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.
I'm attaching the problem as a png. The top half is the question whereas the second half is the solution. I understand everything about the question until the ultimate answer
the final answer is: (r (constant) x0(constant) / k (constant)) * (1 - e^-60t)
as shown.
However I don't...
Homework Statement
Consider the decay A -> B + C (where A is not at rest). In the rest frame of A, B is emitted in a random direction (all directions have equal probability) and I need to show that in the lab frame, the energy distribution of B is uniform.
(We assume that B has negligible...
Hi,
I am trying to control a voice coil motor's force, which is directly proportional to the current through its coil. The direction of the force needs to be reversed, so I thought an H-bridge would be a good way to do it. I have read a lot about H-bridges but I am still confused about a few...
Beta decay is when a neutron creates a proton and an electron and the electron is then expelled, right?
So I was wondering, why would the new atom formed not be an ion?
If the neutron became a proton, the mass number should stay the same, and the atomic number should increase by 1 since...
I'm starting to read up a bit on QFT, starting with Griffith's intro to elementary particles book. I've gone through the background stuff and I'm now into the QED chapter. I was trying to get a feel for how the number of loops introduces free momentum variables, and I ended up drawing a diagram...
I don't know how to solve the questions that my lecturer gave me. I not understand about probability of half life. Can anyone explain to me and help me solve the questions as well? My lecturer ask us to prove the probability as shown in the picture.
Homework Statement
I must be overlooking something very simple:
"A particle of mass M decays from rest into two particles. One particle has mass m and the other particle is massless. The momentum of the massless particle is..."
Homework Equations
energy² = mass² c^4 + p² c²
momentum is...
I was recently wondering about this. A very high energy photon cannot transform into any collection of particles with mass without interacting with another photon or particle, else it is trivial to show energy/momentum cannot be conserved. Interacting with another photon allows...
Hi everyone,
I find the following table from WolframAlpha concerning the probability of various decay modes of the pion \pi^{+}.
My question is: Are these probabilities calculated, or are they numbers from numerous experiments?
Thanks,
I am wondering what any experts think about these Wikipedia explanations of radioactive decay. (Wiki asks for help improving this article, so somebody must recognize some issues.)
Thanks.
under "EXPLANATION":
Huh?? Does this mean anything??
What does "activation energy"...
Hi All,
I have a question regarding the WKB method for computing tunnelling through barriers.
I understand the method and the ability to arrive at a solution as given in the first part (summary) of the first page here:
http://www.physics.udel.edu/~msafrono/425/Lecture%2018.pdf
Is it...
Could you make a solar sail that derives it's energy from the decay of a radioactive element such as plutonium, uranium, or palonium? I understand that such elements radiate in all directions but if you had a 1 kg sphere of it attached to a boon which was attached to a reflective sail (e.g...
What drives particle decay? Is it an elementary, irreducible observation or can we model it based on a set of observable variables?
Do all particle decay modes involve the weak force? Does one even need the intervention of a given force to have particle decay?
Does string theory explain...
From Wikipedia: "Positron emission or beta plus decay (β+ decay) is a type of beta decay in which a proton is converted, via the weak force, to a neutron, releasing a positron (the antimatter counterpart of an electron) and a neutrino.
Isotopes which undergo this decay and thereby emit...
The \Lambda baryon (quark content uds) decays into n + \pi^0 or p + \pi^-. In the case \Lambda \to p + \pi^-, the s quark decays into a u quark, releasing a W^- in the process (which subsequently decays into a \pi^- meson). What happens in the \Lambda \to n + \pi^0 case? (I tried Google, but...
A certain amount N_0 of a radioactive isotope with decay constant \lambda_1 is injected into a pacient. Besides that isotope's natural decay process, there's also a biological elimination process, with decay constant \lambda_2.
Now, at time t, the number of remaining isotope atoms is given...
http://arxiv.org/PS_cache/arxiv/pdf/1106/1106.1470v1.pdf
"Evidence for Time-Varying Nuclear Decay Rates: Experimental Results and Their Implications for New Physics"
Authors: Ephraim Fischbach, Jere H. Jenkins, Peter A. Sturrock
(Submitted on 7 Jun 2011)
Abstract: Unexplained annual...
