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.
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In my understanding, decay of quarks should give leptons of the same generation as the quark has, like in a basic way, neutron decaying into proton and an electron. Because of this I have trouble understanding why the strange quark turns directy into up quark, an electron and an electron...
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I have a question regarding decay of matter. Let's say I have a block of lead. Now imagine I sit it in a vacuum - given infinite time. What will happen to it - will it ever degrade or change. In another way does matter last forever?
Also what is the correct physics term for what I am...
Fluorine ions are negatively charged, and help prevent tooth decay by forming fluoraptite when substituting the lost hydroxide ions in the tooth enamel. Since they are both negative, it is successfully substituted. However, it was told that acid on the tooth causes that decay. My question is...
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I had a question about a particle (say a proton) with relativistic energies interacts with a magnetic field (in the z direction). As it is accelerates the particle emits synchrotron radiation. Naturally I assume that this emission of photons reduces the particle's energy. My...
I am trying to solve the following problem for my graduate course in isotope geochemistry. If 1 g of 226Ra is separated from its decay products and then placed in a vessel, how much helium (cm3) will accumulate in the vessel in 60 days?
Here is what I know. The decay series from 226Ra to Lead...
Homework Statement
Are the number of electrons on both sides of the radioactive decay balanced?
Homework Equations
For example, consider an alpha decay.
ZPA → Z-2DA-4 + 2He4
For P,
Number of Neutrons = A - Z
Number of Protons = Z
Number of Electrons = Z
For D,
Number of Neutrons = [A - 4] - [Z...
The problem statement
The Cobalt-60 isotope is often used in medicine. It has a half-life of 5.25 years.
a) What is the activity of 1μg Cobalt in Bq (decays/second)?
b) You find a sample of Cobalt that has a mass of 10 µg and has an activity of 5.0MBq. How old is that sample?
This problem was...
Homework Statement
A Phosphorous 34 decays and emits a particle. A JJ Thomson experiment is done to find out the charge to mass ratio of this particle. The particle moves undeflected through mutually perpendicular magnetic and electric fields of 2.00 x 10-3 T and 1.08 x 104 N/C, respectively...
Also, How do we know the radioactive decay is constant? I know that carbon dating cannot be 100% accurate because the rate of production fluctuates based on cosmic rays hitting our upper atmosphere. Why isn't this true with Earth metal isotopes?
Is time truly constant? It seems like a lot...
Homework Statement
What's up guys, I'm stuck on #2 of this worksheet,http://luc.edu/faculty/dslavsk/courses/phys111/homework/phys111-2015hw1.pdf
The half - life of C - 14 is 5730 years. Determine the value of its decay constant (and express the answer in appropriate MKS units).
2.The attempt...
Homework Statement
A Helium 5 at rest decays into Helium 4 and a neutron.
Mass of Helium 4 = 6.648 x 10^-27
Mass of Neutron = 1.67493 x 10^-27
Helium 4 has a momentum of 1.903 x10^-20 and Ek 2.723x10^-14Homework Equations
E=mc^2
v= square root of (E2/m)
The Attempt at a Solution
I have found...
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I know that the gravitational force is the weakest of all forces (it is 10^-38 times weaker than the strong force), so it isn't possible a particle to decay through gravitational interaction. As far as I know, the strength of fundamental forces can change during different ages of the...
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Let's say I have an ideal cylindrical pool (rigid, vertical walls) of diameter d, with water of depth h. Take the ratio of d:h to be around 5:1 - 10:1. If I press down on the surface with a plunger of width w, I cause a standing wave resembling a single-node Bessel function, like a...
What is so unstable about one particle that it only lasts a billionth of a second? Opposed to another particle that lasts much longer. What is so different between the two and why are there "timers" set when these particles created?
I'm trying to calculate the SU(5) model's prediction for the lower limit of a proton decay lifetime, for the channel p \rightarrow \pi^{0} e^{+}. I'm following this paper:
arXiv:hep-ph/0504276v1
It contains the following equation:
As far as I can tell this actually contains a prediction...
