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. Naeem Anwar

    Relative Angular Momentum in 2 Body Decay at Detector Level

    How the relative angular momentum of two particles can be detect by detector in two particle decay (center of mass frame)? I am curious about the signatures/differentiation between different relative momenta, means how one can decide that it is L=0, L=1,2,3,...? Of course the distribution would...
  2. M

    Help! Troubleshooting Nuclear Decay Equations

    I'm sorry for posting this another thread, but I accidentally posted under to wrong forum initially and could not figure out how to delete it :-(1. Homework Statement Find the missing isotope: Iodine-127 (n, alpha) My answer is Sb- 122 but it was wrong. Also, how would I go about finding the...
  3. A

    \eta\to\pi^0\gamma decay (Why this decay is forbidden by J?)

    Decay \eta\to\pi^0\gamma is forbidden by C parity. But why this decay is also forbidden by statistics (J)? pi^0 spin is 0 photon spin is 1 But there are can be different situations with full orbital angular momentum of pi^0\gamma. J=L+S and must be 0. Look like L is 0. But why? Why we can't...
  4. U

    Psi Meson Decay Modes: Spin, Parity, Quark Content & More

    Homework Statement (a) Explain spin and parity of mesons (b) State their quark content (c) Draw a feynman diagram of J/psi decay (d) Why doesn't ##\chi## undergo leptonic decay? (e) What is the minimum centre of mass? [/B] Homework EquationsThe Attempt at a Solution Part(a)[/B] Spin is...
  5. Safinaz

    What is the Correct Factor in the Kinematics of Two Body Decay?

    Hi there, In a two body decay process like ## B \to l \nu ##, there is a factor ##| \bar{l} (1-\gamma_5)\nu|^2 ## in the matrix element amplitude, in which equals ##| \bar{l} (1-\gamma_5)\nu|^2 = (/\!\!\! p_l+m_l) (1-\gamma_5) /\!\!\! p_\nu(1+\gamma_5) = 2(/\!\!\! p_l+m_l) /\!\!\...
  6. U

    Nuclear Decay - Semi Empirical Formula

    Homework Statement (a) What processes changes atomic number by 1? What are the favourable conditions? How do you tell a neutrino is involved? How can we use this to understand the mass of this particle? (b) Use semi empirical mass formula to explain why odd-odd isobars are unlikely, while...
  7. U

    Cobalt decays to Nickel - Why is this suppressed?

    Homework Statement (a) Show maximum energy transferred in compton scattering is as such. (b) Identify what the peaks are and why some decays are suppressed. (c) How do you distinguish between these 2 decays[/B] Homework EquationsThe Attempt at a Solution Part(a) Bookwork. For completeness...
  8. Safinaz

    Calculation of B to l nu decay width

    Hi, 1. Homework Statement In the calculation of the matrix element amplitude of ## B \to l \nu ##, I got a factor ## \bar{l} (1-\gamma_5)\nu ## as in [hep-ph/0306037v2]. For ##|M|^2## I made : ##| \bar{l} (1-\gamma_5)\nu|^2 = (/\!\!\! p_l+m_l) (1-\gamma_5) /\!\!\! p_\nu(1+\gamma_5) =...
  9. Garlic

    Neutron Isomerie: Can Neutronium Have Metastable Stage?

    Hello everyone, Can a hadron be in an excited stage? If yes, can neutrons -the element- neutronium have a nuclear isomer in a metastable stage, making it have a longer half life?
  10. U

    How to Determine the Lifetime of Rho Meson and Kaon?

    Homework Statement (a) What is a meson? (b) State what these mesons are made up of and explain their quantum numbers and interactions. (c) Find the lifetimes of rho meson and kaon. (d) Find the dominant decay mode and explain why. (e) Why is decay to 2 neutral pions forbidden? (f) Explain how...
  11. U

    Tau leptonic decay - Lifetimes and modes

    Homework Statement [/B] (a) Explain lepton universality. (b) Explain why decay mode is forbidden and find hadronic branching ratios. (c) Find the lifetime of tau lepton. (d) What tau decay mode would be suitable? (e) Find the precision. (f) How do you improve the results? (g) Why is it much...
  12. U

    Why is this tau decay not allowed?

    Why is the decay ##\tau^{-} \rightarrow \mu^+ + \mu^- + \mu^-## not allowed? Charge, lepton number are conserved. I have a feeling it is something really basic. I'm thinking in weak interactions you only go from a ##l^- \rightarrow \nu_{l}## and not 'hop' from one muon to another non-neutrino muon.
  13. Z

    What is the total decay rate of N(1875) from the particle data group?

