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.
Okay, this is a really simple question, so to anyone looking for some extraordinarily complex differential equation question turn away now, or be blinded by boredom.
My query is rooted in a question I had about building a water clock... so seemingly relevant to Differentials, I know...
What are the thoughts about using a magnetic sail propelled by a powerful alpha emitter (e.g. polonium)? Imagine a 1kg sphere of polonium radiating alpha particles in all directions. Attached to the sphere, via boon, is a powerful magnetic field emitter that would repulse or even deflect forward...
Homework Statement
The radioactive decay of a substance is proportional to the present amount of substance at any time t. If there was 15 grams at t=0 hours and 10 grams at t=3 hours. Set up the differential equation that models this decay and use the method of separation of variables to solve...
Homework Statement
Radioactive decay is:
N = N0e-λt
N can also be used to describe count rate after a time, (t) where N0 is intial count rate and λ is decay constant...
Half life, t1/2 od radioactive isotope is
t1/2 = 1n2
λ
The λ should be under the ln2 but it won't let...
Homework Statement
A radioactive sample contains 2.25g of an isotope with a half-life of 3.8 days.
How much of the isotope in grams will remain after 11.0 days?
Homework Equations
The Attempt at a Solution
Hi! I've just started college this semester. I'm taking Introductory Chemistry. Right...
Homework Statement
Explain why deuterium cannot undergo beta decay or produce a stable nucleus, while tritium can.
Homework Equations
n/a
The Attempt at a Solution
There was nothing in the lesson that really explained this, and the only reason I can find online is because deuterium...
Which of the following should occur at a greater rate: D0 to K(-) + (pi)(+) OR D0 to K(-) + positron + electron-flavor neutrino?
I know that there are other decays that are Cabibbo supressed (or doubly so) but I can't see what would make one of these more likely than the other.
Thanks
Can the rho(0) meson decay to a pion(0)+gamma ray? If so, which, between this decay and the decay to pion(+) + pion(-) dominates? I know decay modes will dominate as a result of the relative strength of fundamental forces involved, so what are the forces and their relative strengths in this...
why is that particles such as the tau muon have a short lifespan and why is it that particles decay into other partcles? furthermore, what are the process that occur in particle decay?
Homework Statement
The initial amount of radioactive atoms on a sample of 24Na is 10^10. It's half-life corresponds to 15 hours. Give the amount of 24Na atoms that will disintegrate in 1 day.Homework Equations
I started to solve it using the formula N=Initial Amount of Atoms /...
Hi.
After Beta minus decay does the atom gain a charge and become an ion?
I.e after a neutron become a proton and electron does the atom become positively charged because it has more protons than electrons?
Or does it capture an electron from somewhere else?
Thanks
Here is Abby's question:
Here is a link to the original question:
Differential Equations time constant problem? - Yahoo! Answers
I have posted a link there to this topic so the OP can find my response.
I've just been really thrown off by what this problem is asking me.
Given:
The decay of a radioactive material may be modeled by assuming that the amount A(t) of material present (in grams) at time t (minutes) decays at a rate proportional to the amount present, that is dA/dt= -kA for some...
On decays I have only a preliminary understanding. I was looking up the half life of a neutron for another reason.
The value I found for neutron decay for a free neutron was 10.3 seconds. Hope that's reasonably accurate.
Anyways knowing that neutrons are stable in a nucleus held together...
Hi,
I am reading in some books that after the \beta-decay of neutrons, the maximum energy of the resulting electron is a bit less than 800 keV. In some cases, however, I see that in e.g. some studies that try to extract the electron energy from \beta-decay of neutrons with some Monte Carlo...
Homework Statement
In the rare decay ∏+ → e+ + ve , what is the momentum of the positron (e+)? Assume the ∏+ decays from rest. (m∏+ = 139.6 MeV/c^2, mv ≈ 0, me = 0.511 MeV/c^2)
Homework Equations
Conservation of Energy: E∏ = Ee + Ev
Conservation of momentum: p∏ = pe + pv...
