What is Pion: Definition and 127 Discussions

In particle physics, a pion (or a pi meson, denoted with the Greek letter pi: π) is any of three subatomic particles: π0, π+, and π−. Each pion consists of a quark and an antiquark and is therefore a meson. Pions are the lightest mesons and, more generally, the lightest hadrons. They are unstable, with the charged pions π+ and π− decaying after a mean lifetime of 26.033 nanoseconds (2.6033×10−8 seconds), and the neutral pion π0 decaying after a much shorter lifetime of 85 attoseconds (8.5×10−17 seconds). Charged pions most often decay into muons and muon neutrinos, while neutral pions generally decay into gamma rays.
The exchange of virtual pions, along with vector, rho and omega mesons, provides an explanation for the residual strong force between nucleons. Pions are not produced in radioactive decay, but commonly are in high-energy collisions between hadrons. Pions also result from some matter–antimatter annihilation events. All types of pions are also produced in natural processes when high-energy cosmic-ray protons and other hadronic cosmic-ray components interact with matter in Earth's atmosphere. In 2013, the detection of characteristic gamma rays originating from the decay of neutral pions in two supernova remnants has shown that pions are produced copiously after supernovas, most probably in conjunction with production of high-energy protons that are detected on Earth as cosmic rays.The pion also plays a crucial role in cosmology, by imposing an upper limit on the energies of cosmic rays surviving collisions with the cosmic microwave background, through the Greisen–Zatsepin–Kuzmin limit.

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  1. A

    Neutral pion 2 gamma decay question

    I've been reading some books on how neutral pion decay proceeds through chiral anomaly recently. What I found wired is people always use the matrix element of the axial current between vacuum and a pion as granted, saying the matrix element should be a vector and the pion momentum is the only...
  2. J

    Positive pion decay and kinetic energy

    Homework Statement A nucleus contains Z protons that on average are uniformly distributed throughout a tiny sphere of radiues R. Suppose that in an accelerator experiment a positive pion is produced at rest at the center of a nucleus containing Z protons. The pion decays into a positive muon...
  3. N

    Special Relativity pion decay problem

    Homework Statement In the rare decay ∏+ → e+ + ve , what is the momentum of the positron (e+)? Assume the ∏+ decays from rest. (m∏+ = 139.6 MeV/c^2, mv ≈ 0, me = 0.511 MeV/c^2) Homework Equations Conservation of Energy: E∏ = Ee + Ev Conservation of momentum: p∏ = pe + pv...
  4. R

    Calculating Pion Decay Angle in a Moving Reference Frame

    Homework Statement A ##\pi^0## at rest decays into two photons, one traveling in the +z direction and the other in the –z direction. What is the angle between the photons in a reference frame moving at speed v=0.99c along the x-axis? Homework Equations The Attempt at a Solution...
  5. Z

    Max Velocity of Electron in Pion Rest Frame: Homework Solution

    Homework Statement A pion in its rest frame decays into a muon and a neutrino. Find the velocity of the muon and its mean-lifetime in the pion rest frame. (I've done this part). The muon decays into an electron and two neutrinos. If the two neutrinos happen to travel in the same direction...
  6. C

    Pion production with an electron beam

    If one directed a 3 GeV electron beam at a target (say carbon) would pions be produced? If so, what percentage would be produced compared to bombarding the same target with a 3 GeV proton beam? In other words, how important is it that electrons do not interact via the strong nuclear force...
  7. K

    Exploring the Spin of Neutral Pions in High Energy Physics

    In Perkins's Introduction to High Energy Physics, the author obtained the spin of neutral pions from the decay \pi^0 → 2\gamma He argued that the z-component of the total photon spin in the above decay can have the value S_z=0 or 2. If s_\pi=1, then only S_z=0 is possible, and the two-photon...
  8. B

    Why is There Only One Neutral Pion?

    Why is there only one neutral pion? Shouldn't there be two of them with slightly different masses, one with u/u-bar quarks, and one with d/d-bar quarks? Do neutral pions "oscillate" in some way? After all, s/s-bar mesons, c/c-bar mesons, and b/b-bar mesons are all different.
  9. S

    Pion Decay and Relativity Question

    Homework Statement 42. If a charged pion that decays in 10−8 second in its own rest frame is to travel 30 m in the laboratory before decaying, the pion’s speed must be most nearly (A) 0.43 × 108 m/s (B) 2.84 × 108 m/s (C) 2.90 × 108 m/s (D) 2.98 × 108 m/s (E) 3.00 × 108 m/s Homework...
  10. B

    Pion Photoproductions and kinetic energy of this pion

    Hello, I'm new and I'm Italian. I write in English with the help of google translator. I'm looking for some answers, but I have not found anything, and nor in Italian nor English. I hope to receive help in this forum. the question: The pion photoproduction is possible, when the...
  11. C

    Can Z decay into a neutral pion?