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i was reading the article of Cristenson,Cronin,Fitch and Turlay of 1964, the one that discovered CP violation in the system of neutral K mesons. There is one point in it that i don't get it. They say "the angle should be zero for two body decay and is, in general, different from...
I have some confusion over some diagrams involved in proton decays in SU(5). I've seen a few like this that look weird to me. Here is one I found where the colored Higgs triplet does the job:
Straight away I don't know what to make of this because I've only ever seen diagrams where fermions are...
I'm trying to understand how the SU(5) prediction for the proton decay lifetime of \tau_{p} \sim10^{31} yr has been arrived at. I keep seeing it stated that \tau_{p} \sim \frac{4\pi}{g_{5}^{2}} \frac{M_{X}^{4}}{M_{p}^{5}} where g_{5} is the SU(5) coupling and M_{X,p} are the X boson and proton...
http://arxiv.org/abs/1507.05760
Higgs boson cosmology
Ian G. Moss
(Submitted on 21 Jul 2015)
The discovery of the Standard Model Higgs boson opens up a range of speculative cosmological scenarios, from the formation of structure in the early universe immediately after the big bang, to relics...
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Ok, so we have the isotope Nickel-58 which can decay (still theoritically) to Iron-58 through double beta decay plus (bb+), my question is... imagine this decay is actually demonstrated (just figure it), so the transmutation into the iron isotope actually works... would the ejected...
Hi all,
Hopefully this is the right subforum. I have a question related to Arduino sensors.
Q:Generally, when do you need to be worried about losing data from having long wires from your sensor to your Arduino board?
Details:For example, I've been looking at two sensors.
Sensor 1: MLX90614...
The neutral pion is dominantly decaying to 2 photons via electromagnetic interaction \pi^0 \rightarrow 2 \gamma.
However if one allows for P-violation in electromagnetic interactions, he will also get C violation (due to CPT theorem). In that case a decay of the form \pi^0 \rightarrow 3 \gamma...
My background of some introductory courses in particle physics has left me with severe shortcomings.
Say we start from a hadron, which decays purely to other hadrons. My question is this: through which interaction does the process take place? Is there a preferred interaction, and why/why not...
Homework Statement
An unstable ion of mass ##M##, energy ##E## emits a massless particle of energy ##E_\nu## at angle ##\theta##. In the rest frame of the ion, find ##E_\nu^*## and ##cos \theta^*##.
Ions are now accelerated to ##\gamma=100## and a detector with radius ##r=20m## is placed...
Hi all,
I'm attempting to write something on proton decay (specifically in the p \rightarrow K^{+} \nu channel) and need to understand some theory that predicts it. I'm under the impression that the MSSM is the most straightforward theory. However, I look through introductory texts/documents...
Homework Statement
I am trying to solve problem 5.4(a) in Peskin & Schroeder. I am requested to calculate the decay rate of a ##1S_0## positronium state into two photons. Obviously, we have to sum over all photon polarizations eventually to get the total decay rate. However, I do not understand...
Hi,
I'm looking for the momentum so that the decay length of a tau (mean lifetime ##t_{lft}=2.9 \times 10^{-13}s##) can be ##2mm##.
I was wondering whether someone can use the formula I got:
l_{lab}= t_{lab} u = \gamma u t_{lft} \Rightarrow pc= m \gamma u = m \frac{l_{lab}}{t_{lft}}?
(Looking...
Homework Statement
An initially pure 3.4 g sample of Ga-67, an isotope with a half life of 78 hr.
What is its initial decay rate?
Note: Molar Mass values given in tables for chemical elements are for natural mix isotopic ratios. (i.e. the relative percentages of each isotope normally present...
Homework Statement
1) Calculate the Q-value for the electron emission beta decay of Co-60 *
2) Calculate the Q-value for the positron emission beta decay of Mg-23 *
* (both correct to 6 significant figures)
Atomic Masses (u)
electron = 0.0005485803
Co-60 = 59.9338222
Ni-60 = 59.9307906...
Homework Statement
A beam of pion mesons travels down a tube at the CERN accelerator moving at v/c=0.95 with respect to the laboratory.
(i) Compute the γ factor for these pions.
