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. O

    Why do magnetic fields decay exponentially with depth in a conductor?

    Homework Statement I am a HS student researching the penetration depths of magnetic fields in conductors. Specifially, I am investigating the exponential decay of eddy currents induced within a conductor in the presence of a rapidly changing magnetic field. I am a bit confused as to why the...
  2. R

    Luminescence decay kinetics with bimolecular terms

    Hi I wonder if anyone could help me with this. I'm studying a crystal whose luminescence is excitonic in nature. Since the excitation density is high (with femtosecond laser pulses) exciton-exciton interactions have to be taken into account. The following kinetic equations are used to...
  3. L

    How Do Lambda and Beta Relate in the Exponential Decay of Foam?

    Hello, Suppose you observe some foam. The foam is formed by a set of bubbles, and each bubble blows up after a random time. The density function of the time each bubble will take to blow up is probably exponential, with rate lambda. The total amount of foam (Q) must also decay exponentially...
  4. C

    Differential equation with twosided decay exponential

    Homework Statement Solve y''(t) - k^2 y(t) = e^{-a|t|} where a and k are both positive and real. Homework Equations The solution was obtained trough a Fourier transform. The Attempt at a Solution I got the solution y(t) = \frac{ke^{-at} - ae^{-kt}}{k(a^2 - k^2)} but when i...
  5. P

    Binding energies and decay energy.

    I'm having some trouble with the definition of binding energy and decay energy. Consulting a nuclide table (http://atom.kaeri.re.kr/ton/nuc5.html) I found out that 53Fe has a binding energy of 458380.194 +- 2.107 keV and decays to 53Mn by electron capture. The decay energy is 3.743 MeV and...
  6. Simfish

    How exactly does the pion decay through the weak force?

    So the pion(+)n is made up of an up quark and a down antiquark. And somehow, it emits a W+ boson, which then turns into a muon and a muon-neutrino. From the Wiki article, "W bosons can decay to a lepton and neutrino or to an up-type quark and a down-type quark." Does this mean that the...
  7. M

    Better Model for Radioactive Decay

    For the basic model for exponential decay, there is a decay constant, which is related to the half-life. The decay constant multiplied by the number of particles should give the decay rate per second (activity). However, the model I want is for small periods of time. For a small enough period of...
  8. A

    Understanding W Boson Decay: Exploring Quark Pair Possibilities

    Hey Guys, Just a quick question. Can a W boson decay to a u and anti s or does it have to decay to a quark and anti-quark of the same generation? Thanks!
  9. A

    Decay of a D Meson to K[SUP]+[/SUP] and [tex]\Pi[/tex][SUP]-[/SUP]

    Homework Statement Hi guys, I have been given the problem of drawing the feyman diagrams and finding the decay rates for the two decays: D0 \rightarrow K+ + \pi- and D0 \rightarrow K- + \pi+ D0 \rightarrow \pi- + \pi+ Homework Equations The coupling constant g = 10^-5 for the weak...
  10. D

    Is the fate of black dwarfs to become neutron stars without proton decay?

    Will black dwarfs eventually quantum tunnel into neutron stars if proton decay doesn't occur?
  11. D

    Calculate Halflife of Alpha Decay: Sm^{147}_{62} to Nd^{143}_{60}

    Homework Statement Hi... I think I might be staring blind at this one. I have to calculate the theoretical halflife for the ground state alpha-decay, and compare it to the experimental value. What is know is that the nuclei Sm^{147}_{62} decays by the emission of a alpha-particle to the...
  12. S

    Searching Neutralino Decay in the Sun w/ Amanda

    Hi so I am doing a presenation, on the indirect search for the neutralino from the sun at amanda In short: neutralinos are graviationally captured and settle int he sun.. they decay to produce neutrinos.. we detect the neutrinos at the amanda detector through muon productionSo what I am...
  13. A

    Special Relativity and muon decay

    The proper mean lifetime of a muon is 2.20 µs, which is denoted as τ. Consider a muon, created in Earth's upper atmosphere, speeding toward the surface 8.00 km below, at a speed of 0.980c. What is the likelihood that the muon will survive its trip to Earth's surface before decaying? The...
  14. B

    Exploring Neutron Decay in the Early Universe: The Mystery Unraveled!

    In the early universe electrons and protons would combine to form neutrons and few, if any, protons would remain. If the mass difference were greater than the binding energies of nuclei, neutrons inside nuclei would decay leaving no nuclei behind. Does anyone know why the above...
  15. R

    Exponential decay question. fundamental

    this is just something has been bugging me for the last few days. it seems like it has a very basic solution. Muons decay randomly, but have a mean lifetime of about 2 us. If I plot the # of muons that decay vs. time (say the axis spans from 0 to 20 us), why is the plot exponential decay...
  16. S

    Why Were Some Alpha Particles Detected in Radium-226 Decay but Not Others?