Provided they aren't in an excited state (which would allow a decay via EM or strong). I had a question asking why the neutral lambda particle, consisting of uds quarks, has a lifetime characteristic of the weak. The answer being that it must decay via the weak to change the s-quark flavour into...
Ive searched in vain for a listing of what particles with which interactions decay into which particles. This is a subject I know very little on so any starting direction would be greatly appreciated
(high school level physics btw)
apparently all baryons eventually decay into protons, so I was just curious to know if this was also true of anti-baryons?
Homework Statement
A ##\pi^0## at rest decays into two photons, one traveling in the +z direction and the other in the –z direction. What is the angle between the photons in a reference frame moving at speed v=0.99c along the x-axis?
Homework Equations
The Attempt at a Solution...
If time itself slows down near the speed of light, why don't they prove this by sending a particle which decays over a short period of time around the LHC and see if it decays at the same rate as a particle not moving around the LHC?
Would this not prove that time really does slow down and...
I just came across the following Quote in an introductory Quantum physics book"There are certain experiments in which behave differently in their mirror image form, this is called the Parity Violation in." Can anybody explain in detail what parity violation is and what mathematical description...
I have two sources, one (school textbook) is telling me that ''all hadrons eventually decay into a proton'', whereas a few other people have told me that ''only bayrons decay into protons''. I want to know because I originally wanted to find out whether mesons decay into protons, and mesons...
For β- minus decay
Q = m_x - m_y
Whereas for β+
Q = m_x - m_y - 2m_e
Where the masses are atomic masses, x and y are the parent/daughter.
The SEMF can be used to find a parabolic curve showing the mass excesses for an A isobar for particular values of Z, and thus show at which Z the atom...
Homework Statement
I am asked to draw a feynman diagram of K^- \rightarrow \mu \nu Homework Equations
K^- consist of s\bar{u}
The Attempt at a Solution
I wonder what the direcion of the arrows should be, my guess is something like the attached image.
edit: Ah, where the left u shoudl be an...
Homework Statement
Halzen & Martin, problem 2.25
Homework Equations
The ρ and ω wavefunctions are u\overline{u}-d\overline{d} and u\overline{u}+d\overline{d} except for a normalization factor.
The Attempt at a Solution
In this problem one has to evaluate the expectation value...
Homework Statement
A sample of thorium-226 is stored in a lead box. Thorium-226 undergoes alpha decay. The lead box has a small opening on the left side to allow a stream of alpha particles to escape.
In the sample a nucleus of thorium-226 is at rest when it undergoes alpha decay. The daughter...
Homework Statement
1)The pion is an unstable subatomic particle whose characteristic decay time in its own frame is 26ns. A beam of such particles emerges from a source at point X in the laboratory traveling with speed ##v = \sqrt{3}/2\, c## in the laboratory frame. Determine i) the decay...
Particle can decay through many channels with probabilities p_i, where in each channel its decay time is different \tau_i. It always decays through one of the channels.
Particle decays according to exponential law where probability to decay in time t is...
Homework Statement
The isotope 239Pu has a half-life of 24,100 years. After 10,000 years, a sample of the isotope is reduced 1.6 grams. What was the intial size of the same (in grams)? How large was the sample after the first 1,000 years. Round your answer to four decimal places.Homework...
Determining the atomic number, mass number, and chemical name during beta decay!
Homework Statement
The image below shows the element Thorium with the atomic number listed above and a mass number of 233. This element undergoes two successive beta decays. The resulting nucleus will have an...
Hi all,
I'm studying Laplace transform right now. And I am trying to understand the s variable in the s-plane. I found online that s = σ + jω where ω is the frequency and σ is the decay rate. Frequency is pretty easy to understand but I can't seem to find anywhere that explains what is the...
Homework Statement
consider a pion decaying into 2 photons.
In the rest frame of the pion, the two photons must emerge back-to-back photons are equally likely to emerge in any direction.
determine the rest frame angular distribution of the emerging photons.
Homework Equations
ΔP=f(θ)Δθ is...
