Gamma Definition and 714 Threads

Handgun ammunition contains Ba and Sb compounds. Firing a handgun leaves residues of these elements in microgram quantities on the back of ones hand. Such quantities are 1000 times above the detection threshold for neutron activation analysis for Ba and Sb. Assuming a swab is taken from the back...

hi, i was thinking that every function that satisfies the conditions $$f(0)=1$$ $$f(n+1)=(n+1)f(n)$$ could be a generalization of the factorial function, and why the gamma function is the only function that complies with this conditions? I mean why don't exist other functions, or functions...

What would be the energy (eV) of a gamma ray photon with the wavelength h (Planck's length)?

I am aware that in classical electrodynamics a metal exponentially attenuates TEM waves. I am wondering if this fact is sufficient to obtain estimates of the cross section of low energy gamma rays in metals. Obviously it would fail for higher energy gamma rays where Compton scattering and pair...

Homework Statement An Fe nucleus (A=57) decays from an excited stated to the ground state by emitting a gamma ray. The energy of the photon is 14.4 KeV when the nucleus is held fixed. If the nucleus is free to recoil then the energy of the photon emitted will be? Homework Equations ## E =...

Hi, I'm currently going through Griffith's Particle Physics gamma matrices proofs. There's one that puzzles me, it's very simple but I'm obviously missing something (I'm fairly new to tensor algebra). 1. Homework Statement Prove that ##\text{Tr}(\gamma^\mu \gamma^\nu) = 4g^{\mu\nu}##...

Homework Statement I am trying to evaluate the following integral: ##\displaystyle \int^{\infty}_0 (1 - e^{-x}) x^{-\frac{3}{2}} \, dx## Homework EquationsThe Attempt at a Solution When I split the above integral, I get the following ##\int^{\infty}_0 x^{-\frac{3}{2}} \, dx - \Gamma...

According to the old thery of light the energy carried by by a wave is proportional to the amplitude of the electric field not to the frequency as Planck proposed, so an eletromagnetic radiation in the gamma spectrum carry the same energy as a radio one if their amplitude is the same? They only...

Gamma rays scatter and ionize atoms, which stretches out their wavelength, right? How many ions could a single gamma ray photon create before it's absorbed due to the photoelectric effect?

I'm trying to find out how much gamma-radiation the average human is exposed too from background radiation. But all I can find are numbers describing the total background radiation, not just the gamma radiation alone. Does anyone know where I can find this information?

Does anyone know how I can prove the following equation? ##\displaystyle \frac 1 {d-1}-\int_0^1 \frac{dy}{y^d} \left( \frac 1 {\sqrt{1-y^{2d}} }-1\right)=-\frac{\sqrt \pi \ \Gamma(\frac{1-d}{2d})}{2d \ \Gamma(\frac 1 {2d})} ## Thanks

Γ(n) = ∫x→∞ tn-1 e-t dt?

Is it true gamma ray burst diameter can be as big as the solar system and the sky would become bright with its light even if it is 4000 light years away? Saw this at History Channel.

Consider the matrix ##C = \gamma^{0}\gamma^{2}##. It is easy to prove the relations $$C^{2}=1$$ $$C\gamma^{\mu}C = -(\gamma^{\mu})^{T}$$ in the chiral basis of the gamma matrices.1. Do the two identities hold in any arbitrary basis of the gamma matrices? 2. How is ##C## related to the charge...

I am not a physicist but interested in the decade long debate between Einstein and Niels Bohr, especially in the philosophical implication of the EPR Effect. I've been wondering if anyone could explain why Einstein, Podolsky and Rosen didn't applied the Lorentz Transformation formula - the...

Hi all, I'm studying ## \mu \to e~ \gamma ## decay from cheng & Lie' book " gauge theory of elementary particles ". In Equation (13.84), he wrote the neutrino propagator ## \sum_i \Big ( \frac{U^{*}_{ei} U_{\mu i}}{(p+k)^2-m_i^2} \Big), ## (where the sum taken over neutrinos flavors) in the...

