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 am a chemical engineer and have little experience with complicated electrical properties. I was wondering if there was a way to calculate the rate at which the surface charge of a particle will dissipate when it comes in contact with an electrode of the opposite charge. For example a small...
Hi,
I have a question regarding the possibilities of analyzing the activity of Ra-226 in a sample from a collected spectrum with HPGe detector, by studying the peaks of Bi-214?
The most common energy peak for Ra-226 is the 186 keV with yield 3.6%, the difficulties of determining the...
Hello everybody, I am a first year and I have one more question.
To what degree do electron contribute to nuclear decay?
(Do electron which can 'spend' some time in the nucleus cause bigger decay?)
Thanks in advance :)
I’m going to post this here even though this question straddles Chemistry and Physics. I think I know the answer but I’d like confirmation.
Let's say I am measuring a property P that is decaying exponentially, but I am measuring it using two different test methods. Let’s call them method A...
Hello everybody, I am a first year physics student and I have a question about Nuclear Beta Minus Decay.
I was thinking the other day, about a beta decay. After the nucleus is formed, the new atoms state is a positive ion with charge +1.
If we think of the electron escaping from...
Hello everybody, I am a first year physics student and I have a question about the probability for 'heavy' nucleus to decay.
I was thinking the other day, how can we know the probability for that nucleus to decay. Let's suppose that we have an alpha decay. Is the probability of the nucleus...
For the decay chain N1 -> N2 -> N3 -> ... -> Ni -> ... -> Nd, how can I find the amount of particles of Ni, n(Ni), at any point in time t, with a single equation where i can vary from 1 to d? I have already seen WIkipedia's suggestion on the Bateman equations but that method seems to collapse...
I'm studying the \tau \rightarrow \rho \; \nu_{\tau} decay. I'm asked to calculate the decay width, using a parameterization of the matrix element of the hadronic current. I actually find a matrix element of the form:
\left<\rho |\; \bar{u} \gamma^{\mu} \left( 1-\gamma^{5} \right ) d \; |...
Im a uni student and a Phd student asked me in an alpha decay,
the helium nuclei is bounded by the strong nuclear force, how do the alpha particle overcome such a strong force and shoot out? And he told me it is because of quantum tunnelling.
To my understanding quantum tunnelling is an effect...
\pi^0s decay to two photons via the EM interaction. The J^{PC} of the pion is 0^{-+} and of a \gamma is 1^{--}.
\gamma\gamma therefore has J^{PC} = 0^{++}, 1^{-+}, 2^{++}.
This does not match the pion, so how can this decay occur?
A rabbit population satisfies the logistic equation dy/dt=2*10^-7y(10^6-y) where t is the time measured in months. The population is suddenly reduced to 40%of its steady state size by myxomatosis.
a) If the myxo' then has no effect how large is the population 8 months later?
b)How long will it...
the half life of C14 is 5730 years. if a sample of C14 has a mass of 20 micrograms at time t = 0, how much is left after 2000 years?
I learned from somewhere that these exponential decay and half life problems use the equation
y = ab^t or y = a(1+r)^t
where y = total, a = initial...
Decay Constant, as it says on my revision sheet is defined as 'The probability of a nucleus decaying per unit time'.
Does it mean that it can't be greater than 1? Otherwise, doesn't that imply that a nucleus is most certainly going to decay(greater than 100% chance within a certain period...
Homework Statement
The nuclide (32,15)P undergoes Beta - decay with a half-life of 14.3 d. It is used as a tracer isotope in biochemical analysis. What is the initial decay rate of a 1.2mg sample?
Homework Equations
T1/2 = Ln 2 / λ
Ro = λN0
The Attempt at a Solution
I first...
In β+ decay a proton releases a positron and an electron neutrino causing the proton to change into a neutron to help balance the nucleus. I am studying advanced PET imaging and trying find a better understanding of the positrons other half. Does it just go on being a normal electron.
