In nuclear physics, beta decay (β-decay) is a type of radioactive decay in which a beta particle (fast energetic electron or positron) is emitted from an atomic nucleus, transforming the original nuclide to an isobar of that nuclide. For example, beta decay of a neutron transforms it into a proton by the emission of an electron accompanied by an antineutrino; or, conversely a proton is converted into a neutron by the emission of a positron with a neutrino in so-called positron emission. Neither the beta particle nor its associated (anti-)neutrino exist within the nucleus prior to beta decay, but are created in the decay process. By this process, unstable atoms obtain a more stable ratio of protons to neutrons. The probability of a nuclide decaying due to beta and other forms of decay is determined by its nuclear binding energy. The binding energies of all existing nuclides form what is called the nuclear band or valley of stability. For either electron or positron emission to be energetically possible, the energy release (see below) or Q value must be positive.
Beta decay is a consequence of the weak force, which is characterized by relatively lengthy decay times. Nucleons are composed of up quarks and down quarks, and the weak force allows a quark to change its flavour by emission of a W boson leading to creation of an electron/antineutrino or positron/neutrino pair. For example, a neutron, composed of two down quarks and an up quark, decays to a proton composed of a down quark and two up quarks.
Electron capture is sometimes included as a type of beta decay, because the basic nuclear process, mediated by the weak force, is the same. In electron capture, an inner atomic electron is captured by a proton in the nucleus, transforming it into a neutron, and an electron neutrino is released.
Homework Statement
Show that the energy momentum conservation forbids the reaction (gamma)-> positron + electron,
Gamma is a photon, which is chargeless and massless
Homework Equations
E(photon)=hf
p(photon)=hf/c
Conservation of Energy
Conservation of Momentum
4-momentum
The Attempt at a...
Homework Statement
An atom of mass M decays from an excited state to the ground state with a change in mass of ΔM<<M. In the decay process, the atom releases a photon. Use the laws of energy and momentum to determine the energy of the photon, assuming the atom decays from rest.
Homework...
Homework Statement
S(t) = S(0)e^{-i \pi f_{o}t} e^{-t/T^{*}_{2}}, 0 \leq t < \infty
S(t) = 0, t < 0
Show that the spectrum G(f) corresponding to this signal is given by:
G(f) = S(0) { \frac{T^{*}_{2}}{ 1 + [2 \pi (f- f_{o} )T^{*}_{2}]^{2}} + \frac{i2 \pi (f- f_{o} )...
Homework Statement
Radium 226 usually decays via three consecutive alpha decays into Pb 214. Show that energetically possibly for radium 226 to decay into 214|86 Pb and 12|6 C but tell why it is highly unlikely.
Calculate the lifetime of the direct transition as a function of the possibility...
I understand that the Tau lepton is considered to be an elementary particle. Yet, it can decay into muons and nutrinoes, etc. I can understand composit particles decaying into constituent particles. But I thought that what makes a particle elementary is the fact that it does not decay. So I'm...
In experiments with polarized beams of particles, I suppose one knows the spin orientation probabilities of those particles, is that the case?
When physicists make experiments with polarized beams of unstable particles, how do they treat spin in a decay of such a polarized particle? If the...
So i was watching Susskind lectures on entanglements
http://www.youtube.com/watch?v=CaTF4QZ94Fk
and there he mention decay (electron in magnetic field emits a photon whit certain probability )
That made me wonder :
1. How long you have to wait for emission to occur ? (for probability of...
Homework Statement
Suppose that you wish to find out how much gasoline is in an underground storage tank. You pour in one gallon of gasoline that contains some half-life radioactive material that causes a Geiger constant to register 48400 counts per minute above background radiation. The next...
Homework Statement
I have to figure how many beta particles are released and how much energy is released as gamma rays in the complete decay of 1000 atoms of (12/5) Boron.
Homework Equations
Mass of one boron atom is 10.811 g. I think we may be able to use E = mc^2 somehow but I'm not sure...
Homework Statement
A culture of bacteria have a growth rate (as a percent) given by kb per year, constant k>0 and b is the number of bacteria. A virus removes bacteria at a rate of m bacteria per year. I am trying to model this information using an ODE, but might be making a mistake.
Homework...
i am looking at the decay scheme of Sn126 > Sb 126 > Te126 and would like to know how many gamma rays Sb126 throws out on average and see if I've understood the diagram correctly;- Sn128 -> decays to (126m-Sb) 19.5min half life, where 14% decays through IT with 17.7 kev gamma and then 12.46 day...