    I wondered if the following decay was possible: \Xi^0 \to \Lambda + \pi^0 The only mechanism I can think of is that a strange quark of the Lambda particle emits a Z and becomes a down quark followed by the Z creating a up-antiup pair. But I'm not sure whether the strange to up transition (by...
  12. M

    Pion in rest frame and lab frame

    Homework Statement An unstable particle called the pion has a mean lifetime of 25ns in its own rest frame. A beam of of pions travels through the lab with a speed of 0.60c. a) what is the mean lifetime of the pions as measured in the lab frame? b) how far does a pion travel ( as measured...
  13. B

    MSc particle physics revision question - angle of muon from pion decay

    I am trying to revise for PhD, going over MSc work. Could anyone help me with this question? Homework Statement A pion traveling at speed β(=v/c) decays into a muon and a neutrino, π→μ + \nu. If the neutrino emerges at 90° to the original pion direction at what angle does the muon come off...
  14. E

    Pion decays into gamma rays. Find the energy and angle

    Hi all, I was having trouble with this problem and hoping that someone could help me with it. A pion has a rest energy of 135 MeV. It decays into two gamma rays, bursts of electro magnetic radiation that travel at the speed of light. A pion moving through the laboratory at v = 0.97c decays...
  15. G

    Energy Threshold for 2 proton -> 2 proton 1 Pion

    Homework Statement When a beam if high-energy protons collides with protons at rest in the laboratory, pions are produced by the reaction p + p --> p + p + ∏. Compute the threshold energy of the protons in the beam for this reaction to occur. Homework Equations (mc^2)^2 = E^2 - (pc)^2...
  16. thenewmans

    Pion decay and neutrino oscillation in OPERA

    I hope you don’t mind me asking this OPERA question here but I think it’s more of a QM question. I just watched NOVA Ghost Particle and it got me thinking. The only problem is that my brain isn’t strong enough to hold all that I’m reading about this experiment. From what I gather, the CERN...
  17. S

    Why is 3 pion decay of eta (η) strong forbidden?

    I have read that 3 pion decay of the eta is not allowed as a strong reaction, but proceeds as an electromagnetic interaction. I do not see why it is strong forbidden.
  18. S

    Decay of tauon into pion and neutrino

    Decay of tauon into pion and neutrino... Hello all. I have a question. One of the weak decays of a tauon(energy 20GeV) is to a charged pion(rest mass 139.6Mev/c^2) and a neutrino(take the neutrino to be massless). What condition results in the maximum energy of the pion after the...
  19. S

    Exploring the Role of Pions as Goldstone Bosons in Quantum Field Theory

    I'm reading Zee book on quantum field theory. He wants to explain that pion is the goldstone boson arising from the spontaneous symmetry breaking of the chiral symmetry. So he start with the weak decay \pi^{-} \rightarrow \bar{\nu} + e^{-} and write this equation <0|J^{\mu}_{5}|k>=f k^{\mu}...
  20. G

    Calculating Laboratory Energy in Neutral Pion Electroproduction

    I am a high school physics intern, trying to figure out how calorimeter accuracy affects the recoiled proton's mass in a collision, where an electron beam is aimed at a proton target. The electron beam emits a virtual photon and scatters off one of the virtual pions around the proton, and the...
  21. A

    Which force mediates a reaction in which a pion and a deuteron form two protons?

    Which fundamental force mediates the reaction \pi^+ + D \rightarrow p + p? My initial assumption was the strong force because states only feature quarks (i.e. there are no leptons) but looking at it again I'm not 100% sure. Do I need to include colour factors? Could it be a neutral current...
  22. R

    Pion Decay in QED: Can it Occur via a Virtual Photon?