Homework Statement
An old wooden tool, containing 75.0 grams of carbon, is found in an ancient tomb. The tool emits 500 electrons/minute from the beta decay of 146C. How old is the wood from which the tool was constructed? Given: The half-life of 146C is 5730 years, the ratio of 146C to 126C in...
The neutral phi meson decays to make two photons after around 8 x10-17 seconds
Is this just straight annihilation of the quark anti quark pair?
If it is this does it take this amount of time due the quark colour, as in do you need a red up and a red anti up for annihilation?
Or does this...
Homework Statement
What is the mass difference of the following process:
13N → 13C + e+ + veHomework Equations
Δm = m(A,Z) - m(A, Z-1) - m(e+)
Neutrino has negligible mass.
Z proton number
A = N + Z, where N is number of neutrons
The Attempt at a Solution
\begin{align}
\Delta m &= m(^{13}N)...
Homework Statement
Why is D*+(2010) → D+(1869)π0 allowed via the strong interaction but Ds*+(2110) → Ds+(1969)π0 forbidden.
The numbers in the brackets are masses in MeV.
Homework Equations
The Attempt at a Solution
My guess was that mass was not conserved, but if π0 is 135 MeV...
Any help is appreciated, thanks.
Homework Statement
In my course of differentials equations we were given the task to model a real life system with them, we choosed something that resembles a pendulum.Homework Equations
The Attempt at a Solution
We went to the lab and got experimental data from...
Homework Statement
\frac{\Gamma\left( D^{*+} \rightarrow D^{0}\pi^{+}\right)}{\Gamma\left( D^{*+} \rightarrow D^{+}\pi^{0}\right)} = ?
Homework Equations
D^{*+} = |c\bar{d}\rangle
D^{*0} = |c\bar{u}\rangle
see also Clebsch-Gordon coefficients
The Attempt at a Solution
I know...
I fully understand mathematically using differential equations and also using conservation of energy why current should decay in an RL circuit.
However , I cannot comprehend how this phenomenon can be explained purely based on induced voltages and currents. An intuitive understanding basically...
Radioactive decay of granite ---> How many years does it take?
Homework Statement
Radioactive decay of granite and other rocks in the Earth's interior provides sufficient energy to keep the interior molten, to heat lava and to provide warmth to hot springs. This is due to the average release...
Hi folks could someone please check my calculations contained in attached file?
thanks.
(incidentally, how can i create a link to such files in the future, weaving them into my text?)
Deus(has gone)
Homework Statement
A particle X with rest mass mx is traveling with speed vx = 0.8c along
the x-axis in the lab frame.
(a) Write down the four-vector momentum of the particle in the lab frame
in terms of vx and mx.
The particle decays to two particles, A and B, each with mass mx/4...
The radioisotope 40K decays either by electron capture (~10% of the time), releasing about 1.31 MeV, or by beta decay (90% of the time), releasing about 1.51 MeV. Thus the mean heat released is about 1.33 MeV per decay.
There are 1.5x10^25 40K atoms in 1 kilogram. Therefore the energy which...
Homework Statement
The amount (A) of cesium-137 remaining after t years is given by
A=A_{0}*2^{\frac{-t}{30.3}}
where A_{0} is the initial amount. In what year will the cesium-137 be 10% of that which was released at the Chernobyl disaster in 1986?
Homework Equations...
Homework Statement
The half life of a particular isotope is 10.84 days. Find the number of atoms of this isotope that would be necessary to produce a sample with an activity of 1.79 micro-Ci.
Homework Equations
R=N_{0} \lambda e^{-\lambda t}
where R is the decay rate
lambda is the decay...
Homework Statement
A nucleus N1 decays through beta decay to nucleus N2. The mass difference between N1 and N2 is ΔM. The differential decay rate may be written as:
dw=p(E_e)dE_e
p(E_e) \propto E_e (E_e^2-(m_ec^2))^{1/2}(\Delta Mc^2-E_e)((\Delta Mc^2-E_e)^2-(m_vc^2)^2)^{1/2}
where Ee is the...