    Homework Statement A experiment was carried out to detect the alpha particles in the decay of Radium-226, it was left for 24 hours overnight. In the end, four decay spectrums were detected. However, none of them matched the energies of decays in astatine-218, and Radon-218. But the alpha...
  17. Z

    Investigating Two-Photon Decay in Hydrogen Atoms and Hydrogen-Like Ions

    Papers such as http://arxiv.org/PS_cache/arxiv/pdf/0904/0904.1503v2.pdf talk of 2 photon decay from 2s to 1s or 2p to 1s. "The probabilities for the spontaneous two-photon decay in hydrogen atoms and hydrogen-like ions are under investigation since the theoretical formalism has been...
  18. T

    Statistics of Radioactive Decay

    Homework Statement I hope that I'm posting it in the right section... I did an experiment in class using a Geiger-Muller counter with the objective to find the amount of counts (how many photons hit the detector) due to natural radioactivity around my work station. I recorded 45 values of...
  19. M

    Calculating Alpha Decay Energy for A=210, Q=5Mev

    Homework Statement if the decay of nucleuse with A=210, what is the alpha energy emited when the Q of the decay is 5Mev Homework Equations The Attempt at a Solution by energy and momentum conservation: parent=daughter+alpha decay+Q from the question the parent has A=210, in...
  20. S

    How Do You Calculate Total Alpha-Decays in Radium-226 Experiment?

    Homework Statement It is found that when a 6.3 x 10–5 g sample of radium-226 is placed in a vacuum and exposed to a screen of area 1.0 mm2 placed 1.5 m away from the sample, an average of 46 α-particles hit the screen in 10.0 minutes. Calculate the total number of decays per gram of...
  21. J

    Coupled nuclear decay rate equations

    Homework Statement If we have the following partial decay chain: N1 -> N2 -> N3 where N1 is the number of nuclei of species 1, etc. and N1 -> N2, not via a decay but by the reaction such as N1 + neutron -> N2 + photon and we know this rate of formation of N2, say 'a'. I then get the...
  22. J

    Coupled nuclear decay rate equations

    If we have the following partial decay chain: N1 -> N2 -> N3 where N1 is the number of nuclei of species 1, etc. and N1 -> N2, not via a decay but by the reaction such as N1 + neutron -> N2 + photon and we know this rate of formation of N2, say 'a'. I then get the following rate...
  23. U

    Feynmann diagram for beta decay, direction of arrows confusion

    For beta minus decay, I know the reaction is given by neutron -> proton+electron+anti(electron)neutrino. This is an image of the Feynman diagram for the reaction: http://tmp.kiwix.org:4201/I/280px_Beta_Negative_Decay_svg.png I get that the neutron changes to a proton releasing a w-...
  24. H

    Exponential Decay Homework: Solving 8 mg After 100 Years

    Homework Statement A radioactive substance has a half-life of 20 years. If 8 mg of the substance remains after 100 years, find how much of the substance was initially present. Homework Equations A=A0ekt The Attempt at a Solution I set the equation up so that 8=A0e100k and...
  25. sophiecentaur

    Is Beta+ Decay of a Proton Just a Fictional Event?

    The A level book that AS students have for the AQA course has a Feynman diagram of a proton decaying into a neutron - via a W boson, producing a beta+ and a neutrino. afaiaa, protons have a lifetime of 1033 years, so this doesn't seem a likely event. Is this just a 'fictional' event, put in the...
  26. M

    How Is Total Lifetime Calculated for a System with Multiple Decay Modes?

    Homework Statement An unstable sysemt may have two or more decay modes, with a Rate R1 for decay through mode 1 and R2 for decay through mode 2. Use the meaning of the rate to show that the total lifetime \tau of the system is given by 1/\tau=1/\tau1+1/\tau2. Homework Equations...
  27. R

    Finding the relesed energy in decay process

    Hi, Radioactive materials will decay to datughter products. in the mean process they emit alpha or beta particles with some energy and then decay to new products. In my problem i am just observing U(238) decay process. I need to find the energy values for each decay and also i need...
  28. H

    Neutron Decay and the Weak Force

    I believe the neutron decays with a half life around 12 minutes via the weak mechanism. I'm wondering what causes a particular neutron to decay. At the moment the neutron decays, has it encountered (run into) a stray weak field? Or ... does the neutron decay just because of internal forces...
  29. O

    What is the next step in solving kaon decay using relativity?

    Homework Statement Homework Equations http://img42.imageshack.us/img42/7931/image24yc.jpg The Attempt at a Solution To make things easier I just scanned my work - I'm at a loss of what to do next :( [PLAIN][PLAIN]http://img816.imageshack.us/img816/6139/image25t.jpg Thanks a...
  30. A

    Quantum random number generator with radioactive decay

    hello! i'm planning to build such a generator, but i have some questions: 1. what dimensions and materials are needed to shield one typical geiger-muller tube from the background radiation? 2. even with the complete protection, is it possible that the counter tube will trigger without...
  31. S

    How Can Amplitude Decay be Modeled with a Pendulum and Friction Coefficient?

