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.
Looking at, say, the decay K^+ \to \pi^+ + \pi^+ + \pi^- + \gamma, is it easy to say what the Feynman diagram is of highest contribution? I suppose it is not unique, but say we're satisfied with just one of highest order. Is there as it were a sort of flowchart one follows? For example, since...
Homework Statement
Are the following reactions possible? If yes, explain why and how the reaction occurs. If no, explain why.
...
\Delta^+ \to p^+ + \pi^0"Homework Equations
NA
The Attempt at a Solution
First of all, it wouldn't break any conservation law, hence it is possible (or is this...
Hello
I am reading Young, Freedman's University physics and I have some questions about the
sign conventions followed in getting the equations for the current decay in the R-L circuit.
I have attached two snapshots which will help the discussions. Consider the series R-L circuit
as shown...
For example, when a radioactive isotope of Uranium undergoes alpha decay, a radioactive isotope of Thorium is formed. Why isn't this daughter isotope charged?
Homework Statement
The edge of a nucleus can be roughly modeled as a square potential barrier. An alpha particle in an unstable nucleus can be modeled as a particle with a specific energy, bouncing back and forth between these square potential barrier.
Consider a nucleus of radius r and an...
Does anyone know of any worked out examples for the calculation of the width of a 1->3 decay process, where ALL THREE masses are included?
I can find a LOT of examples where they let the masses go to zero, (like leptonic/semi leptonic decays, decays to pions, etc). This makes the integrals...
So my question has a few parts to it.
First, if an atom is decaying and the proton (Z) number is decreasing in the decay process, am I correct in assuming that the nucleus is either decaying by electron capture of beta plus emission?
Secondly, I understand that beta plus emission can only...
Why does β+ decay occur?
If protons are stable and all baryons eventually decay to protons, then how is it that protons can 'decay' to a neutron?
What causes this to happen?
(I assume it isn't as frequent as β- decay, or up and down quarks would be coming and going constantly, and we'd be...
Homework Statement
The pion-zero meson has its mass quoted as 135.0MeV/c2.
It decays into two gamma rays:
∏0 → γ + γ
b) Assuming the ∏0meson to be initially at rest, calculate the energy and hence the wavelength of the two gamma rays.
Homework Equations
E= hc/λ
The Attempt at a...
Homework Statement
Mass M traveling at v=c/3 decays into 2 photons in x and -x directions.
Mass M orginally formed by mass m traveling at v=3c/5 hitting a stationary mass m.
This gives M v=c/3 and M=3m/√2.
Homework Equations
E=K + mc^2
p = gamma m v
E = gamma m c^2
K =...
Nuclear Decay question without knowing N0 or N ??
Homework Statement
Ok so what I have an Am sample which emits alpha particles at a rate of 70Bq in 1997 and asks for the activity 8 years later (the half life of Am being 432.2 years) I found this to be 69.108 Bq, first of all does this sound...
While reading an older article by Schrodinger on Causality a question occurred to me about the nature of energy/time characteristics of light emitted by electron orbital decay.
I have been thinking for some time on the relationship/contrasts between generation of lower frequency (ie radio)...
Homework Statement
Show that the Lorentz gamma factor in the decay
K^+ \rightarrow l^+ \nu_l
can be written as
\gamma = \frac{m_K^2 + m_l^2}{2m_K m_l}
where nu is either e or mu.
The Attempt at a Solution
I'm stuck on a part of the proof. I think I understand most of it...
A proton collides with a nucleus of nitrogen-14 (atomic number 7). This collision produces a nucleus of carbon-11 (atomic number 6) and what else?
My attempt:
14/7N + proton -----> 11/6C + alpha particle?
I know it cannot be gamma decay, but I'm not sure if it's alpha or beta decay and what...
[b]1. Astatine-210 decays through a beta-plus decay process. Use the table in section 29-8 (see the link above) to find the relevant masses for this decay, and calculate the energy (in MeV) released by the decay of one such atom. You can neglect the mass of the neutrino that is one of the decay...