    Hi, I was wondering whether the decay of the Pi-0 meson in QED to an electron positron pair can occur as follows: Pi-0 -> virtual photon -> e+e- or does it have to go via Pi-0 -> two virtual photons -> e+e- (the Feynman diagram has a 'square' of virtual electrons/photons)? I have...
  23. 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...
  24. JK423

    Neutral Pion and Right-Handed Neutrinos

    Hello, i'd really need some help with the following questions. 1) Neutral Pion It's quark content is written as: \pi^0=(u\overline{u}-d\overline{d})/\sqrt{2} But the u-quark have a (quite) different mass than the d-quarks. This means that the neutral pion is a superposition of states of...
  25. J

    Can a neutral pion go to two electron anti electron pairs

    Basically can a neutral pion go to two electrons and two positrons and under what interaction would it do this? I know its defiantly not the strong force, so is it weak or EM? I'm pretty sure its EM but not 100% Thanks
  26. A

    Unraveling the Mysteries of Pion Decays

    hi, yesterday i had a discussion with some friends about the decays of pions which produced a few questions that we couldn't resolve properly. if anyone can shed some light on this matter, or point out flaws in the reasoning below, that would be great. so starting with the decay of a neutral...
  27. atomqwerty

    Calculating Pion Desintegration Angle & Energy

    Homework Statement A pion that is moving at 0.98c, desintegrates producing two photons that form both of them the same angle with the direction of the initial pion. Find the angle and the enrgy for the photons. (Pion mass: 135 Mev/c2) Homework Equations E = K + m0c2 The Attempt at a...
  28. B

    Pion Decay: Questions from a Beginner

    Forgive my question for being so elementry, but I'm jumping a bit ahead of my curriculum... I've attached a decay process for the negative pion. I actually spliced together the initial pion decay and then the subsequent muon decay, assuming the entire process is correct. 1) the first W-...
  29. rubenvb

    What is the CP operator on pion combinations?

    Hi, I have a question regarding the CP operator on pion systems. 1) CP \mid \pi^0 \rangle 2) CP \mid \pi^+ \pi^- \rangle 3) CP \mid \pi^0 \pi^0 \rangle I'd like to solve this in the above ket notation and apply the operators as is on the different parts of the represented wave function...
  30. S

    Find Threshold Energy to Generate a Pion

    Homework Statement A high speed proton of rest mass M collides with a proton at rest in such a way that not only do the two protons emerge from the collision, but also a pion of mass m. Find the threshold kinetic energy of the incoming proton for such a pion to be generated. Show that the...
  31. 0

    Estimating Pion mass using the uncertainty principle

    1. The problem is based uponYukawa's original prediction for pion mass-energy. suppose the force between nucleons is due to the emission of a particle mass m from one nucleon and the absorption by another. given the range of the nuclear force is R=(1.4)\times10^{-15} use \DeltaE\Deltat...
  32. T

    Pion Annihilation: Can Neutral Pions Really Convert to Photons?

    I'm running into a dilemma: I've recently worked out the Feynman rules for Chiral perturbation theory for 2 flavors, and discovered that the term \mathcal{L}=\frac{f_\pi^2}{4} \Tr[(D_\mu U)^\dag (D^\mu U)] seems to contain the term ~ e^2 A_\mu A^\mu \pi^0 \,\pi^0 describing a direct...
  33. I

    Pion Decay & Lorentz Transforms

    Homework Statement A pi+, produced by a cosmic ray, has an energy of 280MeV in the laboratory frame S. It undergoes a decay: pi+ ---> muon+ & muon-neutrino. The muon produced continues to travel along the same direction as the pi+ and has a mean lifetime of 2.2mirco seconds in the muon's...
  34. D

    Exploring the Possibility of Three Particle Pion Decay

    hi, is the following decay possible? \pi^- \rightarrow u \bar{u} + \mu^- + \bar{\nu}_\mu my idea: the quark content of \pi^- is \bar u d , the d quark could decay into an up-quark, emitting a w^- boson which decays into the muon and anti-muon-neutrino. or is there any problem? (normally...
  35. I

    Pi+ Decay Process: Energy & Momentum of Muon+

    Homework Statement A pi+ meson can undergo the following decay process: pi+ --> muon+ + muon neutrino where the rest mass of the muon neutrino can be considered as zero. Show that the energy and momentum of the muon+ in the rest frame of the pi+ are given by...
  36. maverick280857

    Spin of the Pion: Neutral Decay Proves Integral Spin

    Hi, I have a question from Perkins: I'm not sure I understand the line in boldface. If s_\pi = 1 then why is S_z = 0? Thanks!
  37. A

    Neutral Pion Decay: Why Can't it Produce Three Photons?

