Decay Definition and 998 Threads

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. edguy99

    I Does the anti-neutron decay with same timing as a neutron?

    There is some discussion regarding the decay time of the neutron here for example. Has the decay time of the anti-neutron been predicted or seen to any degree of accuracy that could be compared to the decay times seen for the neutron? Is it expected to be the same?
  2. S

    B Neutral Pion Decay: Exploring Spin Conservation

    Hi everyone, I am curious about how a neutral pion decays in two photons. I don't understand how it is possible since the pion has spin = 1 and the photons have spin = 1 as well: doesn't this mean that spin is not conserved in this decay? What am I missing? Another question I have is about...
  3. C

    I Do more unstable elements decay faster than more stable ones?

    Do more unstable elements decay faster than more stable ones? Thanks!
  4. C

    I Can We Neglect Electron Binding Energies in Beta Decay Calculations?

    Hi, I was reading the wiki article here on beta decay and energy release: https://en.wikipedia.org/wiki/Beta_decay#Energy_release In obtaining a condition on the masses of the initial and final atoms we neglected the difference in electron binding energies of the two atoms. Does this mean we...
  5. amyy

    Why Does Tritium Beta-Decay to Helium-3?

    Homework Statement 3H has more tightly bound than 3He. Why is it, then, that 3H beta-decays to 3He? Homework Equations I also wonder what is the physical meaning of the value mass excess Δ(Z,A)≡[M(Z,A)-A]c2, or it is just for the convenience of calculations. The Attempt at a Solution B/A of...
  6. S

    I Is there a tie between half life and energy of decay?

    As we all know radioactive isotopes have different half lives and different decay energies. Is there any tie between how long or short the half life is and the amount of energy of decay? I know that it will be a rather complex problem, especially for alpha decay where the mass of the...
  7. M

    Rearranging x=x0e^-lambda t in the form y=mx+c

    Hi, How could I rearrange x=x0e^-lambda t into the form y=mx+c, where y is equal to ln x and x is equal to t? Thank you in advance I tried to solve the problem myself, by taking the natural log of both sides, this left me with: ln x = -lambda t * lnx0 However, I am not sure if this answer is...
  8. M

    Radiation Decay: Calculating Half-Life & Nuclei Activity

    1. If I throw sixty different dice (compared to an atomic nucleus) and each dice that gets a 3 is disintegrated and disappear before the next roll. Altogether I make ten roll, where each roll corresponds to one day. The result is illustrated in a graph: http://imgur.com/TbXF4mf click on the...
  9. P

    Momentum density of states for pion decay.

    Homework Statement I am trying to calculate the ratio of the density of states factor, ##\rho(p)##, for the two decays: $$\pi^+\rightarrow e^++\nu_e~~$$ and $$\pi^+\rightarrow \mu^++\nu_{\mu}~~$$ Homework Equations ##\rho(p)~dp=\frac{V}{(2\pi\hbar)^3}p^2~dp~d\Omega## Which is the number...
  10. UseAsDirected

    I Actual measurement of radioactive decay

    Hello, Are there any anthropologists, archaeologists, or geologists around on this board for help? I am trying to teach myself about radioactive decay via beta emission whereby a neutron spontaneously transmutes into a proton, releasing an electron. But, I do not understand the practical side...
  11. Joshua L

    B What is the Hamiltonian operator for a decaying Carbon-14 atom?

    Hey, here's a quick question: What is the Hamiltonian operator corresponding to a decaying Carbon-14 atom. Any insight is quite appreciated!
  12. T

    Association between W Boson Decay and Leptons

    As a physics A Level student, I am interested in understanding particle physics. Recently I have read that a W boson, as a relatively heavy particle, decays into one of three charged anti-leptons, and one of the three neutrinos. If a W boson decays to form an anti-tau lepton, it will also form a...
  13. kiwaho

    An unique anomalous decay Q(β+)<0

    Normally 87Rb can decay to 87Sr because Q(β-)= 282.2keV in a half life of 4.97*10^10 years. But do you know 87Sr can also decay back to 87Rb by EC(Electron Capture) in a very short half life 2.815 hours by a little chance of 0.3%? Of course, the reverse decay can not happen naturally, because...
  14. DetectiveT

