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. Greg Bernhardt

    What is the Process and Mathematical Explanation of Radioactive Decay?

    Definition/Summary Radioactive decay is the process in which an unstable atomic nucleus loses energy by emitting radiation in the form of particles or electromagnetic waves. This decay, or loss of energy, results in an atom of one type, called the parent nuclide transforming to an atom of a...
  2. N

    Radioactive Decay Experiment Ideas | Shielding Variables

    Hey Everyone, Just wondering what would be a good experimental investigation involving a radioactive source and the shielding of it. Simple ones I was thinking about were the effects of changing the distance the shield is from the source, the material of the shield and also the thickness of the...
  3. FilupSmith

    Question about the exponential growth and decay formula

    [I don't know if this is in the right topic or not so I hope I'm all good] My question is related to the exponential growth and decay formula Q=Ae^(kt). Simply, why is the value e used as the base for the exponent? Does it have to be e? If so, can anybody tell me why? Thanks~| FilupSmith |~
  4. anorlunda

    Free neutron vs bound neutron decay

    I was curious as to the difference in free neutron decay and the lack of decay when bound in a nucleus. I found the following statement here http://en.m.wikipedia.org/wiki/Neutron#Free_neutron_decay I don't understand that. Is the wave function of the neutron different when free or bound...
  5. M

    Why Does Rb87 Decay to Sr87, Not Rb85?

    I'm new here and have a very basic question that I haven't been able to see answered here or elsewhere, so forgive the banality if this seems trivial. I understand Rubidium has a "normal" atomic weight of 85 and often exists as its isotope Rb87. When Rb87 decays, why doesn't it decay to...
  6. avito009

    Uranium 236: Stability and Decay

    If uranium 238 is more stable than uranium 235 because 3 extra neutrons add to strong force then uranium 236 having 1 extra neutron should have more strong force than uranium 235 so why does it decay so fast and why is it more unstable than uranium 235?
  7. I

    How Do Decay Modes Affect Isotope Dating Accuracy?

    When I opened up the "High Energy,Nuclear,Particle Physics" section, it was kind of like "Holy $#^*!- I don't know what any of the words mean!" I'm here because I don't know what I'm talking about. Also, I'm not sure if this is the right area of the site for this particular question. So...
  8. P

    Can Tritium Undergo Nuclear Decay in 1 Second or 1 Eon?

    For example tritium has a half life of of 12.3 years. So if you had 2 atoms of tritium then after 12.3 year you would expect to have 1 atom of tritium and 1 atom of h-3. My question is, is it possible that tritium could decay in 1 second? Or how about 1 eon? I know its not probable but is it...
  9. C

    What kinds of particles can decay to Lambda hyperons?

    Such as ##\Sigma^0 \to \bar{\Lambda}\gamma\gamma##. I want to make a complete collection of all these decay modes, i.e. ##X \to \Lambda / \bar{\Lambda} + \cdots##. At least some major channels.
  10. C

    How the two-body decay momentum distribution transform in lab frame?

    For two-body decay, in the center of mass frame, final particle distribution is, $$ W^*(\cos\theta^*,\phi^*) = \frac{1}{4\pi}(1+\alpha\cos\theta^*) $$ We have the normalization relation , ##\int W^*(\cos\theta^*,\phi^*)d\cos\theta^* d\phi^*=1##. And we also know that in CM frame ##p^*##...
  11. F

    Any real life demonstrations of radioactive decay?

