then out of nothingness an electron and an (anti)electron-neutrino would appear and send out a boson to the muon. However, I was not very convinced, so I wanted to double...

I am trying to revise for PhD, going over MSc work. Could anyone help me with this question? Homework Statement A pion traveling at speed β(=v/c) decays into a muon and a neutrino, π→μ + \nu. If the neutrino emerges at 90° to the original pion direction at what angle does the muon come off...

Homework Statement Muon with mass 80m is at rest. Muon decays into photon and particle Qm. The photon has an energy of E=60m in the +x direction. Find all of the other components.Homework Equations Vx= Px/E m^2=E^2-P^2 Pt=E Ignoring the Y and Z components of the Four-Momentum as they are...

Why is it that the differential cross section for processes like Inverse Muon Decay (IMD) are always given in the CM frame? Every paper I have seen that discusses Inverse Muon Decay gives the differential cross section in CM frame. Is it very hard to calculate the differential cross section in...

I know there's a difference between how they're detected. (Cherenkov radiation cone size) They have different "flavors." (I'm not sure what that means.) There's a difference in their simbol. (Ve, Vu, Vt) And they have different masses. But that's all I know. There must be something more to the...

Homework Statement uons are unstable subatomic particles that decay to electrons with a mean lifetime of 2.2 microseconds. They are produced when cosmic rays bombard the upper atmosphere about 12.3km above the Earth's surface, and they travel very close to the speed of light. It is known that...

I'm need some help understanding my lab concerning the muon. I'm trying to find information about the lab but I'm not find anything. I just would like to know the following:- 1.Does changing the saturated amp output change the timing of the FPGA? Does it and how? 2.What are the...

Hello, I was looking at the quark masses and had this doubt regarding the muon decay: Why can't the muon decay into up and down quarks (plus neutrino). I know the explanation is because muon doesn't exhibit hadronic decays because its mass isn't big enough m_\mu=107MEV. But I just saw that...

Homework Statement Taking the proton to be a uniformly charged sphere of radius 1 fm, find an expression for the change in potential experienced by the muon as compared with that in the case of a point-like proton. Use first order perturbation theory to calculate the ground-state energy...

What's the dominating opinion about the issue that muon g-2 deviates from the standard model? Is this generally considered as experimental inaccuracy, incompetent theoretical calculation, or genuinely beyond the standard model? On a related front, I'd like to ask about the experimental...

The proper mean lifetime of a muon is 2.20 µs, which is denoted as τ. Consider a muon, created in Earth's upper atmosphere, speeding toward the surface 8.00 km below, at a speed of 0.980c. What is the likelihood that the muon will survive its trip to Earth's surface before decaying? The...

Is it reasonable to expect muon decay to be slowed or stopped in electron degenerate matter like metallic hydrogen? The electron that would be the product of the decay would need to find a higher energy level. The effect may be analogous to the reason why a neutron is stable within a nucleus...

Homework Statement 5. What is the average distance traveled by a muon with an energy of 5 GeV? 500 GeV? (assume v is approximately c) Homework Equations The Attempt at a Solution I wasn't really sure where to begin with this. I was under the impression that if in both...

muon decay constant/ muon flux where can i find the decay constant of a muon (the lambda which appears in): http://upload.wikimedia.org/math/3/f/2/3f28b1c0d4362b86a89f976d83d81070.png thanks edit: oh the wiki page http://en.wikipedia.org/wiki/Exponential_decay gives the relationship...

Homework Statement Substitute an electron in a neutral hydrogen atom with a muon. a) calculate the Bohr radius of the ground state for this myonic atom of atom. The answer must be right to at least 2 significant digits. b) Calculate the fraction of the myon that is located inside the proton...

Homework Statement Substitute an electron in a neutral hydrogen atom with a muon. a) calculate the Bohr radius of the ground state for this myonic atom of atom. The answer must be right to at least 2 significant digits. b) Calculate the fraction of the myon that is located inside the proton...

