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. Krushnaraj Pandya

    Radioactive Decay Rates and the Relationship between Decay Constants

    Homework Statement Consider nucleus A decaying to B with decay constant D1, B decays to either X or Y (decay constants D2 and D3). at t=0, number of nuclei of A,B,X and Y are J,J,0 and 0. and N1,N2,N3 and N4 are the number of nuclei of A,B,X and Y at any instant. My question is, what is the...
  2. Krushnaraj Pandya

    Probability of decay of a nucleus

    Homework Statement I want to know why probability disintegration per second of a radioactive nucleus does not depend on time lived by it. Homework Equations N/N(initial)=e^(-λt) The Attempt at a Solution According to the above equation, the probability should increase with the passage of...
  3. K

    Calculating Muon Decay Rate using Delta Function Identity

    Homework Statement I need to calculate the muon decay rate, ignoring the mass of the outgoing particles. Homework Equations ##d\Gamma = \frac{1}{2E_1}|M|^2d\Pi_{LIPS}## The Attempt at a Solution I am actually having problem with the math at a point. I reached this...
  4. S

    Decay length of the evanescent wave

    Homework Statement A beam of light of vacuum wavelength λ = 550nm passes from water (refractive index 1.33) into air (refractive index 1.00). (a) What is the critical angle? (b) Suppose the beam is totally internally reflected. At what angle of incidence would the decay length of the...
  5. J

    Why do Harmonics Decay Faster than the Fundamental?

    When looking at the FFT spectrum of a sonometer, I noticed that the harmonics decayed faster than the fundamental. Why is this?
  6. T

    I Higgs Boson decay to two Quarks Detected

    https://phys.org/news/2018-08-long-sought-higgs-boson.html
  7. S

    I Gamma Decay (Electric and Magnetic Transitions)

    I'm trying to understand electric and magnetic transitions in gamma decay a bit more intuitively than i currently understand but I'm having a really hard time doing so When the nucleus is coupling to the electric field of the photon we call it an electric decay and the parity is: (-1)L When...
  8. S

    I Am I understanding the Geiger-Nuttall law correctly

    Geiger–Nuttall rule relates the decay constant of a radioactive isotope with the energy of the alpha particles emitted. Roughly speaking, it states that short-lived isotopes emit more energetic alpha particles than long-lived ones. - wiki I am trying to understand why there is an inverse...
  9. M

    I What causes an elementary particle to "decay"?

    What causes an elementary particle to "decay" into other elementary particles? And where do these particles come from if they were not part of the original particle?
  10. caitphys

    Muon production and decay from relativistic annihilation

    Homework Statement An antiproton of energy 35 ##GeV## from a source outside the solar system interacts with a proton in the upper atmosphere traveling on a trajectory which is radial with respect to the centre of the Earth. The antiproton annihilates the proton with the final outcome that two...
  11. S

    Is the following decay process possible?

    Homework Statement An antimuon and electron may bind together via Coulomb attraction and then decay, but is the following process possible? (µ+e-) → νe + νµ_bar *The νµ_bar is the antiparticle of the muon neutrino - the antimuon neutrino More than one answer (below) may be correct. a)...
  12. C

    I Activity of daugther isotope in secular equilibrium

    Consider chain of two radioactive decays ##A \to B\to C##. The equation that regulates ##N_B## is $${\frac {\mathrm {d} N_{B}}{\mathrm {d} t}}=-\lambda _{B}N_{B}+\lambda _{A}N_{A}$$ I can't understand why the activity of ##B## is get as ##\lambda_B N_B##, for example at page 20 here...
  13. A

    A Magnitude of resulting decay rates due to Anti-Zeno effects

    Regarding the Quantum Anti-Zeno effect (AZE), we know that frequent measurements of a decaying system (such as a decaying radioactive nucleus) can induce greater decay rates. However, if I understand correctly, you can change the percentage of change in the decay rate. For example, if you have...
  14. C

    I Measuring characteristic time of strong and weak interaction

    Consider a scattering between two particles a and b that produces two particles c and d: d is stable, while c decays in two other different particles e and f. The first interaction is by strong force (time of interaction ##t_1\sim 10^{-23}s##, which is also the time of generation of c and d)...
  15. P

    A Why does sd replace sγ5d ee in the amplitude of meson decay?

    is the amplitude of pure leptonic decay of pseudo scalar meson(say K→ee), while is the amplitude of the semileptonic decay of K→π ee. Kindly explain why does sd replace sγ5d ee in the amplitude?
  16. A

    A Beta Decay Rates Changing by Ionization?

    I recently read about a beta decay isotope (Rhenium-187),whose half life was changed from 42 X 109 years to 33 years, just by stripping the nucleus of all it's electrons. Why does this allow for a faster decay, and does this apply to all beta decay nuclei, or just Rhenium 187?
  17. M

    A Calculating decay rates for modes of a circular membrane

    I am trying to solve for the theoretical relative decay rates of the various (m,n) modes of an ideal circular membrane, if that membrane is excited momentarily by an impulse or deformation. I would ideally like the decays of the (m,n) modes in dB/s. Imagine a simple isolated drum head being...
  18. A

    A Quantum Anti-Zeno Effect and Decay Rates

    Hey everyone, I have a question about how "viable" the Quantum Anti-Zeno Effect (AZE) is at lowering decay rates in radioactive nuclei. We know that the AZE can, in fact, reduce the half life of radioactive isotopes, but there seems to be a barrier to that. AZE states that decay can be...
  19. S

    B What happens to Fermions during Beta decay radiation?