    I'm skeptical about a some things in physics as some things are hard to understand, or I need to see proof to believe it. I find that for physics, it helps a lot to see a real life demonstration (video) of what's being explained. I understand the whole radioactive decay thing, but I have not...
  12. S

    Poisson distribution (radioactive decay)

    Homework Statement I am a freshman in physics, just done a lab about radioactive decay. I've measured the # of beta particles per second 400 times and got the frequency of each number K using Excel. I'm supposed to take the data and fit it to a puason distribution in MATlab. The data points...
  13. F

    MHB Interpreting Constant A & Deriving k in Air Pressure Decay

    hey guys! I'm really confused as to what this question is trying to ask me! can someone help me out :) Air pressure decays approximately exponentially at about 0.4 per cent for each rise of 30 metres above sea level. If we let p = p(h) denote air pressure (measured in some appropriate units) at...
  14. S

    Imaginary free energy and decay rate

    In euclidean quantum field theory, the imaginary part of the free energy, defined as the logaritm of the partition function, is it connected to the decay rate?
  15. R

    Decay of a proton into a positron and a neutral pion

    p -> e+ + pi° is >10^33 years. what conservation law does this limit test? p is uud pi° is uu or dd where the second quark of each is an antiquark baryon number is not conserved 1 = 0 + 0 charge is conserved lepton number is not conserved 0 = -1 + 0 not sure what this...
  16. L

    Hawking Radiation and the Decay of Black Holes

    Hawking Radiation and the "Decay" of Black Holes I have been doing a lot of reading and thinking about certain quantum mechanics so that I can try and wrap my head around how it all works. However I have come upon something that I cannot find a good explanation for. I was reading about...
  17. C

    Can one electron decay into an electron plus a phonon?

    In a metal, can one electron decay into one lower-energy electron plus one phonon? (i.e., can the attached Feynman diagram occur?) If we replace phonons by photons and consider the process in a vacuum, I guess this is prohibited because you can always boost to a frame where the incoming and...
  18. D

    How Can We Measure the Decay Rate of Uranium-238 Given Its Long Half-Life?

    I have a really basic question about radioactive decay. If it takes 4.4 billion years for uranium-238 to decay into thorium-234, how can the decay rate be measured? What intermediate activity is taking place that would give an indication of the time it would take an atom to decay into the next...
  19. T

    Momentum Formula for Alpha Decay

    [Mentor's note: this thread does not use the standard homework-help template, because it was started in one of the non-homework forums. It was moved here because it had already gotten some help.] Hi everyone. This isn't a homework question, as I am just revising notes for my exams, and after...
  20. Safinaz

    Off-shell Particle Decay: Does Mass Affect Cross Section?

    Hi all, I think that the off shell decay dosn't decrease the decay cross section, I mean if a particle X decays into a jet pair has mass for example Mjj ~ 130 GeV, being X has mass M ~ 130 GeV so decay in resonance or on shell into jj or being MX even much greater ~ 2000 GeV , this...
  21. R

    Finding Particle Combinations for Conservation Laws

    Write down a reaction by which a K+ can be produced in a proton-proton collision and give the quark content of each particle involved. Conservation of energy, charge, baryon number, lepton number, strangeness and isospin How do I go about doing this? it has already given the p + p...
  22. V

    Nuclear decay of a mixture of P and S. (2009 USAPhO Question A2)

    The answer is not provided by AAPT. Homework Statement A mixture of ^{32}P and ^{35}S (two beta emitters widely used in biochemical research) is placed next to a detector and allowed to decay, resulting in the data (attached) below. The detector has equal sensitivity to the beta particles...
  23. majid313mirzae

    Alpha & Proton Decay: Explaining Unequal Rates

    All nuclei with A > 210 are alpha emitters, yet very few emit protons spontaneously. Yet both decays lower the Coulomb energy of the nucleus. Why is proton decay not more common?
  24. vanceEE

    Radon-226 Decay: Half-Life of Radium-226

    "Radium-226 has a half-life of 1,620 years, which means that half of a given sample of radium-226 will decay into lead by the end of 1,620 years. In the next 1,620 years, half of the remaining sample will decay into lead, leaving one-fourth of the original amount of radium-226."(1) Wouldn't...
  25. Q

    A question about kaon masses and decay widths

    Homework Statement Ok, so I need to make a software that will simulate a neutral kaon system, and I only have the following data about the masses and decay widths: gammaS = 580*gammaL {S = short lived state, L = long lived state} mS - mL = 0.477*gammaS Homework Equations How...
  26. Q