Hi guys, just wanted to ask a question related to muon experiments (and all other which can be presented this way) to get some things clearer. Ok, here goes: We have lots of muons traveling towards Earth. Their mean lifetime, measured in lab conditions (at rest) is 2.2µs. Their...

In lab, my partner and I are determining muon lifetime with a scintillator. I understand that the scintillator will help us find the average lifetime by measuring the difference between the time that a particle enters the scintillator and when in decays, but I am not able to figure out why this...

how would we know that the muon is decay into electron antineutrino and muon neutrino to give the muon lifetime of about 2microsecond?

Hello physics enthusiasts, I am currently trying to estimate the effects of the muon flux on an experimental setup located overground. In particular I am interested in the angular distribution with which they are impinging. Sofar I have had problems even finding a simple muon energy spectrum...

Homework Statement As a lab experiment, we must try to measure and calculate the lifetime (τ) of a muon. After all data is collected, the lifetime can be calculate by using the maximum likelihood estimation. The function on which MLE is applied...

Homework Statement A muon of 40MeV is propagating through free space. It decays to an electron, muon neutrino, and electron antineutrino. What is the beta value of the electron? Homework Equations None provided The Attempt at a Solution I thought I could just take the total energy...

Homework Statement Unstable, subatomic particles called muons have a rest energy of 105.7 MeV and a speed of 0.994c. If a muon were to decay and produce an electron and a photon, what would be the momentum of the electron as measured by an observer in the muon's frame? HINT: assume that the...

Homework Statement A pion spontaneously decays into a muon and a muon antineutrino. Recent experimental evidence indicates that the mass m of the antineutrino is no larger than about 190 keV/c^2 and may be as small as zero. Assuming that the pion decays at rest in the laboratory, compute the...

Homework Statement A muon is traveling with a speed of v = 2.995x10^8 m/s. Calculate the value of the dilated lifetime for this muon. Assume that the speed of light is c = 3.000 x 108 m/s and that the proper lifetime of the muon is 1.500 x 10-6 s. Note: Do your calculations to 4...

Homework Statement Particle Physicists use particle track detectors to determine the lifetime of short-lived particles. A muon has a mean lifetime of 2.2 microseconds and makes a track of 9.5 cm long before decaying into a electron and two neutrinos. What was the speed of the muon? Homework...

Hi, Could anyone explain to me why it is that cosmic radiation supplies slightly more positive than negative muons? I know that negative muons disappear a little faster than the positive ones as they can decay or be captured, but I don't know if this would have any impact on what I'm asking...

Given the lifetime of a muon as 2.197 microseconds, and the rest mass of 105.65MeV, and a total particle energy of 10GeV, I need to calculate how far, in the rest frame, the particle will travel before decay.Homework Equations Beta=v/c Gamma=1/sqrt(1-beta^2) deltaT'=gamma*deltaT...

Homework Statement In using the experiment where a scintillator is connected up to PMTs, and the data is then recorded on the computer... The muon has already lived outside the scintillator for a large amount of time before it decays in the scintillator, so how is it that the experiment...

Homework Statement I have to find the Fermi Coupling Constant using my measurement of the muon lifetime. My measurement is 2.1786x10^-6s Homework Equations G_F=\sqrt{\frac{192.pi^{3}}{\tau.m_{\mu}}} The Attempt at a Solution I tried plugging in the numbers that I have and I get...

Show that the phase space factor \rho \propto p^2 dp/dE for the decay \pi\rightarrow \mu + \upsilon is \rho \propto \frac{({m_\pi}^2 - {m_\mu}^2)^2}{{m_\pi}^3}E_\mu where E is the total energy.I can show that p^2 = ({m_\pi}^2 - {m_\mu}^2)^2/4{m_\pi}^2 but then I get stuck, I don't know how...