    I recently started learning about quarks and leptons and was wondering what happens to the fermions (specifically the quarks and leptons) during a beta decay. How is the electron/positron created and what causes the up quarks and down quarks to change flavours? If this is a bad question please...
  20. P

    How to determine if this is β- or β+ decay?

    Homework Statement [/B] The problem states that 24 11Na is radioactive. The question asks if it's a β- or β+ emitter. The 24 is the atomic mass number and the 11 is the atomic number. Homework Equations I know that in β- decay, the atomic number increases by 1 and it emits an electron and...
  21. A

    I Calculating Double Beta Decay Rates: Is It as Simple as Multiplying Two Values?

    Hey everyone, I've learned about double beta decay and neutrinoless double beta decay recently. So we have two "conditions" for decay, 2v decay and 0v decay. Now, to the question I have: There have been a lot of experiments measuring 2v decay rates, and there have been many experiments...
  22. Cocoleia

    Position of particles on a detector after decay

    Homework Statement A hypertriton (a bound system with a L hyperon together with a deuteron core (proton and neutron) is produced at the origin of the coordinate, (x,y)=(0,0) with a velocity of 0.94c (beta=0.94), flying along the x-axis. The mass of the hypertriton is 2.991 GeV/c2 . It decays...
  23. M

    I Predicting the decay time of a resonant bandpass filter

    In a typical resonant bandpass filter, resonance is set as none at 0 and full at 1, such that the filter rings infinitely at 1 and not at all at 0. If there is a two-pole resonant bandpass filter, with an impulse excitation to a maximum amplitude of "1" and a resonance setting between 0 and 1...
  24. S

    I Exploring Spontaneous Decay in QM with Griffiths

    Hello! I am reading about Time Dependent Perturbation Theory from Griffiths book on QM. He derives the fact that for a system with 2 levels with energies ##E_b > E_a##, if you send light to it (or a sinusoidal perturbation) the probability of an electron going from state a to state b is the same...
  25. J

    Higgs Experiment for new particle (decay widths)

    < Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown > Question: An experiment is proposed to directly measure the width (Γ) and mass (m_H) of the Higgs boson via the reaction: muon+ + muon- > H. Sketch a graph of the expected cross section as a...
  26. Cocoleia

    Lambda decay, momentum of the pion and proton

    Homework Statement I have a lambda decaying into a pion and a proton. The lambda is moving with velocity 0.9c and I know the mass of the lambda as well as the pion and proton (these are known constants). I need to find the momentum of the pion and the proton after the decay happens. Homework...
  27. Cocoleia

    Particle decay, Lorentz transformations with angles

    Homework Statement I have a mother particle at rest, which decays to a daughter particle. The daughter has mass m, momentum p and energy E and is at an angle θ1. Now I have to assume that the daughter is emitted at an angle θ2, and the mother is moving along the x-axis with velocity βc. I need...
  28. Cocoleia

    Momentum dealing with decay, special relativity

    Homework Statement A particle A (mother particle) with a mass of mA decays to two particles B and C (daughter particles) with mass values of respectively mB and mC. Calculate momentum of the two daughter particles, pB and pC. (at first the mother particle is at rest) Homework Equations The...
  29. C

    I Why is radioactive decay so rare?

    Hi all, I'm just curious about the weak force and how it works. If quarks and electrons both have weak iso-spin and are constantly whizzing about next to their neighbour's (especially so inside a nucleon), what prevents say, the up quarks from emitting a W- boson everytime they are near a down...
  30. wolf1728

    I What is the exponential decay equation for a bouncing ball?

    This is not a physics question. Each time a ball bounces it will bounce to, let's say 75% of its previous height. (I am not interested in the time, energy or velocity, of the ball.) So if we drop it from 100 cm it will bounce back up to 75 cm, and on the next bounce it goes up to 56.25 cm and...
  31. Alettix

    Magnetic field decay in cylinder coaxial with solenoid

    Homework Statement For a medium of conductivity ##\sigma##: $$ \nabla^2 \vec{B} = \sigma \mu \mu_0 \frac{\partial \vec{B}}{\partial t} + \mu \mu_0 \epsilon \epsilon_0 \frac{\partial^2 \vec{B}}{\partial^2 t} $$ A long solenoid with ##r=b## has n turns per unit length of superconducting wire anc...
  32. H

    [Poisson Stats] Error on half-life for radioactive decay

    Hi there, not sure whether this is in the right section but: I've made two runs of a radioactive decay experiment where I've got a log(N) vs. time plots. From this I've got the decay constants and hence the half-life. I've averaged these two half-lives ( = 160 secs) and now I'm trying to work...
  33. G

    Ultra-Relativistic Particle Decaying to Identical Particles

    Homework Statement Show that it is impossible for an ultra-relativistic particle with ##pc>>Mc^2## to disintegrate into two identical massive particles of mass m. Homework Equations Conservation of four momentum The Attempt at a Solution The four momentum of the ultra-relativistic particle...
  34. F

    Relativistic Decay: Calculating Pion Momentum

    Homework Statement A Sigma^+ decays at rest into a neutron and a pion^+ meson, i.e. according to the reaction $$\Sigma \rightarrow n + \pi$$ The n and π masses are assumed known. The kinetic energy of the π + is measured to be 92 MeV. Determine the momentum of the pion. Homework Equations...
  35. Q

    I Radioactive decay caused by WIMPS?