    What is Decay Width & Its Relation to Particle Lifetime

    What is the Decay Width of a particle and how is it related to the particle's lifetime ?
  27. C

    Updates: DMSO Decay After 18 Years - Share Results & Experiences

    I saw the thread called Decay/Reactivity of DMSO and it was closed. Since the thread was inconclusive I have decided to share my results. After approximately 18 years my 99.9% DMSO has completely decayed. When this happens it will no longer crystallize in the refrigerator. It will lose all...
  28. mudweez0009

    Natural Circulation and Decay Heat

    Homework Statement I am having issues with some problems relating to a plant theoretically shut down on natural circulation, and calculating the core ΔT and natural circulation flow rate.. Can anyone provide some equations or theory I could use to assist me? I'm not familiar with this...
  29. kelvin490

    Net Charge of Daughter Atoms in Radioactive Decay: Does it Always Change?

    I would like to ask will the daughter of a decayed particle carries net charge? For example, after beta negative decay will the daughter atom carries net positive charge and in an alpha decay the daughter carries net negative charge? I search many textbooks and none of them mention about the...
  30. C

    Pion Decay into Gamma rays angle

    So i have a question regarding a homework question I'm working on which suggest a neutral pion traveling with velocity v decays into two gamma rays of equal theta to the normal and they of course have velocity c. It then asks to prove that v= cos theta Which kind of confuses me. I mean if...
  31. S

    How Does the Decay Constant Influence Water Flow in Exponential Decay Models?

    When modelling exponential decay in class we did a water flow through a burette experiment. We were given the equation V(t)= V0 e^-λt and ln(V0/V)=λt Where lambda is the decay constant, V0 is the initial volume and V is the volume at any time t. What does the decay constant actually tell you in...
  32. N

    Solve for v2Plutonium-239 Decay: Find Speed of Uranium-235

    Homework Statement A plutonium-239 nucleus at rest decays into a uranium-235 nucleus by emitting an alpha particle (4He) with kinetic energy of 5.15 MeV. Find the speed of the uranium nucleus. The Attempt at a Solution How should I approach this problem? m1v1=-m2v2
  33. R

    When determining if a decay is possible, is there a method to use?

    Hi, I'm in the process of revision for upcoming exams, one likely question will give a number of decays (~5) and ask if they are possible. I understand baryon number, lepton number (and parity, isospin, and strangeness) must be conserved, but for example for the following: K+ -> neutral...
  34. G

    Solving Spin of Decay Product: A→B+C+D

    A spin 1/2 particle A undergoes decay A→B+C+D Where it is known that B and C are also spin 1/2. The complete set of allowed values of spin of D It was a Multiple Choice Question and options given were 1) 1/2,1,3/2,2,5/2,3,... 2) 0,1 3) 1/2 only 4) 1/2,3/2,5/2,7/2,... I tried the...
  35. J

    How Many Bananas to Power a Light Bulb?

    Homework Statement If all of the energy from decay of the 40-K in one banana could be captured and converted into electrical energy, how many bananas would be needed to power a 100 W light bulb? There is 358 mg potassium-K per 100 grams of banana half life of potassium-40 is...
  36. LotusTK

    Homework Question - Beta and Alpha decay

    Hi, i am new here. Thought it would be good to sign up as i have just started hitting the books in preparation for my AS Level exams. So this is my first question. I think i may have done this question correctly, but i was just seeing what other people think as i am not 100% sure about it...
  37. F

    Radioactive Decay - working out activity

    Homework Statement If you have 500g of Thorium-234 at t=0. Calculate the initial activity and the activity after 2 weeks. The half life of thorium-234 is 24 days. Homework Equations A=A_0e^{-\lambda t} \\ A_0=\lambda N_0 \\ \lambda=\frac{ln2}{t_{\frac{1}{2}}} The Attempt at a Solution For the...
  38. B

    Another Modeling Growth and Decay Problem

    Homework Statement Consider an item that is initially sold at a market price of $10 per unit. Over time, market forces push the price toward the equilibrium price, $20, at which supply balances demand. After 6 months, the price has increased to $15. the Evans Price Adjustment model says that...
  39. B