Homework Statement
Given the Lagrangian
\mathcal{L}=\frac{1}{2} ( \partial_{\mu} \Phi)^2-\frac{1}{2}M^2 \Phi ^2 + \frac{1}{2} ( \partial_{\mu} \phi)^2-\frac{1}{2}M^2 \phi ^2-\mu \Phi \phi \phi,
[The last term, the interaction term allows a \Phi particle to decay into 2 \phi particles...
Homework Statement
Radioactive nuclei A are produced at a rate R per second in a nuclear reactor. They decay with probability λ per second.
(Qu 1-2 involving deriving the rate of change and number particles at any given time, I've done this).
3) Show the activity tends to R, a constant, as...
I'm studying the decay K->ππ and I have some doubts on the isospin decomposition. We know that the state (\pi\pi) can have total isospin 0 or 2. Now, if we remember that in the isospin representation we have |\pi^+\langle=|1,1\langle, |\pi^0\rangle=|1,0\rangle and |\pi^-\rangle=|1,-1\rangle...
Hi
I have been looking into particle physics and i came across this question but i can not find the answer,
the quetsion is as follows:
the xi particle decays into the following
\Xi -> \wedge + \Pi^{-}
dds -> sud + \overline{u}d
the quark numbers are conserved but the...
BBC News reported this
http://www.bbc.co.uk/news/science-environment-20300100
Here's the actual paper
https://cdsweb.cern.ch/record/1493302/files/PAPER-2012-043.pdf
What does this actually mean for Susy etc?
Homework Statement
A meteor contains 2.45kg of plutonium-239. It has a half-life of 24065 years. Calculate:
a) The number of plutonium molecules currently present in the meteor (at. mass = 239.052)
b) How long ago the meteor struck the Earth if originally it contained 10kg of plutonium...
Homework Statement
2. A meteor contains 6kg of molybdenum-93. Calculate:
a) The number of molybdenum molecules currently present in the meteor.
b) How long ago the meteor struck the Earth if the original amount contained 20kg of molybdenum.Homework Equations
Answers:
2. a) 3.884x1022...
Hi all,
I have a question regarding to the branching ratio of neutral D-meson decay.
Give three decays:
1. D --> negative kaon + positive pion
2. D --> positive pion + negative pion
3. D --> positive kaon + negative pion
The one with highest branching ratio is 1. due to its non-cross...
I'm currently studying the pion leptonic decay and I'm getting a bit confused about some factors. Firstly, le correct lagrangian that describe the pion decay \pi^+\rightarrow l^+ + \nu_l is:
$$L=\frac{4G_F}{\sqrt{2}}V_{ud}^* \bar{d}_L\gamma^\mu u_L \bar{\nu}_L \gamma_\mu l_L$$
We can't...
Homework Statement
Two unstable isotopes A and B and a stable isotope C have the following decay rates per atom present:
Let rate = k,
A > B, k=k1=3 atoms/sec
A > C, k=k2=1 atom/sec
B > C, k=k3=2 atoms/sec
Intially, there are N0 atoms of species A present, but none of other two types...
TA sample of 24Na has a half-life of 234 hours, How much time elapses before a 5μg sample contains 1μg of undecayed atoms?
I have calculate the decay constant (8.23x10-7)
What do I do now?
Homework Statement
Cosmic muons are produced when protons in cosmic rays hit the atmosphere about 10km above us. How fast do muons have to travel in order to reach the Earth before decaying if they live 2.2μs before decaying? Consider the analysis for the rest frame of a) the Earth and b) the...
Hi guys, essentially I have been talking with my Physics teacher about Beta Decay and she was saying that sometimes electrons come from the nucleus because of the quarks in the protons and the neutrons? I didn't fully understand it so I have likely got it wrong what she was trying to explain. Do...
I've been looking at some sections in GR textbooks that deal with the orbital decay of the binary pulsar PSR B1913+16 (Straumann's General Relativity: With Applications to Astrophysics and Padmanabhan's Gravitation have some pretty good sections on this) , and I noticed something strange to do...
I've been trying to get reantiquated with electormagnetics to understand RF communications better. I have a question about TEM plane waves. The funtions which describe the plane waves in the z dirrection are:
e-α cos(ωt-βz) ; in the time domain
where is the rate of decay.
In free...