    I read from various sources that Non-baryonic matter (primarily WIMPs) is the best candidate to explain a number of cosmological phenomena. Why would the phenomenon of radioactive decay not be attributed to these abundant (over 1/4 of the mass-energy of the universe) particles? I'm not trying to...
  36. Soffie

    B Can Leptons decay into mesons?

    I presume they cannot as they are fundamental particles? But then a meson can decay into a lepton?
  37. ohwilleke

    I Proton Decay At The Highest Possible Energies

    Proton decay has not been observed and has been constrained to be extremely rare in ordinary low temperature situations, if it happens at all (the Standard Model says it doesn't happen at all, because there are no lighter decay products that would not violate conservation of baryon number)...
  38. S

    Negative square amplitude for a decay process

    Homework Statement I'm trying to compute the square amplitude ## |\mathcal{M}|^2 ## for a decay process in which a Majorana fermion, call it ## \chi_2 ##, decays into another Majorana fermion, ## \chi_1 ##, and a vector boson denoted by ## A^{\mu} ##. The model is such that the mass of the two...
  39. SuchBants

    Estimate Decay Coefficient in Ae^-at Graph

    Homework Statement How can I estimate the decay coefficient in Ae^-at for this graph I know the equilibrium position Homework Equations damped oscillation The Attempt at a Solution not sure if this is right.[/B]
  40. Gene Naden

    I Why does the long-lived kaon only rarely decay to two pions?

    The weak interaction doesn't conserve CP, so it shouldn't care whether there are two neutral pions in the decay product or three. And the three-pion decay is slowed down by the lack of phase space since there is little mass in excess of that of three pions. So why don't we see more decays into...
  41. J

    Don't understand this question regarding radioactive decay

    1. Create and solve differential equations for the number of different amounts of isotopes, which change through time in the decay chain X -> Y -> Z, where X and Y are radioactive atoms, and Z is a stable atom. 2. Make a mathematical analysis of how the different amounts of isotopes from 1 mg...
  42. B

    Find the change in mass from the KE (nuclear decay)

    Homework Statement A nucleus A decays into two nuclei B and C. The two nuclei have a combined kinetic energy of 581.9 MeV. What is the difference between the rest mass of the parent nucleus A and the combined rest mass of the two produced nuclei? Give your answer in atomic mass units u, with...
  43. A

    Exponential decay of a pendulum oscillation amplitude

    Homework Statement I found an answer on the internet for this problem, but I'm not sure on one of the steps. The solution says, "Take ln of both sides to get rid of Ae. If we do that, then the right side will be ln(Ae^t/T). I don't see how using ln will get rid of Ae? Homework Equations Refer...
  44. A

    I Why Does π+ Decay to Muon and Muonic Neutrino?

    I am having a question in mind that why π+ decays to muon and muonic neutrino ,why no electron and electronic neutrino?
  45. S

    Energy released through alpha decay

    Homework Statement The radioactive isotope radon-222 may decay spontaneously by emitting an alpha particle. The daughter nucleus is an isotope of polonium. The atomic masses of these isotopes are: Rn-222 : 222.0157 u Po : 218.00896 u He : 4.00260 u A sample of radon-222 contains 3.0 x 107...
  46. R

    B Exponential decay convolved with Gaussian

    Hello all, I have a data which look like reversed exponentially modified Gaussian (EMG) function and interested to fit the data with with reversed EMG function. After searching on internet I found the EMG function, which is given below...
  47. paulo84

    B Understanding Rates of Decay in Simple Terms

    In simple terms, rate of decay is kinda like: dN/dt = -λN Has anyone tried finding the rate of the rate, or the rate of the rate of the rate, etc, to make sure that the rate of the rate of decay (etc.) isn't changing??
  48. Ranku

    I Grand Unified Theory and proton decay

    How far ahead are we in Grand Unified Theory? Are we still searching for proton decay?
  49. S

    A Could vacuum decay fundamentally change our universe?

    If the universe suffered a false vacuum decay, would this change physical laws? Could it change the universe so much that it would allow our universe to be a multiverse of level 1, 2, 3 and 4? https://en.wikipedia.org/wiki/Multiverse
  50. A

    I Calculation Of the energy Of beta decay in tritium

    Hi! I hace been trying to calculate how many energy in form of beta radiation is emitted in one if those "Tritiglows" sold in Amazon. I did the following math (imatge) and got a really high energy. How is that posible? Where did I failed...
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