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. lLehner95

    Why is eta meson decay into 3 neutral pions forbidden?

    I started combining 2 pions: ##|\pi ^{0},\pi ^{0} >=\sqrt{\frac{2}{3}}|2,0>-\sqrt{\frac{1}{3}}|0,0>## What should i do now? Should i continue combining the third pion or can i already say that it's forbidden? If yes, why? Is it because the state antisymmetric, impossible for two bosons?
  2. B

    Why didn't radioactive decay probabilities cause the same uproar as QM

    It is equally puzzling why we are confined to probability amplitudes for RD as in QM measurements. Newtonian determinism is undermined in both, so why were there still Newtonian determinists around when QM hit the scene? We still have deterministic equations for both ofc but they are limited to...
  3. The forgetful one

    I Why is H burning not a B+ decay

    Hello physics gurus out there. Can someone please point me in the correct direction. I am looking for reasons why Hydrogen burning is NOT considered to be B+ decay in the standard CNO cycle? Thanks The forgetful one
  4. qnach

    A The time between when the neutrinos are emitted in double-beta decay?

    Double-beta decay will emit two neutrinos. But, are they simultaneously released or separated?
  5. D

    B Is Radioactive Decay Uncaused/Causeless?

    I know that it has a cause! It happens to make the nucleus more stable. But some say it has no cause. I am confused actually.
  6. A

    I Nuclear Fusion: Radioactive Decay?

    Radioactive decay modes always release energy; but why can't nuclear fusion of light elements be a mode of radioactive decay? I guess because although such processes are exothermic, we need an inaccessible fairly high amount of energy to overcome the electrostatic repulsion barrier. But now...
  7. JackDixon

    B Beta decay and the down quark.

    I was learning about beta decay, and how a down quark decays into an up quark by emitting a W- boson which then becomes an electron and an electron antineutrino. I have two main questions - Firstly, how can the down quark be considered a fundamental particle, when it can break down to produce...
  8. XLAYZ

    A Interpretation of Bi-207 decay spectrum

    I measured the decay spectrum of Bi-207 as a beta source with scintillation detector and now I am trying to interpret the information given by the spectrum. As far as I know, the Bi-207 nuclei decay to the excited states of Pb-207 primarily via EC and a small beta+ branch, emitting beta...
  9. A

    I Forbidden decay ##\rho^0\rightarrow \pi^0\pi^0##

    Hello everybody! I have a question regarding the forbidden decay ##\rho^0 \rightarrow \pi^0\pi^0##, but it is a general doubt. My book states that one of the reasons why the decay is forbidden is Bose-Einstein statistics, the final state of two equal pions must be in an antisymmetric state...
  10. mPlummers

    I How to find the most likely modes of decay for a particle

    What are the most likely modes of decay for ##\Omega ^{-}## into 2 hadrons? ##BR_{k}=\frac{\Gamma _{k}}{\Gamma}## ##\Gamma=\frac{\hbar}{\tau }## ##\Gamma _{k}=\Gamma _{if}=2\pi \rho|<\Psi _{i}|H_{Int}|\Psi _{f}>|^{2} (E_{f})## I took a look at the Particle Data Group, and the most likely modes...
  11. A

    Solving Muon Momentum Decay: Maximizing Expression & Intuition

    My first idea was to find an expression of the muon momentum as a function of the angle and then maximaze the expression. But my attempts were not succesful. I report here my attempt. Set up (referring to the attached file "bettini.pdf"): $$ p = (\sqrt{p_k^2+m_k^2},0,0,p_k)$$ $$ k_1 =...
  12. JD_PM

    Implications of mass energy not being conserved for ##\beta^+## decay

    ##\beta^{+}## decay (a proton decays to a neutron + positron + electron neutrino) is a decay in which mass energy is not conserved. I've been taught that if that ought to be the case for a decay/reaction, it would be forbidden (please see solution manual below): But ##\beta^{+}## decay is...
  13. A

    B Radioactive decay, Stability and Halflife

    As it's written in the following article, nuclear binding energy is always a positive number; thus it takes energy to disassemble a nucleus into its nucleons. ...The binding energy is always a positive number, as we need to spend energy in moving these nucleons, attracted to each other by the...
  14. A

    I The Mystery of Atomic Decay: Is it Truly Random or is There More at Play?