Hi. On the webpage of a lecture at the University of Virginia, I found this derivation of the magnetic force using Lorentz contraction and electrostatic force. They approximate the gamma factor to the order of ##v^2## and get the correct result. How is it possible to get to the same result...

Homework Statement I'm not after another proof. I've just got a couple of inequalities I don't know how to show when following a given proof in my book. These are: Q1) ## 0\leq x \leq 1 \implies x^{t-1} e^{-x} \leq x^{t-1} ## So this is obvioulsy true, however I think I'm being dumb because...

In the process of heat transfer from core to photosphere, each gamma ray in the Sun's core is converted during scattering into several million visible light photons before escaping into space.----from Wikipedia How does heat transfer related to scattering? Is it related to Raman scattering as...

Covariant gamma matrices are defined by $$\gamma_{\mu}=\eta_{\mu\nu}\gamma^{\nu}=\{\gamma^{0},-\gamma^{1},-\gamma^{2},-\gamma^{3}\}.$$ -----------------------------------------------------------------------------------------------------------------------------------------------------------...

The gamma matrices ##\gamma^{\mu}## are defined by $$\{\gamma^{\mu},\gamma^{\nu}\}=2g^{\mu\nu}.$$ --- There exist representations of the gamma matrices such as the Dirac basis and the Weyl basis. --- Is it possible to prove the relation...

A gamma ray source emits gamma ray to a photographic plate in a container. The book said the blacked region on the photographic plate wouldn't be affected if the gas pressure of the container was increased. However, I think that the gamma ray will ionise more air molecules and lose more energy...

Hi , This is my first post in this forum, I am new and happy to be in this forum :) My question is, during the calculation of neutron and photon of a single-point reactor core, does MCNP5 taking into account the gamma decay? because during fission process, fission product can emit gamma. Does...

Let's say we have manned space vessel powered by a highly power but radioactive rocket engine, producing a lot of deadly gamma rays. The classical answer to this problem is to use a shadow shield. However, Nuclear Shadow Shields are very heavy. What about the idea of instead of trying to absort...

Homework Statement Why? We can use shorter wavelengths than that of electrons to view electrons and more? What is stopping us? Can the image not be imprinted on a plate of some sort instead of being viewed by the eye directly? Homework Equations none The Attempt at a Solution I'm guessing no...

http://phys.org/news/2016-10-deadly-nearby-gamma-ray.html How deadly would a nearby gamma ray burst be? The original paper in Astrobiology is locked, but this summary is pretty complete. "A burst at the South Pole fits in with theories of the Ordovician extinction because the measured...

I don't know why this problem just occurred to me- sorry if it's a silly question: Why is it that there isn't a limit to how high the gamma factor can be? How can you ever have a gamma factor which is more than 2, for example? Although if you plug the numbers into the equation for gamma it makes...

https://en.m.wikipedia.org/wiki/File:Moon_egret.jpg Can we use better telescopes of this type (ground based gamma rays telescopes) to image the surface and subsurface of a planet with a lot of resolution?

I understand that the fusion of hydrogen to helium in our sun's core generates gamma rays. My question is how are these gamma rays transformed to the full spectrum of photons that we that we observe from earth?

Can high energy incoming protons and electrons be absorbed and their energies remitted by photons? If so what are the typical ranges of energies emitted and are they heading in the same direction as the original emission if we had a sheet of metal being bombarded by those protons and electrons?

Homework Statement A 1 meter long uniform line source of high energy photons emits 10^7 photons /sec. Calculate the particle fluence rate (flux density) at a point P 1m away from the midpoint of the source. Homework Equations ## dN = number~of~particles ## ## da = differential~area## ##\Phi =...

Hello, i have here some identities for gamma matrices in n dimensions to prove and don't know how to do this. My problem is that I am not very familiar with the ⊗ in the equations. I think it should be the Kronecker-product. If someone could give me a explanation of how to work with this stuff...

I was informed I might get a better response by posting to this forum, so sorry for the double post. Hello all, I am currently attending a service course for a PET/CT system for my employer. We have been covering the physics behind the function of detectors and my instructor said something...