    Basic premise: a pure tone sine wave can be modeled with a pendulum and the rate of amplitude decay can be manipulated with a friction coefficient. So... does anyone know how this is actually done? In other words if you picked a pure tone (let's say middle C @ 261.6 Hz) initiated at a certain...
  32. T

    Why Is A Unimolecular Reaction Analogous to Decay

    Hi, I've noticed that the same method is used to derive both decay rate and the reaction rate for a unimolecular reaction. The thing I don't understand is, how do we know that the rate of a nuclear reaction is only dependent on k*t I mean with chemistry, this is something you find out...
  33. R

    What Is the Kinetic Energy of a Proton in Neutron Decay?

    Homework Statement What is the kinetic energy given to the proton in the decay of the neutron when a) the electron has negligibly small kinetic energy; b)antineutrino has small negiligibly energy Homework Equations The decay reaction n\Rightarrow p+e^{-}+\bar{\nu} now I try to...
  34. E

    Electric Potential Difference involving Alpha Decay question

    Homework Statement A plutonium-239 nucleus, initially at rest, undergoes alpha decay to produce a uranium-235 nucleus. The uranium-235 nucleus has a mass of 3.90x10^-25 kg, & moves away from the location of the decay with a speed of 2.62x10^5 m/s. Determine the minum electric potential...
  35. R

    Solving Radioactive Decay Homework: Activity at 2pm

    Homework Statement I am looking for some guidance on how to tackle the following problem. Maybe I am a little confused as it is rather wordy. It is known that an isotope, X, spontaneously decays by positron emission into another isotope, Y, with a half life of 100 minutes. The isotope X...
  36. D

    Decay Method and Time of Nucleus

    Hi, I have a question regarding the types of decay and the time of decay for an atomic nucleus. Do all nuclei have a set decay time and method, (by method I mean Alpha, Beta, Gamma decay). i.e. does Uranium only decay via beta decay over a set time? Or can an nucleus decay by any of the...
  37. L

    Why do gamma rays accompany other kinds of decay?

    I read that gamma rays are usually emitted by the nucleus of an atom after it emits an alpha particle, but have been wondering: If the alpha particle being emitted was meant to stabilize the atom, and should have, why does the nucleus need to emit such high energy waves?
  38. J

    Neutron Decay Rate: Calculating Width & Lifetime

    How do we calculate the decay width or the mean lifetime of neutron/
  39. R

    Radioactive Decay: Proving Effective Half-Life of Nucleus

    Homework Statement A radioactive nucleus can decay by two different processes. The half life for the first processes is t_{1} and that for the second is t_{2}. Show that the effective half life t of the nucleus is given by \frac{1}{t}=\frac{1}{t_{1}}+\frac{1}{t_{2}}Homework Equations...
  40. S

    Nuclear physics - decay constant

    Homework Statement Hello. Im having a problem here, i got a sample of Au nucleis. I'm bombing them with neutrons and each second 20^10 of them undergo a reaction where they turn radioactive. Im trying to look at this problem as if i would have a sample of radioactive materia which decaying to...
  41. M

    Neutral Xi Decay: Why \Xi^0--> \Lambda^0+\pi^0?

    Is there any explanation why the \Xi^0 decays to \Lambda^0 + \pi^0 and not to \Lambda^0 + \pi^-+\pi^+ ?
  42. K

    What is the Speed of the CM Frame in Particle Decay?

    Homework Statement A particle of mass M, traveling horizontally through the laboratory, decays into two daughter particles, each of mass 0.4M. One of the daughters, A, is produced at rest in the Lab frame. Show that vcm , the speed with which the CM frame moves in the Lab frame, is equal...
  43. S

    Calculating Radioactive Au(A=198) and Hg(A=198) After 5 Days of Bombardment

    Here's a ques. I am having problem with: sample of gold is bombard with 2*10^10 neutrons per sec. it cause the Au(A=197) become radioactive (Au(A=198)) which decay with half life time of 2.969day (through beta decay 1. how many Au(A=198) will be after 5 days of bombardment? 2. how many...
  44. S

    Beta Decay Charge Conservation

    Hey so, I was just wondering: If Carbon-14 (6 protons, 8 neutrons) decays into an electron, a neutrino, and Nitrogen 14 (7 protons, 7 neutrons) How is charge conserved? I get that nucleons are conserved, but if nitrogen-14 is neutral, then it has 7 protons and 7 electrons, versus Carbon...
  45. A

    Radioactive Decay Rate: Comparing Half-Lives

    Homework Statement You have two samples that exhibit radioactive decay. The first gives you initially a 1000/s decay rate and after one hour a 500/s decay rate. The second gives you initially a 500/s decay rate and after one hour a 250/s decay rate. Which sample has a higher probability per...
  46. J

    Feynman rules and decay process

    Hi I need help to understand Feynman rules for decay for exams. In past paper there is the following question as whether the following are allowed. cc decays to tau++tau-. From What I can see this is possible via the strong force is this correct? The next is cc decays to cu and cu. From...
  47. A

    Di/dt for Growth and Decay in LR Circuit

    Why is the emf induced in an inductor much larger when the switch connecting it to a battery is closed than when the switch is opened? Somewhere in a text I had read that di/dt is very large when an LR circuit breaks but then its value for growth and decay in an LR circuit is...
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