    Moderator's note: This is spin-off from https://www.physicsforums.com/threads/why-randomness-means-incomplete-understanding.975227 Reading this thread I would like to point out one aspect that makes me wonder personally and has also been mentioned here by other users. The decay of atoms...
  15. M

    Calculate the energy release of an atom

    First of, I have no idea what I'm supposed to do with the neutrinos and the photons. Can somebody explain how to handle these? The rest of what I tried is quite straight forward $$\begin{align*}\Delta E &= 4M_p - M_{He} - 2 M_e + E_{\text{Neutrino and Photons}}\\&= 4M_p - (2[M_p+M_n]-E_B) - 2...
  16. W

    How Does Conservation of Momentum Apply to Particle Decay?

    Attempt at solution: By conservation of momentum: $$P = (M,0,0,0) = p_1 + p_2 = (E_1 + E_2, 0, 0,0)$$ thus $$ M = E_1 + E_2 = 2k^2 + m_1^2 + m_2^2$$ Now $$E_1^2 - E_2^2 = m_1^2 - m_2^2 = (m_1 + m_2)(m_1-m_2)$$ $$ = M(m_1-m_2) = (2k^2+m_1^2+m_2^2)(m_1-m_2)$$ Isolating k: $$ k =...
  17. K

    I Understanding the W Decay Branching Ratio to Quarks & Gluons

    Hello! In Modern Particle Physics by Mark Thomson, in the Electroweak Unification chapter, pg. 412 he talks about the branching ration of the W decay to quarks. And for this he includes both the ##W\to q \bar{q'}## and ##W\to q \bar{q'}g## i.e. the state with a gluon and 2 quarks in the final...
  18. A

    Alpha Decay and Total Kinetic Energy

    Since we are looking for K total, I summed the given kinetic energy for lead and the typical kinetic energy of an alpha particle: 0.12 + 5 = 5.12 MeV. My answer is definitely wrong, but I don't how I should approach the problem.
  19. C

    Beta Decay: 14C6 → 14N7+ e− + νe

    Problem Statement: In beta-decay, a gamma ray that is a fast moving electron is emitted due to the conversion of a neutron to a proton and an electron to increase the stability. As a result, the atomic number increases while the mass number remains the same. But when the atomic no. increases as...
  20. TheBigDig

    Energy of Two Gamma Rays Produced by Pion Decay

    So I worked out the first part and obtained ##E_1 = 478.8MeV##, ##E_2 = 459.4MeV## and ##p = 0.49 MeV/c## but I can't quite wrap my head around the second part. Normally, I'd use the equation for s but I'm confused since I don't know the angle between the gamma rays.
  21. J

    How to find the decay rate of processes: a→ b+c

    As mentioned above I'm unable to begin because I don't know the relevant equations or method.
  22. E

    I Is the Equation for Relativistic Two-Body Decay Correct?

    I was looking up stuff for relativistic two-body decay, and I came across this pdf: https://indico.cern.ch/event/391122/contributions/928962/attachments/782786/1073126/twoBodyDecay.pdf which says that because ##p_2^2=P^2−2P\cdot p_1+p_1^2## we apparently have ##m_2^2=M^2−2ME_1+m_1^2##. But this...
  23. D

    What is the branching ratio for alpha decay to Pu-237?