I heard that (charged) Pions decay due to the weak force, but what does that have anything to do with it? Also, wouldn't the strong force hold them together?
I actually came up with the idea of the Pion on my own before discovering that it had already been discovered.
Also, could they be...
Does time dilation effect radioactive decay?
For example, if I speed a radioactive atom up to near light speeds, will its decay slow?
If so, could this be used to study atoms with a very short decay time?
What causes the "random" decay of atoms in different interpretations?
I'd like proponents of each interpretation to explain what their interpretation says about this issue?
What happens/causes radio active decay?
I know that atleast dBB and MWI needs to have a deterministic answer to this...
I saw references on the web to periodicities in radioactive decay that are hypothesized to correspond to the varying levels of neutrinos emanating from the sun.
How do neutrinos affect radioactive decay?
Homework Statement
In a nuclear fusion reaciton 4 protons fuse together. The final result is a helium nucleus and a release of energy. The net reaction is 4p→⁴He+ energy. The mass of a helium nucleus is 6.64×10-27kg. How much energy is released each decay?
Homework Equations
Mass lost...
Ok, so all elements undergo radioactive decay. But why?
I have been snooping around and what i find is that radioactive decay occurs because of instability of the atom nucleus in quantity, proton-neutron ratio and energy content; therefore we have alpha, beta and gamma decay consecutively...
Homework Statement
I am supposed to calculate the original activity of a radioactive from the following data:
Total counts N
Measurement time t
Since the half-life is short compared to the measure time i can't just divide the counts with the time passed. I really have no clue on how...
Homework Statement
I have some data for "Activity(Bq * 10^4)" and "time". I have already found the half life and everything but I can't seem to see any sources of error in the data
Homework Equations
I need sources of error.
The Attempt at a Solution
I said, the half life matches the...
What does "Activity" mean in terms of radioactive decay?
I came across this term "activity" in text regarding radioactive decay and half lives. It is defined as "number of nuclei in a sample that decay within a given time."
That definition if fine but then when presented in a graph life...
Hi,
I was wondering whether the decay of the Pi-0 meson in QED to an electron positron pair can occur as follows:
Pi-0 -> virtual photon -> e+e-
or does it have to go via
Pi-0 -> two virtual photons -> e+e- (the Feynman diagram has a 'square' of virtual electrons/photons)?
I have...
Hello,
I'm trying to figure out if an atom undergoing alpha decay can knock out its orbital electrons. I was hoping someone might give me a hand coming up with a model to figure this out.
What I need to figure out is:
How far out does an alpha particle tunnel
can I use a classical...
Two 500μF capacitor are connected in parallel, and then to a 100kW (105W) resistor.
The capacitors are momentarily charged using a 1000V D.C. supply.
Find:
a) The time constant of the circuit.
b) The time “t” taken for the capacitor voltage to decay to 630 volts
c) The current in the...
Homework Statement
a) What is the energy of the neutrino, if a phosphorus-32 atom (31.97390
u) beta-decays into a sulphur-32 atom (31.97207 u), and the kinetic energy of the
accompanying electron is 0.90 MeV? (answer: 0.25 MeV)
b) A boron-12 atom (12.01435 u) beta-decays into a...
This is probably a dumb question, but a student asked me and I can't figure out the answer:
When a nucleus decays via beta decay, for example (in poorly formatted text):
55 Cs → 56 Ba + e− + ν
How is overall charge neutrality conserved? Clearly, the reaction appears to conserve...
This is really about challenging the understanding of "Time" in the physical sense.
I would like to test the hypothesis that time is merely the manifestation of particles in their interaction to one another. It seems that time may be meaningless (and non-existent) in a one-particle system...
How can I find the decay rate of carbon? I have found the decay constant and I know the half life and the number of atoms. I think I have the data and I have the answer but I think I am using the wrong equation as my answer does not fit the books.
The decay constant I got as -1.209x10^-4...