Hi, Could someone tell me please what is the scientific consensus(or some interesting theories) on why do muons decay and what is the mechanism of it? My understanding of particle decay is based on for example neutron wchich decays because a quark in it flips from down to up. But leptons, if...

I know this is basic stuff but my maths is truly terrible. I hope someone can help. Assuming you have a muon moving at near light speed, it will generate a magnetic field due to its movement. I'm assuming there is no external magnetuc field present. How can I calculate the field produced please?

Homework Statement A muon traveling with negligible energy loss at v = 0.996c travels past a 4730m mountain. What is the relavitistic mass of the muon given the rest mass energy of 1.69 x 10^-11 joules? Homework Equations The Attempt at a Solution I think I should be using...

Hi.I wonder is it possible to create a home made muon or gamma ray detector? And if it is possible would you mind to show me some way? Thanks...

I have been doing an experiment on muon lifetime, and am wondering if my count rate is correct. A little about the experiment: I have two scintillators (plastic) set up above a lead glass absorber, and a third scintillator(plastic), under the lead glass to veto muons that do not stop in the...

Homework Statement I'm having trouble with e-muon scattering. Tree level, no loops. (This is problem 7.26 in Griffiths Intro to Elem Particles). I get that the amplitude is as stated in the text, but I am having problems coming up with a number when the momenta and spins are added in...

Homework Statement How far will a beam of muons with kinetic energy (a) 1 MeV, (b) 100 GeV travel in empty space before its intensity is reduced by half? Homework Equations See below The Attempt at a Solution My main problem with this is that it looks like we won't be taught the...

Homework Statement A muon (an elementary particle) enters a region with a speed of 4.20 106 m/s and then is slowed at the rate of 1.10 1014 m/s2. (a) How far does the muon take to stop? ________ m Homework Equations x(t)= initial position + final velocity * time v(t)=...

Hello, how do the angular distributions of Bhabha Scattering e^+ e^- \Rightarrow e^+ e^- and Muon pair production e+ e- \Rightarrow \mu^+ \mu^- differ? Regards, Phileas Fogg

consider two frames s and s' where s' is moving with velocity vector (0.9c,0,0) with respect to s frame. At time t=t'=0 the origin of the two frames coincide. At time t=2.2x10^-6s a muon decays at coordinates (100,0.8,1.0) meters in the s frame. a) At what time and coordinates does the muon...

I am inquiring if anyone here is qualified to numerically calculate the following equation: Fermi coupling constant and Muon decay lifetime: (ref. 1) \frac{G_F}{(\hbar c)^3} = \sqrt{\frac{192 \pi^3 \hbar}{(m_{\mu} c^2)^5 \tau_{\mu}} Muon decay lifetime: (ref. 2) \tau_{\mu} = 2.197034 \cdot...

What is the typical efficiency (as a function of muon energy and/or rapidity) of a moun detector at an accelerator experiment? More specifically I would like to know about the lower energy treshold: E.g. if a muon with energy of just some few GeV is produced in the collision process, what is...

Hi, I'm starting a prac on muon lifetimes and we have been asked to calculate the range of energies suitable for the experiment... Thinking about this, I was a bit stumped as to what we were supposed to be calculating... Is this a limitation of the detection equipment? Or do low energy...

Homework Statement In some theory the electron neutrinos and the muon neutrinos mix like this: \mathcal{L}_{m} &= -\frac{1}{2}m\left(\overline{ \nu^{C}_{\mu\text{R}} }\nu_{\text{eL}} + \overline{ \nu^{C}_{\text{eR}} }\nu_{\mu\text{L}}\right) + \text{h.c.} Show that there exists a...

Homework Statement The muon is an elementary particle that decays with a mean (rest) lifetime of 2.20E-6 s. A beam of muons has a speed of 0.600c. In the reference frame of the muon, how far does the laboratory travel in one mean lifetime? Homework Equations L=\frac{L_o}{\gamma} The Attempt at...