    I understand that In general, the branching ratio for a particular decay mode is defined as the ratio of the number of atoms decaying by that decay mode to the number decaying in total. But I can’t get this specific branching ratio.
  24. M

    I Do Photons Decay? QED Predictions & Measurements

    QED predicts photon-photon scattering, via a fourth-order Feynman diagram with four external photon legs connected to an electron loop. It seems to me that the same diagram should also predict a process where a single incoming photon decays spontaneously into three photons. This is not forbidden...
  25. K

    I Isobar states decay probabilities

    Hello! Given an excited state of a nucleon, such as the ##\Delta## baryon (and here I mean all its 4 version ##\Delta^{++}##, ##\Delta^{+}##, ##\Delta^{0}##, ##\Delta^{-}##), the decay channel is (in this case) to a pion and a nucleon. I was wondering, is the decay probability the same for all 4...
  26. Danny Boy

    A Concepts in a quantum synchronization setup

    In a https://jila.colorado.edu/thompson/sites/default/files/pdf/PhysRevLett.113.154101_0.pdf on quantum synchronization, they introduce the setup given in the attached 'Fig1.png'. I would like confirm a few concepts regarding this setup. The setup is described in the following way: The general...
  27. Dimitris Catzis

    A Temperature of beta decay radioisotope (Sr-90)

    Hi, I want to develop a Monte Carlo simulation to determine the temperature of a beta radioisotope (Sr-90) of a given mass for my master thesis in Computational Physics. I am rookie to simulations. How much time will take to develop such a code. Thnaks a lot
  28. O

    I What happens to the rest of the mass in Beta+ decay involving a W+ boson?

    In Beta+ decay, a W+ boson is created and it decays into positron and electron neutrino. Mass of W+ boson is ~ 80 GeV/c^2, however, the total mass of positron and electron neutrino is very small compared to it. So, what happens to the rest of the mass? Is it converted into kinetic energy of...
  29. dRic2

    B Thought experiment -- A radioactive decay detector and randomness

    Take one radioactive element and put a detector all around it so that you can immediately detect whenever it will undergo radioactive decay. Have a clock connected to the detector to note the "exact" instant at which the atom decays. Let's say that after 3min after the clock started counting the...
  30. J

    B Deriving Exponential Decay Equation

    Hi, I was trying to see where the equation N = No e-λt came from and it is derived from dN/dt = -λN which is discussed very well in this thread in post #2 (https://www.physicsforums.com/threads/derivations-of-the-decay-constant-equation.213312/). I understand the steps except for the reason why...
  31. S

    B Entanglement Decay of a proton pair

    Hi, Suppose I had a pair of protons that are entangled, and one or both of those protons decayed( https://en.wikipedia.org/wiki/Proton_decay ) over time, does that mean the entanglement between the protons does not exist anymore, and would it be fair to say that the entanglement decayed over time?
  32. S

    Rate of emission of alpha particle in uranium decay

    Homework Statement U - 238 is undergoing alpha emission into Th - 234. U - 238 has half – life of 109 years. Calculate the emission rate of alpha when uranium has mass of 10 grams Homework Equations A = λN A = A0 (1/2)n , n = t / half - life The Attempt at a Solution Not sure how to do it but...
  33. M

    B When does an isotope begin to decay?

    Take 60Fe found in meteorites. Does it start to decay the moment it is created. Or does it start to decay when it cools to a solid (a meteorite)? Does heat have anything to do with it? Thanks
  34. S

    Decay modes and lifetimes of hydrogen metastable states

    Protium atom has two low lying excited states with long lifetimes. These are: 2s. Decay energy would be 121 nm, but forbidden (no angular momentum difference). Fastest allowed decay is two-photon emission, lifetime 0,15 s Triplet 1s. Decay energy 211 mm. Prevalent decay single photon emission...
  35. D

    A Neutron Decay: Questions & Answers

    Hi, I have questions on the neutron decay What prevent the neutron to decay in udc or udt except mass/energy consideration ? If we do the assumption that (udc) and (udt) have the same mass than the proton (yes I know, this doesn't make sense) the three decay (p, udc, udt) woulld have the same...
  36. S

    B Can Protons Decay at High Speeds without Colliding?