    Gamma and x-ray decay in different series

    Is there any gamma decay or x-ray decay in Actinium series, Uranium series or Thorium series? On Wikipedia, it only shows alpha and beta decay, does it mean high energy photon decay (gamma or x-ray) exists in each process? Thank you! https://en.wikipedia.org/wiki/Decay_chain#Actinium_series
  15. M

    How can beta decay have energy of 3-4 MeV

    First of all let me tell that I am a high school student and I have no background in particle physics. If we apply the Heisenberg's uncertainty principle to an electron confined in the nucleus it tells us that the energy of the electron must be something like 3.8X10^8eV .. but in a beta decay...
  16. R

    Why the rare kaon decay K+ -> pi+ nu nubar req. penguins?

    Hello, my question is, why does the decay of K⁺ -> π⁺ ν ν-bar require a loop to be allowed. See images below.* -What is it that makes the decay forbidden in figure 1.4 and not forbidden in figure 1.5? -What does being a first order weak decay and a second order weak decay mean? -I suspect...
  17. E

    Calculating Radioactive Decay with Simultaneous Particle Emission

    Homework Statement A radioactive material decays by simultaneous emission of two particles with respective half lives 1620 and 810 years. The time, in years, after which one-fourth of the material remains is: Homework EquationsThe Attempt at a Solution I'm confused whether the half lives...
  18. Gwyndolin

    How to derive formula for nucleus decay using this equation?

    Homework Statement The formula being derived is N=No*e^k*t, from the equation Nn=No/2^n where No is the initial number of particles and the lowercase n in the second equation is the number of half lives. The n in Nn just indicates the number of particles after so many half lives. You might also...
  19. A

    References for tunneling decay in magnetic fields

    I'm looking for introductory references to the topic of time of tunnelling decay when besides the potential barrier there is also a magnetic field present. I have found a couple of articles about the topic but they treat complicated cases in condensed matter, I'm more interested in the basic of...
  20. andrex904

    Exploring Parity & Charge Conjugation in Z Boson Decay

    Considering a Z boson decay into a fermion-antifermion pair. How can i say if the process respect parity and charge conjugation?Thanks
  21. andrex904

    Computing Differential Decay of W Boson at Rest

    Hi, I'm trying to compute the differential decay of W boson at rest $$W^+ \rightarrow e^+ \nu_e$$ where the boson has fixed spin along z axis, and so specific cirular polarization. Using Feynman rules i get...
  22. ORF

    Nuclear decay of small amount and by different processes

    Hello I was reading this post, https://www.physicsforums.com/threads/nuclear-decay-of-a-small-number-of-atoms-calculation.853664/ and I wander if the binomial distribution is still a good model if you have a small amount of nuclei, and in addition they can decay by different processes (each...
  23. S

    Unraveling Hadronization: Understanding Particle Decay and Feynman Diagrams

    Hello everyone, I've been wondering for a while how is it possible to determine which decays are possible from a particle or, given a decay be sure that the given decay is possible and hence draw a Feynman diagram of it. I know I have to take into account conservation charge, energy...
  24. K

    Conservation of momentum and nuclear decay (Gr 12 Physics)

    Homework Statement A stationary nucleus undergoes radioactive decay. A beta particle and a neutrino are detected leaving the nucleus. What is the recoil velocity of the remaining nucleus? If the recoil velocity measured is significantly different from the calculated velocity, what conclusion...
  25. resurgance2001

    Nuclear decay of a small number of atoms calculation

    I came across a rather dubious question that a teacher had put in a power point. It said something like,"Given a sample of 100 atoms of isotope x, after one half life of the said isotope, how many atoms of the original isotope will be left?" My answer was that it was a trick question because...
  26. X

    Disintegration Energy of Beta Plus Decay

    Homework Statement The radionuclide 11C decays according to 116C → 115B + e+ + v Show that the disintegration energy is given by Q = (mC - mB - 2me) c2 Homework Equations Q = (mi - mf) c2 The Attempt at a Solution [/B] Q= (mC - mB - me) c2 Im probably missing something obvious but I can't...
  27. A

    Decay into electron-positron pair in Yukawa theory

    Homework Statement I have a question regarding exercise 48.4-b in Srednicki's QFT book (the chapter is related to Yukawa theories). I have the official solution + explanation to the problem but I still do not fully understand the reasoning used in it, so perhaps you can help me. In the...
  28. J

    B Is Decoherence Possible Without Collapse?