    Why is it not allowed for the neutral pion to decay to three photons? The PDG states that this mode violates charge conjugation, although obviously the two photon decay is the dominant decay of this particle, and I don't see how adding another neutral particle to the decay causes a violation of...
  38. Evo

    What happened to LowlyPion and rewebster?

    Does anyone know what happened to them? LowlyPion was our most prolific HH until he disappeared without a trace several months ago. He'd had a fight with a mentor, but I can't believe that would have driven him off, he was too well liked. rewebster said he was dying from having had the...
  39. V

    Quick question about about a Pion decay

    Reading on pions the book glanced over this idea: Aloud: Neutral pion --> photon and photon Not aloud: Neutral pion --> photon the book says its due to energy momentum conservation? but if photons are massless how does this work? Cheers
  40. F

    Special Relativity: Pion Decay - Two Photons

    Homework Statement A (pi)0 meson whose rest mass is 135 MeV/c2 is moving with a kinetic energy of 1 GeV. It decays in flight into two photons whose paths are along the direction of motion of the meson. Find the energies of the two photons. Homework Equations Lab Frame: The...
  41. N

    Particle physics: calculating the phase space factor for pion to muon decay

    Show that the phase space factor \rho \propto p^2 dp/dE for the decay \pi\rightarrow \mu + \upsilon is \rho \propto \frac{({m_\pi}^2 - {m_\mu}^2)^2}{{m_\pi}^3}E_\mu where E is the total energy.I can show that p^2 = ({m_\pi}^2 - {m_\mu}^2)^2/4{m_\pi}^2 but then I get stuck, I don't know how...
  42. J

    Energy width of ground state neutral pion

    Homework Statement Most of the particles known in physics are unstable. For example, the lifetime of the neutral pion, \pi^{0}, is about 1.0 x 10^{-16} s. Its mass is 1.35 x 10^{8} \frac{eV}{c^{2}}. What is the energy width of the \pi^{0} in its ground state.Homework Equations \Delta E\Delta...
  43. N

    Decay rho->eta + pion is forbidden.why?

    decay rho-->eta + pion is forbidden.why? is it only violation of charge conjugate or its not conserve the energy & momentum.
  44. S

    Pion decay and photon frequencies

    Homework Statement we are given a neutral pion moving at 0.98c straight in the x-direction. The pions rest mass is 135MeV/c^2. two photons are emitted in opposite direction parallel to the pion's motion. I need to find the two frequencies of each photon. Homework Equations m=0...
  45. D

    Difference between pion and rho

    The pion \pi+ has the same quark content as the rho\rho+, but different rest mass. Why is that? And does the same apply to the \pi- and \rho-. Will they have the same mass difference? Thanks for your help!
  46. B

    Threshold energy for pion production

    Homework Statement When a beam of high energy protons collides with protons at rest in the laboratory, neutral pions are produced by the reaction p + p ---> p + p + pi^o. Compute the threshold energy of the protons in the beam for this reaction to occur. Homework Equations The...
  47. K

    Pion decaying into two photons

    Homework Statement A neutral pion traveling along the x-axis decays into two photons, one being ejected exactly forward and the other exactly backward. The first photon has three times the energy of the second. Prove that the original pion had speed 0.5c. Homework Equations for m=0...
  48. P

    Pion Nucleon Scattering and Group Theory in Quantum Field Theory

    Pion Nucleon Scattering and a bit about group theory/ representations Hello everybody, I am going through Ryder's book about Quantum Field Theory right now. In the chapter about Pion Nucleon scattering he writes the interaction term like L_{int}=ig \bar{\psi} \gamma_5 \tau_a \psi \phi^a...
  49. Q

    Pion decay (tell me if I'm approaching it correctly)

    Homework Statement A neutral pion may decay into two photons. A particular pion is traveling along the x-axis when it decays into two photos, the first going directly along the +x axis, the second going directly back along the -x axis. The energy of the photons is measured and it is found that...
  50. P

    Real and virtual photons via neutral pion decay

    I wasn't sure whether this question should go in advanced or introductory physics but I decided to post here since it doesn't involve any complex maths. Homework Statement Part 1 Consider a neutral pion at rest. On the basis of conservation of energy and momentum alone, show that it is...
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