    Would a proton decay into smaller particles if you accelerate it into higher speeds without colliding it into another proton?
  37. R

    Physics question about half life / radioactive decay

    Homework Statement You have 0.0625 grams of an unstable element and 0.9375 grams of the stable daughter product. How many half-lives has it undergone? Homework Equations N=No (1/2)^(t/(t1/2)) In which N represents the final activity for a period of time No is the original activity t...
  38. J

    Vector Plasma vs. Variable Radioactive Decay

    Could there be a connection between Robert Zimmermann's work (McMaster Univ. Toronto) on Vector Plasma, and Jenkins and Fischbach's (Perdue Univ.) work on variations in the rate of radioactive decay for elements on Earth in relation to solar activity? Only looking for a confirmation that their...
  39. M

    What is the equation for decay of natural sound over time?

    Let's say you have an impulse of noise, eg. via a guitar string, or a resonant bandpass filter, and it decays naturally. If "1" is the maximum initial amplitude of sound, and "0" is no sound at all, what is the equation for decay of sound over time (x)? Is it: y = 1/c^x Or y = 1/(x+1)^c I...
  40. JesW87

    B Is radioactive decay truly random?

    Before you report this, yes I do know there was already another post like this one, but I don't feel like it fully answered the question. Note that I really don't know anything about quantum anything, but I'm trying to do some reading up on "randomness" and the consensus seems to be that this...
  41. C

    I Why is Proton Radiation this Rare in Nuclear Fission Decay?

    The atomic nuclei consist out electrons, protons and neutrons (with only exception of hydrogen, that does have a neutron). Thus, it would be straightforward, that there existed a corresponding radiation for each nucleus component, when a nucleus decays. There is an electron radiation (beta...
  42. zehkari

    Relativistic momentum of two photons from a decay

    Homework Statement Homework Equations (1) E2 = p2c2 + m02c4 (2) E = γm0c2 (3) E = Eγ1 - Eγ2 (4) p = E / c (5) E = hf (6) λ = c / f The Attempt at a Solution a) Using eqn (1), rearranged p = (E - m0c2) / c , I obtained 2.9 MeV c-1. Not sure if I have the right answer here as I...
  43. Peeter

    Calculating the decay rate for h -> phi phi process

    Homework Statement Given a coupling h \; \partial_\mu \phi^a \partial^\mu \phi^a , meant to model the first order interaction of the Higgs field h to boson fields \phi^a , compute the width \Gamma(h \rightarrow \phi^3 \phi^3) of the Higgs particle to decay to two longitudinal (say)...
  44. Flabbergast

    Standard deviation and probability for decay

    Homework Statement (b) A nuclear research reactor produces radiation for neutron scattering measurements. A safety procedure shuts the reactor down if a radiation level monitoring detector measures more than 3 counts per minute. In a test, 156 counts are recorded during a random 24 hour...
  45. S

    Kinetic Energy for particles (alpha decay)

    Homework Statement Many heavy nuclei undergo spontaneous "alpha decay," in which the original nucleus emits an alpha particle (a helium nucleus containing two protons and two neutrons), leaving behind a "daughter" nucleus that has two fewer protons and two fewer neutrons than the original...
  46. A

    B Radioactive decay characteristics as measured by a dosimeter

    If I put a dosimeter 1 meter away from a gamma sample that starts decaying at the moment I switch on the dosimeter then how would I measure the dose level received by the dosimeter, would it gradually decrease over the first half life or would it stay the same throughout the first half life...
  47. Mahavir

    Understanding Decay Schemes: A Guide to Interpreting Energy Levels and Symbols

    Apologies for this question, but I'm trying to understand what I'm looking at here and was unable to find an answer online. From my understanding, this is a decay scheme that shows the percentage of each energy level at which the disintegrated mother nucleus has reached after the...
  48. W

    Recoil Proton Momentum Spectrum in Neutron Decay

    I wish to draw the proton momentum spectrum by transforming the energy spectrum of recoil protons. I have calculated the energy spectrum using Nachtmann's spectrum: wp=g1[T]+a*g2[T] Where: g1[T]=(1 - x2/σ[T])2 * Sqrt[1 - σ[T]] * (4*(1 + x2/σ[T]) - (4/3*(σ[T] - x2)/σ[T])*(1 - σ[T])); g2[T]=(1 -...
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