    From particle data group,(http://pdg.lbl.gov/2014/listings/contents_listings.html) I can see the decay branching ratios of N(1875),but the total width is not found.The "Breit Wigner width " are very different.So my question is ,How do they get the branching ratio without a certain total width?
  14. S

    Estimating Half-Life of Alpha Decay: Nucleus ##^{252}_{98}Cf##

    Homework Statement Nucleus ##^{252}_{98}Cf## alpha decays with half life time ##t_{1/2}=2.6## years. What is the velocity of the alpha particle after the decay? Estimate the half life time of the nucleus after the decay. Homework EquationsThe Attempt at a Solution Ok, no worries about the...
  15. S

    Energy Balance of Beta+ Decay of $^{22}_{11}Na$

    Homework Statement If we have a beta + deca: $$^{22}_{11}Na(3^+)\rightarrow ^{22}_{10}Ne(2^+)+ e^+ +\nu $$ with $t_{1/2}=2.6 years$, what is the energy balance at this decay, if you know that $^{22}_{10}Ne(2^+)$ is an excited state of $^{22}_{10}Ne$ with $1.25 MeV$ larger energy. Homework...
  16. R

    Beta+ Decay or Electron Capture?

    Homework Statement Homework Equations See below. The Attempt at a Solution We have β+ decay ##X_{Z}^{A} \rightarrow Y_{Z-1}^{A}+ e^{+}+\upsilon _{e}## which leads to the mass condition ##M(A,Z)>m(A,Z-1)+2m_{e}##. We have electron capture ##X_{Z}^{A} + e^{-}\rightarrow Y_{Z-1}^{A}+ \upsilon...
  17. P

    Radioactive decay, need to find half life

    Homework Statement The number of radioactive nuclei in a particular sample decreases over a period of 26 days to one-fifteenth of the original number. What is the half-life of the radioactive material, in days? Homework Equations R=DN/Dt=(lambda)(N)=(N)(ln2/T1/2) The Attempt at a Solution...
  18. binbagsss

    W+ decay modes neglect mass branching ratiosQ

    Homework Statement The question is that the decay modes for the ##W+## boson are , ##e^+ v_{e}, \mu^+ v_{\mu}, \tau^+ v_{\tau}, ud', cs' ##, where a ' denotes a anitquark, neglecting the masses of the decay products estimate the branching ratios of the ##W+##? Homework Equations N/A The...
  19. R

    Quick question on the mass condition for beta decay

    For β- we have: ##M(A,Z)>M(A,Z+1) + m_{e} - m_{e}## An electron is removed from the atom and therefore we need to take that away from the M(A,Z+1) term But for β+ we have been given: ##M(A,Z)>M(A,Z+1) + m_{e} + m_{e}## What is this saying? A positron is emitted, therefore shouldn't we minus...
  20. U

    Why is this decay allowed and another not?

    Consider ##\Sigma^0 \rightarrow \Lambda + \pi^0##. (Not Allowed) According to griffiths, this strong interaction is not allowed by 'Conservation of Energy'. I'm not sure why, as this simply shows an up and anti-up quark coming together, producing a gluon, where mass of gluon is mass of up and...
  21. binbagsss

    Weak decay, decay rate, colour-supressed and colour-allowed

    My textbook says: One of the decays occurs via a ## b \to c ## quark transition and is 'colour-allowed'.(Left of diagram). The other decay has a of ## b \to c ## and is 'colour-suppressed'.(Right of diagram) I'm unsure of what is meant by these terms, it doesn't really explain. I've...
  22. Phynos

    Relativistic kinetic energy - particle decay

    Homework Statement A pion at rest (mπ = 273me) decays into a muon (mμ = 207me) and an antineutrino (mn ≈ 0). Find (a) the kinetic energy of the muon and (b) the energy of the antineutrino in electron volts. Homework Equations K = (γ-1)mc2 E = γmc2 ER = mc2 E2 = p2c2 + (mc2)2 I didn't...
  23. Safinaz

    The amplitude of B decay into tau neutrino

    Hi there, In Reference as hep-ph/0306037v2, we see the effective Hamiltonian of ## B \to l \nu ## equ. 1, which has the SM and the NP parts. In equ. 4, it seems that ## m_l ## comes from ## P^\mu_B ## equ. 3. The question that how ## P^\mu_B ## yields ## m_l ## ? Where ## P^\mu_B = ( E_B, 0...
  24. B