    Beta decay, quantum fluctuations, even random vacuum polarizations are all manifestation of collapse, isn't it? The arguments being that in pure unitary wave function, there will be no phase randomization of any kind. Do you consider beta decay as example of decoherence? For decoherence to...
  29. P

    Calculating Photon Frequency From Relativistic Decay: Homework Solution

    Homework Statement Hi- I've been doing some questions and came across the following A high energy particle, traveling towards an observer with velocity v decays to produce a photon with energy E in the rest frame of the particle. Find the frequency at which this photon would be detected by...
  30. Safinaz

    Dimension of a partial decay width

    Hi all, I know that the dimension of a partial decay width or a cross section should be GeV or pb respectively. But what if i have a decay width probational to ## \Gamma = 10^{-3} GeV^3 G_\mu ## where I calculated all the masses and constants in ## \Gamma ##, ## G_\mu ## is the Fermi...
  31. bcrowell

    Order-of magnitude estimate fails for angular momentum in decay

    When a nucleus gamma decays, the gamma has its intrinsic spin of ##1\hbar##, but it can also carry away a significant amount of angular momentum in addition to that. Quadrupole radiation is very common, and in exceptional cases you can even get gammas with 5 or ##10\hbar##. Now suppose I do the...
  32. Lagraaaange

    Radioactive decay: Solve for delta t

    Homework Statement Two isotopes N1, N2. You are given the value of the proportions N1(t1)/N2(t1) and N1(t2)/N2(t2). From this calculate Δt. Homework Equations dN/dt = -λN The Attempt at a Solution Solve dN1/N = -λdt and dN2/N = -λdt obtain: N1(t2) = N1(t1)exp(-λ1(t2-t1)) (1) and N2(t2) =...
  33. P

    How long after the decay do ##e^{-}## and ##e^{+}## Collide

    Homework Statement A particular type of fundamental particle decays by transforming into an electron ##e^{-}## and a positron ##e^{+}##. Suppose the decaying particle is at rest in a uniform magnetic field of magnitude 3.53 mT and the ##e^{-}## and ##e^{+}## move away from the decay point in...
  34. T

    Why Does Particle Decay? | Explained with Fermi

    For instancr like neutron decaying into proton electron and antineutrino. I read it in a book that says that according to Fermi, each of these particles are vibrations in different quantum fields and that each field exerted a tiny influence on the others. Because of quantum mechanics, we can't...
  35. Shahrokh

    Exploring Bosonic Decays After Inflation

    Inflation , as proposed, leaves the universe cold and empty. The compensating theory of reheating or preheating then needed to operate after inflationary era. Such theories prefer three legs bosonic decays φ→χχ, which doesn't have any analogy with standard model processes as much as I know. How...
  36. Rath123

    Calculating Initial Mass for Nuclear Reactor Operation

    Homework Statement What initial mass of 23592U is required to operate a 350 MW reactor for 3 yrs? Assume 46% efficiency. Homework Equations I used Mass* C* efficiency as a decimal= power (e^-6) * time (in seconds) and got 800 as the mass, however, this was incorrect The Attempt at a...
  37. M

    Power produced from alpha decay

    Homework Statement Assume that a 14 kg sample of 240Pu is used to produce electrical power from its α decay. If your device is 60% efficient in producing electrical power, how much power can be produced? (in watts) Homework Equations Q=mass of plutonium-mass alpha-mass daughter; 240 plutonium=...
  38. W

    Relativistic Particle Decay: Momentum Conservation

    A particle with mass M a rest decays into two particles a and b. I know that Ea + Eb = Mc2, from conservation of energy. But I'm pretty confused about signs in the conservation of momentum equation, and I've actually seen two versions! pa + pb = 0, so pa = - pb. But I've also seen pa = pb! I...
  39. W