I don't have much of a scientific background, but I am interested in learning about geology. More specifically I would like to study the nature of igneous rocks, particularly their formation through volcanic processes. I'm also very much interested in understanding how the process of...
Homework Statement
Draw the lowest-order Feynman diagram for the decay: K^+ \rightarrow l^+\nu_l
Homework Equations
Kaon structure is given as u\bar{s}
The Attempt at a Solution
So I know that you can get a lepton and an associated neutrino from a W decay, where the strange...
According to my textbook, the decay constant is the probability that a radionuclide will decay in any second (hence the unit s^-1) and so the total number of radionuclides decaying at any second, i.e. the activity, is λN but this is also the rate of change of N thus
dN/dt = -λN
Surely...
Homework Statement
The radioactive substance emits gamma radiation. Complete the equation below for the disintegration of the nuclei of this substance.
Homework Equations
^{24}_{11}Na^{*} \rightarrow ^{?}_{?}Na + ?
The Attempt at a Solution
^{24}_{11}Na^{*} \rightarrow...
Is it possible, in theory, that a radioisotope undergoing nuclear decay (eg. alpha particle emission) can be modeled so as to determine the origin and/or direction of the emitted particle? For instance, perhaps one could model nucleon interactions deterministically and observe that when the...
Homework Statement
This question actually comes from my chemistry class, but I believe it is more suited for this forum.
When the process of Electron Capture occurs, proton + e --> n, an x-ray is emitted. Why is that x-ray emitted and not a photon of lower energy.
Homework Equations
No...
I was working on calibrating some newly purchased software onto our lab computers when I noticed that the decay spectrum on the screen did not look exactly as it does on published material. I attribute this to background radiation effects (correct me if I am wrong please), so I decided the best...
Homework Statement
This problem involves calculating the age of plant material from which 3 radioactive disintergrations per minute per gram of carbon are detected. During its lifetime, the plant took in carbon from the atmosphere. Of this carbon, for every 1012 atoms of normal 14C, there was...
Homework Statement
Homework Equations
N=N0e-λt
The Attempt at a Solution
I can do all of part (a) but I'm stuck on part (b).
I don't even know where to begin. I just have no idea what to make of this question.
Could someone prod me in the right direction ?
Hello,
my question is :
C60 ---> Ni60+e-+anti-neutrino
why does Co60 decay to an excited state of Ni60 and not directly to its ground state?
and why does the Ni emite two photons (first transition from the second excited state to the first excited state and from the first excited state to...
Hello everybody, I'm assigned to do particle physics home, which I don't really understant because I'm a freshman and I have choosen it as a free subject. Obviously, that was a mistake. I have been reading a book, but I'm not sure if I understand everything.
Homework Statement
A particle of...
Note: I'm only talking about real photons, no virtual particles.
The argument that Griffiths gives, is (p79)
and although I have respect for Griffiths, I'm wondering if this isn't a fallacious argument: the photon might not have mass, but it has energy...
Another argument might be (I'm...
Hello,
The Feynman graph of muon decay is
and I asked my professor if we could also write
and he said no, because then out of nothingness an electron and an (anti)electron-neutrino would appear and send out a boson to the muon.
However, I was not very convinced, so I wanted to double...
If a particle decays via A →B + C, and A had some initial non-zero momentum, is it possible for either B or C to be stationary? I can't seem to find a restriction on this from energy conservation or momentum conservation.
From energy conservation, the stationary particle B still contributes...
Homework Statement
I have a question in my coursework where I don't know where to start. I've got Nickel decaying post the explosion, I've got a time t, I've got an energy release per nucleus of Nickel, I've got a decay constant, I've got a light curve decay half life, and I've got a...
How can I efficiently calculate the amount of material decayed after a specific time in a two-step decay chain?
In my specific example, I have 56Ni -> 56Co -> 56Fe. The half life of the first process is 6.1 days, the second - 77.7 days. How can I accurately calculate the amount of 56Fe that...
Hello ,
Homework Statement
I'm supposed to find restrictions for the spin and parity of the Kaon from the the following decay : K^0 \rightarrow \pi^0 \pi^0
Homework Equations
The only thing I know is that \pi^0 spin-parity is 0^- The Attempt at a Solution
I said that the spin of the...