    Modeling Growth and Decay Problem

    Homework Statement Suppose water leaks out of a barrel at a rate proportional to the square root of the depth of the water. If the level starts at 36 in. and drops to 35 in. after 1 hour, how long will it take for all the water to leak out of the barrel? I have to choose and implement a...
  40. T

    Beta Decay Q&A: Quarks, W Bosons & More

    In beta decay, is the W boson created by the change of a quark or does it cause the change? Also, I don't fully understand where the W bosons come from or how they are created. If someone could please explain this to me, I'm very confused.
  41. M

    Can this diagram make any sense? [counts of alpha decay]

    Hello all you physics folks, this is my first post, so if I screw this up, go easy on me :) Here's the problem I'm working on and that I simply can't get my head wrapped around: I have a table of 10 values of counts per second (cps) of alpha decay of Americium-241, depending on the...
  42. C

    Particle Decay: Radioactivity & Reversibility

    In the process of particle decay (eg carbon-14 ---> nitrogen-14), is there any relations with radioactivity? Is it reversible? ( up quark + 2 x down quark + W positive boson = down quark + 2 x up quark + electron, so that carbon-14 turns to nitrogen-14. Is it possible that down quark + 2 x up...
  43. P

    Calculating Decay Constant and Amount of Thorium Plated

    Homework Statement A small quantity of the thorium isotope Th(A=228, Z=90) (half-life 1.913 y) is prepared and electroplated onto a thick sheet of copper and overcoated with a thin film of gas-tight polymer. The plating and coating are both thin enough so that none of the alpha particles...
  44. D

    Understanding products of triated water decay

    Figured this was more a chemistry question than nuclear question, so I put it here. When an atom of tritium in ^{3}_{1}H_{2}O decays, it becomes ^{3}_{2}He^{1+} + e^{-} + ^{3}_{1}HO This then quickly becomes ^{3}_{2}He + ^{3}_{1}HO I'm a little confused about the hydroxide. It needs...
  45. R

    How to determine the decay mode probability of a pion

    Hi, Given the initial energy of a pion is it possible to calculate the probability and mode of its decay? Ive looked everywhere for a relevant formula but everywhere simply states the probability and mode... Wiki "The primary decay mode of a pion, with probability 0.999877, is a purely...
  46. P

    How Can Radioactive Decay and Distance Formulas Be Combined in Physics?

    The formula for radioactive decay over time is N = N0eλt . The formula for how many number of atoms counted by the Geiger as distance (x) changes is C = k/x2. How can I merge these formulas to give one that accounts for distance and time? Secondly, how does the second formula work...
  47. Saitama

    Calculate Probability of Decay Using Decay Constant ##\lambda##

    Homework Statement Knowing the decay constant ##\lambda## of a nucleus, find the probability of the decay of the nucleus during the time from 0 to ##t##. Homework Equations The Attempt at a Solution I don't know where to start from. I know that the decay is first order and the...
  48. S

    Does decay of particles give evidence of time being real?

    Consider our universe but with only two particles, say two protons. Inevitably they would orbit mutually about one another. As such, the time evolution of this trivial system would be cyclic, forever repeating their monotonous movement. This suggests that time is not absolute. It may not even be...
  49. S

    Tunneling from Rectangular barrier - Exponential Decay ?

    Tunneling from Rectangular barrier - Exponential Decay ?? Consider the Rectangular Potential Barrier. If one solves bound state Problem in this case, wavefunctions of Exponentially Decaying and rising kind are found for the Region in the Barrier. ψ = A eαx + B e-αx Yet Most Books and...
  50. R

    What is the energy of photons in pion decay at rest?

    Apologies, this is going to be a bit disjointed, I don't want to write the full question down as I don't want anyone to give me a solution as its an assignment question. 1. am i correct in assuming when a pion decays at rest its energy will be given by: E^2 = p^2 c^2 + m^2 c^4 which...
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