Hi,
I am studying the soft neutrino spectrum from WIMP annihilation in Earth through the b-bbar channel as a part of my research. Can some one please tell me what is the decay tree for the b-bbar from neutralino WIMP or just the decay tree of the b quark.
This seems like a simple...
I'm trying to understand the concept of exponential decay. To clarify, the decay of Uranium is not the same as say pulling the plug in a tub full of water. The water will drain out of a tub at a steady rate from start to finish. I assume Uranium doesn't do that. So you COULD say the water has a...
Hey now!
I have just calculated the lifetime of a resonance state using its total width. I want to work out which force this decay is due to. How would one go about doing this?
Thanks
New here, guys. I anterospectively appreciate your patience with me. I am neither a professional physicist nor even a student (at least not formally) of physics. However, after some perusing I just now understand the rudiments of special and, I think, general relativity. And, like a child...
Hi,
This isn't a homework problem - this is to help with the design of an experiment. I know the questions below are probably fairly simple physics questions, but I've got lost in laws and units! Please help me out.
The experiment
A cylinder 20cm long and 2cm wide is filled with 6cm of...
Hi,
Does anyone know why the decay of hypochlorite/free chlorine in pool water due to UV light might show a logarithmic decay (natural log) as opposed to an exponential one?
I did a chemistry experiment with scaled up concentrations of chlorine and cyanuric acid (scaled up 25x). Even in...
Does this decay leave the He3 atom with only one electron? The only decay productsas far as I can tell are the electron and antineutrino, so it seems like the atom would only retain the original H3 electron.
Now if that's the case, why is the beta decay electron emitted rather than fitting...
Hello, I am trying to simulate the gammas from certain radioactive decays but I am really puzzle as to how to approach this. The site I'm using as a reference lists the intensities of the different gammas corresponding to an specific decay.
The thing that confuses me is that, for example...
I read a book in which it proposed that anti-matter "decayed" faster than matter, right after the big bang, which is why there isn't an around. Unfortunately, I've forgotten exactly what the writer meant, and who it was...
Can someone tell me who the writer was, and in what book it was...
Homework Statement
After 25 years, 60% of a radioactive material decays. What is the half-life?
Homework Equations
I used a ratio of 25/.60= x/.50
The Attempt at a Solution
I also tried this ratio as 25/.40= x/.50 I am not really sure what equation I should be using but this...
Homework Statement
42. If a charged pion that decays in 10−8 second in its own rest frame is to travel 30
m in the laboratory before decaying, the pion’s speed must be most nearly
(A) 0.43 × 108 m/s
(B) 2.84 × 108 m/s
(C) 2.90 × 108 m/s
(D) 2.98 × 108 m/s
(E) 3.00 × 108 m/s
Homework...
I know that things moving closer to the speed of light will decay at slower rates, but does this include the decay of third generation quarks into second and then first generation quarks? If a third generation quark is created and in an area of the universe where things are moving extremely...
Homework Statement
Pions can decay via the reaction π+ → μ+ νμ. Show that the energy of the neu- trino in the rest frame of the pion is given by
E_v = \frac{m^2_∏-m^2_μ}{2m_∏}
Pions with energy Eπ in the laboratory frame (Eπ >> mπc2) decay via the above reaction. Show that the...
If 40 grams of radioactive substance decomposes to 20 grams in 2 years, then to the nearest gram the amount left after 3 years is
well i used the $N(t)=N_{0}e^{-kt}$
So $20=40e^{-k2}$ thus deriving k=.3466
Thus $N(3) = 40e^{-.3466(3)}$ resulting in: $N(3)= 14.1410$ or approx $14g$
just...
Hi,
From what I understand, Electron Capture is when a proton absorbs an electron, converts into a neutron and releases a neutrino (p + e- = n + v.)
I also understand that a proton is composed of two up quarks and a down quark and a neutron is composed of two down quarks and an up quark. Here...
proton beta plus decay --proton proton chain
Im a biologist so forgive the ignorance.
In beta-plus decay, a proton decays into a neutron and emmits a β+ and an electron neutrino. If the neutron is more massive than the proton where did the extra mass come from?
Im asking in the context...
Homework Statement
a slab of some insulator with an unknown permittivity ε. To determine ε experimentally I
go to the lab and insert the slab in between the plates of a capacitor whose plate spacing exactly
matches the width of the slab. I observe that the time constant of exponential...
I am pretty sure they don't, but Wikipedia says that their lifetime is about 10^26 years. Then it says they are stable because they are the lightest particle to have an electric charge. I am confused now. It can't decay because if it did, it would violate charge conservation, since two lighter...
