Gamma Definition and 714 Threads

Given the energy if sun were to instantly vaporize (using E = mc^2) = 2.7 x 10^47 J ( E = (mass of sun) * c^2) how far would one have to be from a gamma ray burst is order for the average power from it to be equivalent to the average power from the sun's radiation at the Earth (solar...

Given the energy if sun were to instantly vaporize (using E = mc^2) = 2.7 x 10^47 J ( E = (mass of sun) * c^2) how far would one have to be from a gamma ray burst in order for the average power from it to be equivalent to the average power from the sun's radiation at the Earth (solar...

^ thanks

I have come across this expression in some notes \Gamma (z) = \frac{1}{z} \prod \frac{(1+ \frac{1}{n})^{z}}{1+ \frac{z}{n}} Do you think it's accurate? I have some doubts because I have looked for it on wokipedia, and I couldn't find it.

Hi, I need to calculate \Gamma(7/3)/\Gamma(1/3) is there some trick to doing this type of problem? I'm finding it really hard to do from first principles. Any help would be great, thanks!

Hello; Just needed to clarify something. When anti-particles undergo gamma radioactive decay, is a gamma ray produced, or an anti-gamma ray? Or something completely different? Thanks.

I have given some serious effort to working out and understanding the MLE of a distribution. From the distribution f(x;\theta)= x^{3}e^{-x/\theta}/(6\theta^{4}), I have gotten the MLE theta-hat = xbar/4 I have a lot of difficulty figuring out if it is an unbiased estimator or not. How do I...

Validation of relativity has been tested by measuring the apparent position of stars as our view passes by the edge of the sun. A difficulty being that we can not easily view stars with the sun so bright so we wait for an eclipse. I have a few questions: 1) Is this still a difficulty...

Hi all, Got a bit of a problem with a lab experiment at uni (I'm not sure if this is the right place to post this, mods feel free to move it if necessary!) Anyway: We're trying to get a plot of efficiency against energy for a planar germanium detector. We've got spectra for different...

Homework Statement I (2n,m) = Integral cos^(2n)O sin^(m)O cosO dO limits are 0 to 2pi and O = theta 0.4/3 = 0.1333 show that I 2n,m = 2n/ m+1 (I2n-2, m+2) Homework Equations I really have no idea how to work with this problem. It is under Gamma function of the instructors...

Hey, For my first post here, I had a question about the gamma spectrum of Na-22. I measured the gamma spectrum of Na-22 with a Ge-spectrometer. Using Genie-2000 software I saw two peaks in the spectrum, 1274 keV (peaksurface 3981±1,74%) and 511 keV (peaksurface 25494±0,68%). (Horizontal...

Hi My QFT course assumes the following notation for gamma matrices: \gamma ^{\mu_1 \mu_2 \mu_3 \mu_4} = {\gamma ^ {[\mu_1}}{\gamma ^ {\mu_2}}{\gamma ^ {\mu_3}}{\gamma ^ {\mu_4 ]}} what does the thing on the right hand side actually mean? Its seems to be a commutator of some sort.

Is there a video of that kind of scenario floating around youtube? Have not had any luck finding a video of such a scenario.

HI, I've been mulling over the derivation of the Lorentz factor gamma in my head for some time now & had worried about it a bit. I've now discovered that what was bothering me was something called "frame-jumping". This is where you use the Pythagorean Theorem to derive Gamma. If you're...

Hi, For my experiment, i need the gamma ray energy spectrum of Cd-109 and Sn-113 with NaI detector. would anyone help me please? thanks everyone.

Sorry if I sound crazy, but I just heard about this and would like a reliable fact check before I worry. So I recently heard about this binary star system known as WR104. I read that it was pointed right at us and, at some point in the future, it will release a gamma ray burst that will wipe...

Dear guys, I read a derivation of the dimension of gamma matrices in a d dimension space, which I don't quite understand. First of all, in d dimension, where d is even. One assumes the dimension of gamma matrices which satisfy \{ \gamma^\mu , \gamma^\nu \} = 2\eta^{\mu\nu}...