    Find area under a decay curve if half life is increasing

    Area under decay curve exp(-0.6969t/h) where t is the time (with t=0 initially) and h is a constant "half life" is analytically integrable, but what if the half life is increasing with time? I. e. if h(t) = H + at. (Note exp(-0.6969) is not exactly 0.5 but close and easy to remember.) This...
  25. Safinaz

    BR of semileptonic B meson decay

    Hi there, In a reference as 1303.5877v1 [hep-ph ] the SM branching ratio of ## B \to \tau \nu ## is given by: ## \frac{m_B G_F^2 m_\tau^2 \tau_B f^2_B } { 8 \pi } V_{ub}^2 ( 1 - \frac{m_\tau^2}{m_B^2} )^2 ## . In the SM model the value of this BR ## \sim 0.7 \times 10^{-4} ## . But I don't...
  26. Greg Bernhardt

    Paper: Attention decay in science

    Wonder if our resident researchers and scientists feel this way? http://arxiv.org/pdf/1503.01881v1.pdf
  27. binbagsss

    Possible decay states strong interaction, parity conservation

    The question is for which of the ##1P## meson states - ##1^{1}P_{1}, 1^{3}P_{0},1^{3}P_{1}, 1^{3}P_{2} ## ##D_{s}## states decaying to a ##1S## state is the decay: ##D_{s}**^{+} -> D_{s}^{+}\pi^{0} ## possible? Solution So the strong interaction conserves parity. Parity of meson is given by...
  28. M

    Is it possible to produce the inverse of a decay?

    Is it possible to produce the inverse of a natural radioactive decay? If yes, what would happen? Release energy?
  29. W

    What is mass of particle X before the decay?

    Homework Statement Professor X, a nuclear physicist who works at the MSU FRIB facility, has designed a new particle detector called The da Vinci Decoder. Using this detector, she has discovered a new particle dubbed particle X that violates lepton number conservation. A stationary X is observed...
  30. A

    Simple question on W boson decay products

    Hi, I'm working on an assignment in which the following reaction takes place: \nu_e e^- \rightarrow \nu_e e^- And I'm wondering whether its possible to have an electron neutrino and an electron annihilate to form a W^- boson, after which that boson decays into a \nu_e e^- pair...
  31. R

    Muon Decay: Special Relativity WS#1 Homework

    Homework Statement [/B] 1.) A muon is created by a cosmic ray interaction at an altitude of 60km. Imagine that after its creation, the muon hurtles downward at a speed of 0.998, as measure by a ground-based observer. After the muon’s “internal clock” registers 2.0μs , the muon decays? a.) If...
  32. N

    Does radioactive decay slow in a particle accelerator

    I am a non physicist-scientist, but landed here searching the internet for this answer. Has it ever been done? Thank you for any answers.
  33. N

    Modeling Radioactive Decay: Solving an IVP for a Series of Three Elements

    1. The Problem Construct a mathematical model (system of differential equations) for a radioactive series of 3 elements. X,Y, and Z (Z is a stable element). (Note: W decays into X, X decays into Y, and Y decays into Z). At time zero there are 100e (approx. 271.828) moles of element X. After two...
  34. V

    What exactly does it mean for an isotope to be stable?

    The basic "nuclear physics for dummies" explanation of nuclear physics goes something like this: There are two dominant forces at play in atomic nuclei: the residual strong force (aka the nuclear force) which binds nucleons together and the electromagnetic force (or, more simply, the...
  35. Safinaz

    What Causes the Observed Excess in the Semileptonic Decay Rate of B Mesons?

    Hi there, Since some time I started to study the semilptonic decay of B meson : ## B \to D \tau \nu ## that there is an excess in the value R (D) = ## \frac{ Br ( B \to D \tau \nu) } {Br (B \to D l \nu) } ## in BABAR experiment than the SM expectations- See for example arXiv:1302.7031v5- Now I...
  36. Safinaz

    Partial decay width in Mathematica

    Hi there, I have a a partial decay width in form of ## \frac{d \Gamma}{d \cos{\theta}~ dq^2} = ## some terms functions in q and ## \theta ## variables. How to integrate this decay width in Mathematica over this two variables ? I tried some thing like j[q_]:= ## \int_{1}^{-1} ## Gam[q, ##...
  37. H

    What is the percentage of Cs137 decays that result in a gamma ray emission?