Ive read that elementary particles can decay. I am trying to understand how this can be with a particle that has no composition. So i have two questions:
If elementary particle A decays into particles B and C, then why can't we say that A is composed of B and C?
If an elementary particle can...
Hello, I need some help understanding this.
http://atom.kaeri.re.kr/cgi-bin/decay?U-238%20A
it says that 79% of the time U-238 goes to the ground state of Th-234 emitting a 4.198 MeV alpha ray. But the difference between the ground state of U-238 and Th-234 is more than 4.198 MeV. What...
Radioactive sample activity is said decreases by factor 5 during 2-h interval. How to find the decay constant? If the given initial value is not given? I don't know how to calculate.
Homework Statement
Hello,
Given the decay: H \rightarrow W^{-} + \bar{s} + c, where it only matters that \bar{s} and c are fermions and W^{-} is the W boson. If one knows the total width of the process how can we calculate the longitudinal width?
Homework Equations
In the frame...
So I have a situation where the results in a table (x and y), where y reaches 0. According to my understanding, mathematically, exponential decay can never reach 0, right?
So does that mean that I can't use an exponential curve of best fit with the results in my table (x = 0,1,2,3), (y = 4...
What is it?! I have tried plotting dummy data showing y values halving as x values double and no simple type of equation results (ie exponential, power, polynomial etc) - is this true? I thought such a standard function would be a simple one!
Hello,
I had a doubt about a specific Higgs boson decay.
In the process H -> c+\bar{s}+W^-, where c is the charm quark, \bar{s} the anti strange quark, in tree level I wrote the diagrams sent in attachment.
My question is: does the third diagram exist? I do know that the s...
This has been really bugging me. Beta plus decay is when a proton emits a positron in order to convert to a neutron, thus making the element more stable. If protons are less massive than neutrons, how does that make sense? You have less mass, emit some, and end up with more? I must be missing...
Homework Statement
I have decay of Higgs to fermion and antifermion and I need to find out the invariant, averaged amplitude.
And I wrote down the Feynman diagram, and calculated everything and I came to this part:
\langle|M|^2\rangle=\frac{g_w^2}{4}\frac{m_f^2}{m_w^2}(4p_1\cdot...
1)Is Potassium-40 dangerous material?How dangerous is it?Does it belong to restricted materials?
2)Why Potassium-40 decays in such different modes such as beta decay,electron capture,
and positron decay?What could be done to prevent it decay in other ways with exept beta decay?Or what could be...
Do ions have a measurably different rate then their neutral counterpart or does the rate of radioactive decay and electrons have no correlation? Also, when a source states an elements half life is that the same for all of its isotopes?
I'm interested in calculating how much power (in Watts) could be produced (assuming a 100% conversion efficiency between Gamma Rays and electrical power) from gamma decay of a 60 Co -> 60 Ni.
How long would this reaction last? Just a few seconds or longer? Are there any decays that last for a...
After reading "The Five Ages of the Universe" by Greg Laughlin and Fred Adams, I wondered, if all matter composed of ordinary atoms (protons decay) decay, and black holes decay due to Hawking Radiation, do neutron stars decay in any way? They are composed entirely of neutrons that are kept...
I wondered if the following decay was possible:
\Xi^0 \to \Lambda + \pi^0
The only mechanism I can think of is that a strange quark of the Lambda particle emits a Z and becomes a down quark followed by the Z creating a up-antiup pair. But I'm not sure whether the strange to up transition (by...
Hello,
Would all radioactive decay lead to a daughter nuclide in a "nuclear excited" state, and if so, would this indicate that gamma rays are emitted in order for the nuclear ground/stable state to be reached after any decay?
Also, if nuclear decay occurs b/c of the imbalance of...
We're made of roughly 10^28 protons. Let's imagine that the average lifespan of a proton were 10^28 years even though it is much higher. That would mean one proton per year would decay in our body. How much harm would one proton decay cause us?
Okay, I have had a idea for some time and I want to see if it will work.
first you get Magnesium 24 launch protons at 20 Mev then a decay happens. Now you have Na22 sodium 22 beta positive decays into a anti electron of 1 Mev with its counter particle they annihilation into 2 gamma rays which...
I am completing an assignment that is covering alpha, beta, and gamma decay. I am going to try and keep this as general as possible, as I want to figure this out myself but I just looking for feedback to make sure I am on the right track.
I noticed that after alpha decay, the mass of the...
Homework Statement
What is the maximum kinetic energy (in keV to 3 significant figures) of an electron emitted in the beta decay of a free neutron? Write down the decay equation using accepted notation.
Mass of a Neutron: 1.008665 u
Mass of a Proton: 1.007276 u
Mass of an Electron...