Homework Statement If you were given 4 cookies, each emitter different ray 1)Alpha, 2)Beta,3) Gamma , 4)neutron You have to make decision of the following: a)eat one of the cookies b)dispose one of the cookies at storage facility called WHIP c)put one of the cookies in your pocket...

Homework Statement Solve. \int\limits_{0}^\infty \exp\left\{\frac{-2n}{x} - \frac{x}{\theta}\right\} x^{n-1} dx n,\theta are constants. Homework Equations The Attempt at a Solution So actually this problem is from the realm of stats...find the MVUE of P(X<2) where X_i\sim...

Hi all, i have a critical question. You have a point source (radioactive)..that emits 100 gamma per second. Now if you place a metal or foil (e.g., Al)..will the no. of gamma reduces? If it reduces how to calculate..based on beer law..(if we know the attenuation coefficient of that metal and...

k*Γ((n-1)/2 + 1)=Γ(n/2 + 1) I need to solve for k, and I'm having some difficulty manipulating the gamma function to obtain my desired result. Any properties, hints or help would be greatly appreciated.

Can you show me how to get the series representation of \Gamma(n-3/2+1)? For example \Gamma(n+3/2+1)=\frac{(2n+3)(2n+1)!}{2^{2n+2}.n!}. I cannot figure out how to write a series with: n=0 => \Gamma(0-3/2+1)= -2\sqrt{\pi} n=1 => \Gamma(1-3/2+1)= \sqrt{\pi} n=2 =>...

Homework Statement The ‘half-thickness’ tells us the thickness of a given material needed to absorb half the incident photons from a particular source. Find the average distance of a gamma ray in lead before its first collision. I have a value for the half thickness (and equivalent half...

Can anyone walk me through this calculation? I'm not completely sure how to do it (merely a student). So is this considered a 1 body radiative decay? So the factorized amplitude would be something like M \propto <D^0|\bar{u}\gamma_\mu\left(1-\gamma_5\right)c|0>[A_1...

I request for help in understanding the following: Q1. Why is the ionising power of alpha particles greater than that of gamma rays? Q2. Why does the ratio of neutrons to protons in a nucleus increase after the emission of an alpha particle? I would like to have a quantitative...

Homework Statement Define the function: f(x)= The integral from 0 to infinity of t^(x)e^(-t)dt. Find f(3), f(4) and f(5). Notice anything? Homework Equations N/A The Attempt at a Solution I assume that I start by finding the integral of f(x). I used wolfram alpha and found that...

Homework Statement A gamma ray from 198Au incident normally on a thick aluminum slab travels 1.45 cm before it undergoes a Compton scattering. Calculate the range of angles through which the gamma could scatter and still have at least a 10% probability of re-emerging from the incident slab...

Homework Statement One of the thermonuclear or fusion reactions that takes place inside a star such as our Sun is the production of helium-3 (3He, with two protons and one neutron) and a gamma ray (high-energy photon, denoted by the lowercase Greek letter gamma, ) in a collision between a...

Hi guys, me again, with two questions. Just saw a documentation about supernova, when supernova happens, a huge amount of gamma ray is emitted since it is vacuum in space, why wouldn't the gamma ray hit us? Even if its far and takes a few thousand years for it to reach us, it would eventually...

Homework Statement This isn't really the problem, but figuring this out will probably help me with the rest of the problem. I want to know what [\gamma^0, L_x] is. Homework Equations I know the commutation (or rather anticommutation) relations between the gamma matricies, and I know the...

I'm not sure if this thread fits into this particular forum, but about how many megatons would be equal to the explosive power of a gamma ray burst?

Homework Statement I'm taking a nuclear physics seminar, and I'm wondering what causes the differences in the energy spectra between alpha, beta, and gamma emissions. Specifically, why is dispersion for energy values in alpha radiation so different from that of beta? I'm also looking for a...

Homework Statement Evaluate \int^{\infty}_0 \frac{1}{B^{\alpha} \Gamma(\alpha)} \theta^{\alpha + x -1}e^{- \theta(1+B)/B} d \theta Homework Equations The Attempt at a Solution \int^{\infty}_0 \frac{1}{B^{\alpha} \Gamma(\alpha)} \theta^{\alpha + x -1}e^{- \theta(1+B)/B}d...