"Neutrons don't decay in nuclei because no available states" incorrect?
Hello,
If I understand correctly, the argument for a neutron (usually) not decaying when in a nucleus, is that the resulting proton would then have to occupy a high energy level, the lower levels already being occupied...
Hello,
I'm taking a particle physics class and we're using Griffiths' book "Introduction to Elementary Particles". I was reading in it but two statements in it (on the same page, for reference p33 in the second edition) struck me as weird, and as I would greatly appreciate if anyone could...
Hey guys, back again for some help if that's okay!
I've derived a formula for an electromagnetic wave entering a material, as \underline{E}e^{-\frac{x}{\delta}}e^{i(\frac{x}{\delta}- \omega t)}
x=direction of propagation
t=time
\delta=skin depth
As you can see this describes the wave...
Does anyone know why the $$\rho^0\to\pi^0\gamma$$ decay is suppressed? I've been working on it, and so far I think it can conserve parity, charge conjugation, angular momentum, etc. But the PDG indicates that it basically never happens. Why?
Thanks!
I am reading Mukhanov's 'Physical Foundations of Cosmology'. He claims that in the minimal SU(5) model, CP violation of a heavy SU(5) gauge boson X decay arises at the tenth order of perturbation theory.
Is that correct? The tenth order perturbation theory would lead to a very complicated...
I am trying to revise for PhD, going over MSc work. Could anyone help me with this question?
Homework Statement
A pion traveling at speed β(=v/c) decays into a muon and a neutrino, π→μ + \nu. If the neutrino emerges at 90° to the original pion direction at what angle does the muon come off...
I am not quite sure why there are only four types of decays, alpha, beta plus and minus, and electron capture.
I know that heavy nuclides undergo alpha decay because it is a fast way to loose 2 protons and 2 neutrons, also that the alpha particle is very stable.
For beta plus and minus...
Question: find the rate of change of (s) with respect to time(t), is inversely proportional to the square root of (s)
Write a differential equation for this statement.
Find the general solution to this equation
If initially (s)= 100, and after six seconds (s)= 144, what is the value of...
Homework Statement
Consider positronium decay. Show the magnitude of the momentum for each gamma ray is m_0c where m_0 is the mass of the electron.
Homework Equations
E=\sqrt{p^2c^2+m^2c^4}, p=h\nu/v
The Attempt at a Solution
I'm not sure how to start this one, though I...
Homework Statement
An energetic muon is created by the interaction of a cosmic ray 20 km away from the surface of the earth. How energetic does the muon have to be to be detected on Earth before it decays with a 10% probability?
For a single muon, what is the probability that it will not...
Homework Statement
I was looking at
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elesht.html
(scroll down a little on the link)
Homework Equations
The Attempt at a Solution
Would it be correct to say that the decay in the electric field between the plates is...
I don't understand where radioactive decay comes from. Everything I've read discusses how the environment can influence the decay (for example, neutrons in different nuclei decay with different speeds), but I couldn't find an explanation of what is the underlying cause of the decay. If the...
When electron capture and β+ decay occur in proton-rich nuclide, in order to obtain a lower E state, is the lower E state of the atom reached by 1 electron capture of the same energy as the state reached due to one β+ decay?
- I ask because I know that in order for EC or B+ to occur, the...
Homework Statement
Given the followin[Sg decay chain- X→Y→Z
Solve for Nx(t), Ny(t), Nz(t) for the case of Rx(t)=\alphat and assuming Ny(t)=Nz(t)=0
Homework Equations
dNx(t)/dt = -\lambdaxNx(t) + Rx(t)
dNy(t)/dt = -\lambdayNy(t) +\lambdaxNx(t)
dNz(t)/dt = -\lambdazNz(t) +\lambdayNy(t)
The...
(original question) Does the electric charge of an isolated block of radioactive material increase, assume that all emissions are reabsorbed?
Subsequent edit: I guess if the body were isolated and emissions escaped the body, a charge would build up until the capacitance of the body is...