Homework Statement A standing wave with a frequency of 1100 Hz in a column of methane at produces nodes that are 0.200 m apart. What is the value of γ for methane? (The molar mass of methane is 16.0 g/mol)Homework Equations v = sqrt ( γRT/M) where R is 8.341, T = 20 °C and M = 16.0 g/mol. v=fλ...

When electrons produce photons in accelerators what is the mechanism called? and who was the first to do it?

Hello! These might be silly questions to the experienced, but this will be my first time trying gamma spectroscopy, so I'm a newbie. Firstly, I'm wondering if there's some software that will record changes in the spectrum over time? I know some people have been doing audio recording, but it...

Homework Statement simulation of bersiv function of NaI detector it's in cylinder of water with volumetric source of Potassium40 (90% beta 1.31 mev & 10% gamma 1.504 mev ) how candefin define electron and gamma Volumetric source in mcnpx (6) ...

Homework Statement (Preface: I am not a physicist) The pulse height spectrum of a radioactive source known to emit high energy photons was measured using a small detector. Three distinct peaks were observed at heights of 7.38, 6.49 and 5.60 V, along with a continuous portion of the spectrum...

I'm working on a lab and the task is to determine the half life of an element studying the beta radiation or the gamma radiation (emitted from the daughter). I have all the data and I'm done with the beta part, that was pretty straight forward. I have no clue how to relate the gamma radiation to...

I have two questions related Gamma functions 1. Finding ##\Gamma## analytically. Is that possible only for integers and halfintegers? Or is it possible mayble for some other numbers? For example is it possible to find analytically ##\Gamma(\frac{3}{4})##? 2. Integral...

I want to use the equation: Fr='gamma'*distance from centroid*Area but the example is showing density in N/m^3 while I only have the density in kg/m^3 Does this mean I have to multiply it by 9.81 to get the right answer? Thanks.

I took differential equation over the last year and we talked about gamma functions in class but it wasn't in our books and I don't speak broken Russian so it was hard to understand what was going on. I'm wondering if the gamma function is similar to the dirac or heaviside functions and if...

Hi folks, IMO, it should be possible to initiate a nuclear fusion of H1-H2 and H2-H2 in crystals of Lithium Hydride induced by gamma photons emitted form decay of Na24. Could anyone please verify if the following is correct? By using nuclear photodisintegration effect, we need a gamma photon...

So my question is, how long can you be exposed to a gamma radiation for? Specifically, I've been working with a sealed cobalt-60 source for a final presentation. Now my professor noted to me that these sources we're using aren't radioactive enough to cause us any harm. However, I've been...

I recently acquired a 39 gram sample of U-238 metal. I ran a gamma spectrum on the sample and found a major peak around 97 keV. I couldn't find any documents that mentioned this peak for U-238, but it is very prominent. I ran a gamma ray spectrum on a 5 gram Uranium Oxide sample and it also...

Homework Statement This isn't a homework problem; it's just something I'm working on and I'm a little confused as to how to go about dealing with what I have. I have several traces of Dirac's gamma matrices, and I know that the trace of an odd number of gamma matrices is zero. So my first...

I wrote the following python script in order to try and look how $$\sum_{i=1}^\infty f(n) = \sum_{i=1}^\infty \frac{\Gamma(n+1/2)}{n^2 \Gamma(n)}$$ behaves. However it appears to have some problem with my function f(n) for n=172 and above throwing this error: I thought that there was a problem...

Hi everyone this is my first time posting here, First of all, excuse my english because here in Mtl we speak French mostly. My team and I are working on an university project in Montreal (Qc) Canada (Polytechnique) regarding the recycling of radioactive material waste. We are working on the...

When I saw the report of a gamma ray burst associated with the LIGO GW event, my immediate thought was that the obvious explanation is that the compact massive objects were not in fact black holes, and the gamma ray burst was from the energy of the final collision and merger. This would...

Hello, I am trying to fully grasp the transmutation of nitrogen into radiocarbon (radiocarbon or carbon-14) via gamma collision high in the atmosphere But, I don't because I cannot whether something also happens to the electron. The canonical description is thus. High energy gamma particles...