I know odd-odd nuclei are generally unstable against beta decay as the pairing term in the semi-empirical mass formula is less than zero, and I know even-even nuclei are generally stable, but I don't get the rules you apply for even-odd or odd-even nuclei. Do you have to work out the binding...
I've drawn up a simple system to help with my question.
Suppose we prepare an atom in an excited state (| 4 \rangle in the figure), and it can spontaneously decay to the ground state (| 1 \rangle ) through either of two intermediate states (| 2 \rangle or | 3 \rangle ).
Is the probability...
As I understand it, "nonradiative decay" of a system from an excited state to a lower-energy state is any type of decay that does not result in the emission of an electron.
I can't think of any way that a free atom could decay without emitting a photon. Molecules, yes, (through...
So... I know that decay occurs when the nucleus of an atom has an unstable proton-neutron configuration.
My question is, at the instant that decay occurs, what triggers it? Is it quantum mechanical in nature? If so, why are half lives so consistent?
I am looking for some data that identifies the most significant source of decay heat for the first few days from a reactor trip. Something similar for 1month after or more would be useful.
Thanks
Dave
We are studying nuclear physics right now and I don't quite understand the concept of binding energy. So, as I understand it binding energy is the work done to remove the nucleons which are bound together by the strong nuclear force. But then during radioactive decay, when you do the equations...
Homework Statement
How many half-lives must elapse until (a) 90% and (b) 99% of a radioactive sample of atoms has decayed?
Homework Equations
N=No(1/2)^(t/t1/2)
N=No(1/2)^(n)
The Attempt at a Solution
The part of the solution I don't understand is how to get the second...
2.3 \cdot 10^{10} atoms decay via alpha emission have a half-life of 150 min.
How many alpha particles are emitted between t=30 min and t=160 min?
\begin{flalign*}
150 &= \frac{\ln 2}{\lambda}\\
\lambda &= 0.046
\\
\\
K &= K_{0}e^{(-\lambda)(t)}\\
&= (2.3 \cdot 10^{10})e^{(-0.046)(30)}\\...
Hi everyone,
There's something that's kind of been bugging me about applying exponential decay formulas to real world phenomena. For example let's say the discharging of a parallel plate capacitor. Let's consider the negative plate. As it discharges excess electrons leave the plate. The...
Homework Statement
As you can see this decay is said to be possible
The Attempt at a Solution
but i don't get it because isn't charge conservation violated ?
omega minus --> Q=-1
Xi--> Q=0
negative pion -- > Q=-1/3
Homework Statement
Sorry charge conservation is not really part of the problem.
Question I'm stuck on is:
What is the process of decay for Be7 to Li7Homework Equations
Qb+=[M(Be)-M(Li)-2Me]c2
Qb-=[M(Be)-M(Li)]c2
Qe=[M(Be)-M(li)]c2-Bn
The Attempt at a Solution
I know that t is not beta minus...
I'm working on a problem involving decay of a 2 strange/2 anti-strange tetraquark particle.
4 sample decay diagrams are given and I am to describe them and choose which is most prevalent.
In on diagram, two of the strange/anti-strange quarks become two down/anti-down quarks via gluon through...
Measurements of a certain isotope tell you that the decay rate decreases from 8339 decays/minute to 3037 decays/minute over a period of 4.50 days. What is the half-life T_1/2 of this isotope in days?I know that i have to relate the ratio of decay rates to the ratio of undecayed nuclei present at...
Homework Statement
The technique known as potassium-argon dating is used to date old lava flows. The potassium isotope 40K has a 1.28 billion year half-life and is naturally present as very low levels. 40K decays by beta emission into 40Ar. Argon is a gas, and there is no argon in flowing...
Homework Statement
Why can't a 3.141 MeV photon decay spontaneously into an electron and positron, each with rest mass energy .511 MeV?Homework Equations
Conservation of Momentum and Energy
E=\sqrt{m^2c^4+p^2c^2}
E_\gamma=pc The Attempt at a Solution
3.141=\sqrt{(.511)^2+p^2c^2}...