    So I have a problem where I'm given the decay rate of a sample which contains Cs137, 10 mCi, and I'm basically given the percentage of radiation detected by the detector. But the wording of the question is: "What count rate would be observed in a perfectly efficient gamma detector" Sounds to...
  38. Evanish

    Is magnifying thermal power density possible with decay heat

    Recently there was an interesting thread on physics forum about possible uses of spent nuclear fuel. It seems to me that one of the problems with using decay heath from spent nuclear fuel is the low power density. This got me thinking that maybe with enough insulation the low quality heat...
  39. M

    Photon-photon collisions and photon "decay"

    Hello. I want to play around with the process of one photon splitting into more lower energy photons and vice versa. As I understand it one can quite easily make a Feynman diagram of a photon splitting into two lower energy photons by interacting with virtual electron/positrons. And also the...
  40. S

    Guess Decay Modes: A, Z, Mass Diff MeV

    how can we guess the possible decay modes for an element with three given quantities: A, Z and mass difference in MeV
  41. 1

    Angle of photon emission from particle decay (Particle Phys)

    Homework Statement a) Particle A decays at rest into two photons. Calculate, in terms of the rest mass of A, the energy and momentum of each photon. b) In a different reference frame, particle A is initially in motion such that its kinetic energy is equal to its rest energy. Find the momentum...
  42. P

    Solving a Radioactive Decay Problem: C is the Answer

    Homework Statement Homework EquationsThe Attempt at a Solution i believe that a half-life of several years is too long to gather the data but i can't figure which of the 2 emitter and why? the answer is given to be C
  43. P

    Nuclear Physics - Uranium decay chain and Bateman equation

    Homework Statement Calculate the activity of ##^{222}Rn## in an ore sample containing 5g of natural uranium. Homework Equations ##^{238}U## decay chain (to Radon): ##^{238}U\rightarrow^{234}Th\rightarrow^{234}Pa\rightarrow^{234}U\rightarrow^{230}Th\rightarrow^{226}Ra\rightarrow^{222}Ra##...
  44. T

    Radioactive decay question, how to do it?

    1. The half-life of 238 92U is 4.5 × 109 years, which is much larger than all the other half-lives of the decays in the series. A rock sample when formed originally contained 3.0 × 1022 atoms of 238 92U and no 206 82Pb atoms. At any given time most of the atoms are either 238 92U or 206 82Pb...
  45. U

    Fermi Golden Rule - Beta Decay

    We consider the following beta decay: ^A_ZX \rightarrow ^A_{Z+1} Y + e^{-} + \nu_e The Fermi golden rule is given by: \Gamma = \frac{2\pi}{\hbar} |A_{fi}|^2 \frac{dN}{dE_f} Reaction amplitude is given by ##A_{fi} = G_F M_{nucl} ## while density of states is given by ##dN = \frac{4 \pi...
  46. B

    Electrical neutrality in radioactive decay

    Although it was drummed into me that electrical neutrality is preserved, I am perplexed by the phenomenon of radioactive decay. How is electrical neutrality maintained when electrons (beta particles) and proton-neutron sets (alpha particles) are being spit out by some elements. These particles...
  47. J

    Understanding the Bohr Model and Electron Decay

    Hi, I'm really struggling to comprehend how the Bohr model solves the problem of accelerating electrons losing energy and decaying into the nucleus. I've read through a lot of discussions on line and on PF and all I keep on reading is stuff like, the quantization of energy levels leads to a...
  48. CivilSigma

    Is the decay constant , constant for all isotopes of element

    I have this true and false question: " The half life and therefore the decay constant will be the same for every isotope a) True b) False c) only if it is an isotope of the same element " I think this is false, just by intuition.
  49. S

    Radioactive Decay: Analyzing 1000 Events at 5% Risk Level

    Homework Statement Analyzing 1000 events (each event is one radioactive decay of an unknown sample), we notice that the time between two consecutive events is larger than 1 second in 30% of the cases while in 5% it is longer than 2 seconds. Can we, at 5% risk level deny the hypothesis, that the...
  50. Z

    Is decay spectrum continuous or discrete?

    For a definite particle,the decay mode is determinant,finite kind,which embody the characteristic of quantum mechanics. But for a specific mode of a definite particle's decay,the decay spectrum,ie,energy of products,continuous,or discrete? Decay is a process which has unique initial...
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