What is Decay: Definition and 999 Discussions

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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  1. bayan

    Quantum tunneling and radioactive decay.

    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...
  2. Hepth

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    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...
  3. E

    Nuclear Physics - Difference between electron capture and beta plus decay

    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...
  4. O

    Positron emission (Beta + decay)

    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...
  5. M

    Fundamental Particles - Meson Decay Question

    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...
  6. A

    Finding the energies of 2 photons from a decay of a travelling mass

    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 =...
  7. B

    Nuclear Decay question without knowing N0 or N ?

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  8. D

    Request for Link on orbital decay energy characteristics

    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)...
  9. A

    Lorentz gamma factor in a decay of arbitrary leptons

    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...
  10. N

    Understanding Nucleus Decay: Nitrogen-14 to Carbon-11 Transformation Explained

    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...
  11. J

    Energy release from beta plus decay

    [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...
  12. D

    Would like suggestions for studying igneous rocks and radioactive 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...
  13. A

    Kaon decay to a lepton and associated neutrino

    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...
  14. A

    Is activity in radioactive decay a differential?

    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...
  15. R

    Gamma radiation decay question.

    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...
  16. H

    Nuclear decay emission: deterministic modeling?

    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...
  17. MacLaddy

    Understanding Electron Capture and the Emission of X-rays

    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...
  18. P

    Determining background radiation in a decay spectrum

    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...
  19. K

    How Do You Calculate the Age of Plant Material Using Radioactive Decay?

    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...
  20. E

    Solving Radioactive Decay: Homework Equations and Attempt at Solution

    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 ?
  21. R

    Why Does Co-60 Decay to an Excited State of Ni-60 and Emit Two Photons?

    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...
  22. G

    Particle Decay: Understanding Energies and Four-Momentum | Physics Homework

    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...
  23. N

    Why is the decay of a single photon impossible?

    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...
  24. N

    Should the Feynman graph for muon decay include an arrow on the W boson?

    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...
  25. F

    Energy and Momentum in Particle Decay

    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...
  26. O

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  27. B

    Decay chain of radioactive isotopes

    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...
  28. C

    Spin and parity predictions from kaon decay

    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...
  29. N

    Neutrons don't decay in nuclei because no available states incorrect?

    "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...
  30. N

    2 Q's about statements in Griffiths' book (regarding proton decay)

    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...
  31. S

    Electromagnetic decay inside materials.

    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...
  32. K

    Exponential Decay with Matrices

    Homework Statement 6. Three disease-carrying organisms decay exponentially in seawater according to the following model: P(t) = Ae-1.5t + Be-0.3t + Ce-0.05t t 0.5, 1, 2, 3 , 4, 5, 6, 7, 9 p(t) 6, 4.4, 3.2, 2.7, 2, 1.9, 1.7, 1.4, 1.1 Estimate the initial concentration of each...
  33. B

    Why is the decay of Rho meson into pion and photon suppressed?

    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!
  34. O

    Why do we never observe the decay of this particle?

    Hey why do we observe the Ʃ(minus) decay into n+e+anti-e-neutrino?But never Ʃ+--->n + positron+ ve( electron neutrino)
  35. A

    SU(5) model, gauge boson decay

    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...
  36. B

    MSc particle physics revision question - angle of muon from pion decay

    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...
  37. D

    T "Understanding Radioactive Decay and Its Types: Explained by an Expert

    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...
  38. E

    Differential equation of growth & decay

    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...
  39. N

    Positronium Decay: Find Momentum of Gamma Rays

    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...
  40. S

    Decay of a muon-probability of decay

    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...
  41. Z

    Decay of Electric Field between two plates

    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...
  42. K

    What is the cause of radioactive decay?

    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...
  43. binbagsss

    Electron Capture and B+ decay

    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...
  44. C

    Linear first-order diffeq system for radioactive decay chain

    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...
  45. U

    Radioactive decay of an isolated body

    (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...
  46. K

    Radio-active decay: probability of N particles after K halflives?

    Hi guys, I'm working on a problem involving electrical signals which have components which appear to be decaying exponentially. I think my problem is analogous to radio-active decay. I would like to find the probability that there are N particles remaining after K half-lives. To clarify...
  47. W

    Effect of continuous refueling on decay heat

    Estimate the decay heat rate in a 3000 MWth reactor in which 3.2% mU-enriched U02 assemblies are being fed into the core. The burned-up fuel stays in the core for 3 years before being replaced. Consider two cases: 1. The core is replaced in two batches every 18 months. 2. The fuel...
  48. X

    How are W Bosons Formed in Beta Decay

    I understand how beta decay works on a fundamental level, in that either an up or down quark in the one of the nucleons decays into an up or down quark and in the process, a W boson is emitted which in turn decays into an electron and an electron antineutrino or opposites thereof depending on...
  49. M

    Higgs boson lifetime and decay length?

    I am trying to figure out how fast the Higgs decays and how far it travels in a detector at the LHC. Figure 2.5 in http://www.hep.lu.se/atlas/thesis/egede/thesis-node14.html gives decay widths of the Higgs as a function of its mass. For a Higgs of 125 GeV, it is 0.002 GeV. Using the...
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