(ii) The pion lifetime is 2.6 × 10−8 s, what is the lifetime measured at the laboratory?
(iii) The pions travel 50...
Homework Statement
Homework Equations
Please see below.
The Attempt at a Solution
I'm pretty sure my method is correct but I'm getting small answers:
$$
COM \\ \\
E_{6}= E_{2}+E_{\alpha}
\\
\\
Minus \ E_{2} \ and \ square \ both\ sides\\
\\
E_{6}^{2}+E_{2}^{2}-2E_{2}E_{6}=E_{\alpha}^{2}\\...
Take some unstable particle species, and put two of them into an exotic atom or exotic molecule, such that the two bound particles fully occupy a 1s orbital. For example, two negative muons orbiting an alpha particle, or two mesons orbiting a massive baryon. Decay of either orbiting particle...
Hi there, my question is along the lines of the following.
I understand that in an experiment we obtain a distribution of masses for a given particle, due to the finite resolution of the detectors.
In terms of a fundamental (if that even makes sense) decay width, what is the decay width?
Is it...
Hi all,
Fermi introduced a multiplicative correction factor in order to correct for the effect of the Coulomb field on the resulting energy distribution of ejected beta particles (i.e., either electrons or positrons) following a beta decay reaction. The result is that positrons are accelerated...
Homework Statement
Homework EquationsThe Attempt at a Solution
I've started from writing out the amplitude. Here I know that fermion has definite helicity so I can't sum over spins but I should input explicit forms of spinors. Am I correct? How to do this?
I would be grateful for helping me...
Both ##^{87}_{37}Rb## and ##^{87}_{38}Sr## are odd-even nuclei, so we can ignore the pairing term ##\delta##. I tried to calculate the most stable Z for a given A by finding ##\frac{\partial B}{\partial Z} = 0##. That gives the most Z-stable value of ##Z_0 = \frac{2\gamma A}{4\gamma + \epsilon...
I was reading in Griffit's "Introduction to Elementary Particles" when I stumbled over the following Remark in chapter 4.4.3.1. CP eigenstates are constructed by
|K_1> = \frac{1}{\sqrt{2}}(|K^0> - |\bar{K^0})
|K_2> = \frac{1}{\sqrt{2}}(|K^0> + |\bar{K^0})
and, assuming CP conservation...
Homework Statement
Consider;
p+p \rightarrow d + e^+ + \nu_e
Assume the binding energy of deuteron is 2.2MeV, calculate the maximum energy that the positron can have.
Homework Equations
m_p=938.28MeV/c^2
m_n=939.566MeV/c^2
m_d=1875.6MeV/c^2
The Attempt at a Solution
Assuming the neutrino was...
Hello all, please forgive me if I seem somewhat unaccustomed to this site, I have just registered.
I suffer from an illness called catastrophic thinking syndrome, simply put this means that I turn everything I read into a disaster until I become ill due to anxiety / depression . I recently...
If you consider the ##\chi_0 ## with a mass of ## 3.4 GeV/c^2## meson, why doesn't it decay to a pair of charged leptons? Technically it is possible though the weak interaction (Z boson) or EM interaction, right?
Is it because it is so heavily suppressed because the strong interactions are...
The following equation is written in my book:
204Pb→4α + 200Hg
If an alpha particle is a helium nucleus, why doesn't it have a +2 charge and why doesn't Hg have a -2 charge? Did my text just omit the charge?
Homework Statement
Find the velocity field u(x,t)
Homework Equations
\rho = constant
u(0,t)=0
u(0,L)=0
\frac{\partial u}{\partial t} = \nu \frac{\partial ^{2}u}{\partial x^{2}}
u(x,0)=U_{o}[sin(\frac{3\pi x}{L})+0.7sin(\frac{9\pi x}{L})]
The Attempt at a Solution
I have absolutely no idea...
In the text-book example of CP violation in the kaon system, the usual statement is that the KS decays much faster than the KL because the phase space is larger for a decay into two pions, compared to three pions. (See, for example, Griffiths or "Modern Particle Physics" by Thomson.)
I was...