Homework Statement
Consider a nucleus which is initially at rest and in an excited state with energy Ei. It then
decays to a lower energy state with energy Ef by emitting a gamma-ray photon.
Show that the energy of the photon is approximately given by
Eγ≈ΔE−(ΔE)^2/(2mc^2)
where ΔE = Ei - Ef...
Could someone please tell me what the symbols in the Zee.csv file mean on the CERN webpage (https://cms-docdb.cern.ch/cgi-bin/PublicDocDB/ShowDocument?docid=11581)? I am doing a project for my statistics class and that information would be useful. I'll appreciate any and all help.
Homework Statement
A lambda particle decays into a proton (at rest) and a pion. The rest masses are:
lambda: 1116 MeV/c^2
pion: 140 MeV/c^2
proton: 938 MeV/c^2
we want to find the energy of the
a) pion
b) lambda (before decay)
Homework Equations
I am assuming we need to use the...
I've been reading some books on how neutral pion decay proceeds through chiral anomaly recently. What I found wired is people always use the matrix element of the axial current between vacuum and a pion as granted, saying the matrix element should be a vector and the pion momentum is the only...
Hello to all, i need more details about followings problems:
Why nuclear spent fuel ponds must be cooling down and which is maximum allowable temperature in cooling agent?
How we can evaluate decay power using theoretical formula?
Homework Statement
A nuclei of a atomic number Z decays into a alpha particle (a He nucleus with Z =2) and a daughter nucleus with (Z_{d}).
The decay may be described as the tunneling of an alpha-particle through a barrier caused by the Coulomb potential between the daughter and the...
Homework Statement
A body is found at 2:00pm at a temperature of 26°C, with a surrounding temperature of 18°C.
Two hours later the temperature of the body is 21°C, when did the body die?
T=Ae^(kt)+Ts
where T is the temperature of the body
A is the initial temperature
k is a constant
t...
This isn't a direct question and answer problem, it relates to an essay I am doing.
I am a bit confused on the equations given by my tutor for radioactive decay, I suspect there is a mix up of symbols used where two symbols are used for the same think (such as N and R for the normal force).
On...
what are standards model limits on decay of K0, Do, B0 meson into a pair of neutrino and anti neutrino. I know that these highly suppressed due to involve FCNC. but if someone can tell me about theoretical limits on these reactions.
Radioactive Decay Probability?
Say you are counting the number of decays and the time of observation is varied. I know that as time increases, the Gaussian Distribution becomes a closer fit to the observed probability than when the time interval takes smaller values because the mean count...
I was reading an article and it said that eventually, when you get silicon transistors to a certain size, they won't be able to operate anymore and will end up melting. I have always wondered the following... what is the point of trying to make transistors smaller when we can just make the...
Hi, I'm confused about a statement about the change in final/initial states of the daughter/parent atom in an alpha decay. It is the following;
"The spin between the parent (I_i) and daughter (I_f) can change by lh (h being h-bar, l is the orbital angular quantum number of the alpha particle)...
I'm not a physics person (did not take it in high school), but I was wondering why the speed of light is the constant (in relativity) and not the half life of an electron or positron.
The name of a good introductory book to physics would be good too.
Thanks in advance.
I ask this because I've heard repeatedly that all the equations in current physics models are reversible in time, save the second law of thermodynamics. But does this mean the process of radioactive decay is also reversible in time?
Homework Statement
A nucleus contains Z protons that on average are uniformly distributed throughout a tiny sphere of radiues R.
Suppose that in an accelerator experiment a positive pion is produced at rest at the center of a nucleus containing Z protons. The pion decays into a positive muon...
I would like to hear opinions on the variation in decay rates as described by Fischbach and coworkers and how (if at all) this will affect radioemtric dating. Does this phenomenon indeed exist or is it the result of errors in experimental technique?