Does anyone know the speed that gamma rays travel, as a speed or in proportion to the speed of light. Thanks

Hello all, i need one suggestion for shielding of a gamma source. I have a gamma source with initial activity of 50 mCi=1.85X10^9Bq. What thickness of lead needed to protect myself! I used the formula I(x)=I exp(-kx). I=50mCi; k=37.6 cm^2/g (linear attenuation for 122 keV) and x the thickness...

\[Gamma][v_] := 1/Sqrt[1 - (v)^2] plot1 = Plot[\[Gamma][v], {v, -.99, .99}, PlotStyle -> {Thick, RGBColor[0.6, 0, 0]}, PlotRange -> All] \.08 plot2 = Plot[0, {v, -.99, .99}, PlotRange -> All] \.08 Show[plot1, plot2, PlotRange -> All, AxesLabel -> {"\!\(\*FractionBox[\"v\"...

Hi, I have measured some spectrums from various gamma sources and I was wondering what kind of fitting I should do to determine the Compton edge. I have access to Logger Pro, Excel, and mathematica. I have fit the photopeak with a Gaussian so I know the uncertainty in the Compton edge, I...

Hi, I'm trying to work out the variance of the gamma(I'm up the the part where you multiply x^2 by the function), but i don't know how to work out what \gamma(\alpha + 2) equals to i know I am supposed to use the fact that \gamma(\alpha + 1) = \alpha \gamma(\alpha) but i don't...

Hello PF members, I curious to know some basic idea..why the line shape of nuclear decay is displayed as a Breit-Wigner (BW) profile (x-axis as energy and y-axis as intensity) ??.. or any \gamma ray is often shown as a BW profile?? thanks for your reply.

A very vague question: What is the derivative of the gamma function? Here's what I've got, using differentiation under the integral. Can anybody tell me if I'm on the right track? What does my answer mean? \Gamma(z) = \int_0^{\infty} t^{z - 1} \: e^{-t} \; dt The integrand can be...

Hi! Can someone help me prove that the variance for the inverse gamma is: \frac{\beta^2}{(\alpha - 1)^2 (\alpha -2)} I started with: E(x) = \int_0^\infty x \frac{\beta^{\alpha}}{\gamma(\alpha)}(\frac{1}{x})^{\alpha + 1} exp (\frac{-\beta}{x}) dx then i let y = \frac{\beta}{x}; dy =...

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...

\Gamma(z)=\int^{\infty}_0x^{z-1}e^{-x}dz z\in\mathhad{C} In which problems in statistical physics we need gamma functions of complex argument? I don't know how to calculate \Gamma(i) for exaple?

Hello all, Is there any way to make the Gamma function \Gamma[z] defined at z=0? Because in my calculations, I have a single case among many other cases where the argument of the gamma function equals zero. Regards

I spend some time studying special functions recently. I found two definitions of gamma function, one in form of integral and the other in form of infinite products, and I cannot prove of their equivalence. I found the definition in infinite product form important in proofing many properties of...

I need to find a way to sum/ a closed form representation for: \sum^{N}_{n=1}\frac{\Gamma(n-s)}{\Gamma(n+s)} 0<Re(s)<1 Thanks for the help in advance.

I just can't comprehend that gamma ray can come out of a black hole. Gamma rays are electromagnetism which contain photons, but photons have no mass. And we all know that a black hole swoops up light as well. And what recaton has the gamma ray on the mass around the black hole? I know It's true...

I need to show whether or not: |\gamma(s,1)| converges for 0<Re(s)<1. Does anyone know of an expansion for this that would prove convergence?

I know that a Hypernova release two huge jets of gamma rays, but I'm not real sure on how they are formed. Also it was mentioned that by following the burst of gamma rays, we're looking back in time. How is this actually possible. I have a shaky grasp on the idea.

Homework Statement How can i determine the integration of incomplete gamma function. I mean how to determine int_0^1 gammainc(3/4,r). where gammainc(a,x)=int_0^x t^(a-1)e^(-t) dt Homework Equations The Attempt at a Solution