    Momentum Analysis in Rest Frame Decay of Particle with Mass M

    Homework Statement A particle with mass M at rest decays into two particles with masses ma=0.15M and mb=0.65M . i) Discuss the relative directions and magnitudes of the momenta of these two particles in the centre of mass reference frame. Homework EquationsThe Attempt at a Solution What's the...
  40. J

    Speed of an antimuon in a pi meson decay

    Homework Statement I'm trying to confirm the speed of an antimuon in the \pi^+ \rightarrow \mu^+ \nu_{\mu} decay through the laws of conservation but it doesn't add up. Homework Equations [/B] 1.Energy-momentum relation: E^2 = (pc)^2 + (mc^2)^2 2. Rest masses: m_{\pi} = 139.6 \...
  41. HanningWu

    How could this,Sigma0 decay into Lambda and gamma, happens?

    I found an article, titled Electromagnetic Decay of the Σ0(1385) to Λγ , in the arXiv telling that the reaction Σ0→Λ+γ can happen through electromagnetic interaction. However, if I examine the conservation of parity. Parity on the left side is even(P(Σ0)=+), but that on the right side is...
  42. Fb.Researcher

    Compute decay rate of muon according to given equation

    Homework Statement A muon decays to an electron, an electron neutrino and a muon neutrino. ## \mu \rightarrow e \ \nu_\mu \ \nu_e## .The matrix element of the process is ## |\mathcal{M}|^2 = G^2_F (m^2-2mE)mE## with ##m## being the mass of the muon and ##E## the energy of the resulting...
  43. B

    Radioactive Decay Chernobyl reactor accident

    Among the radioactive products emitted in the 1986 Chernobyl reactor accident were 131I ( t1/2 = 8.0 d) and 137Cs (t1/2 = 30 y). There are about five times as many 137Cs atoms as 131I atoms produced in fission. (a) Which isotope contributes the greater activity to the radiation cloud? Assume the...
  44. J

    What Causes Beta Decay and the Role of the Weak Nuclear Force?

    I am familiar with the proton:neutron ratio and stability but what about this instability actually causes a quark to emit a boson and change flavour? And what does this have to do with the weak nuclear force? Thanks
  45. S

    What Was the Speed of the K0 Particle Before Decay?

    Homework Statement A K0 particle is unstable and has a mass of 8.87x10-28 kg. It can decay into π+ and π- particles, each of mass 2.49x10-28 kg. Suppose that a K0 is moving in the +x direction and decays by this process, with the π+ moving off at 0.9c and the π- moving off at 0.8c. a) What was...
  46. E

    Question regarding decay, protons and neutrons

    Homework Statement [/B] You find a 1kg piece of rock containing 3 elements: Fakium with 50 protons and 52 neutrons imaginium with 52 protons and 48 neutrons madeupium with 51 protons and 51 neutrons Fakium is known to be radio active, Which of the other two elements could be the decay product...
  47. G

    Uncertainty in Radioactive Decay Dating Calculation

    Homework Statement Charred wood remains were found in Conimbriga, probably with Roman origin. When measured at 14C activity in these remnants, it afforded 10.8 disintegrations per second per gram. The half-processing 14C is 5730 ± 30 years and the activity of this isotope in the atmosphere and...
  48. Manel

    Pi 0 Decay: Chances of e+ e- Gamma vs e+ e-

    Hello everyone, I found in the PDG booklet that pi 0 decay into e+ e- gamma is more likely to happen than to e+ e- only ..is there a reason that favorises the first decay?
  49. M

    Direction of particles after decay w/ relativity

    One of the possible decay modes of the neutral kaon is ## K^0 \rightarrow \pi^+ + \pi^- ## The rest masses of the K0 and pion are 498 MeV/c2 and 135 MeV/c2, respectively. In 2-dimensions (xz-plane), if the kaon has an initial momentum of 2000 MeV/c in the z direction, what is the momentum of...
  50. Ogi

    Radioactive Decay: Alien Element Unstable Isotope

    Hi guys, in my plot I have an unstable isotope of an alien element and I was wondering wouldn't it be nice if most of the particles generated from the decaying are entangled, how do you think, does it sound silly and totally impossible? If it is a good idea, then how such a property can be used...
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