Explain how this decay and the, A:Both 0 and 0particles have the same quark combination given as (uds). we have to find v Asking for help, clarification, or responding to other answers. They concluded that these data are consistent with the decay of a neutral meson into two photons, with a meson mass of approximately 300 times the electron mass. The neutral pion, or 0 meson, is a particle of mass m = 135 MeV=c2 that decays into two photons through the reaction 0!2. The two photons must have the same energy since they travel in the same direction relative to the initial pion velocity. An electron cannot decay into two neutrinos. ( On this Wikipedia the language links are at the top of the page across from the article title. Together, the pions form a triplet of isospin. If it decayed to a single photon, conservation of energy would require the photon energy to be $E=Mc^2$, while conservation of momentum would require the photon to maintain $p=0$. I recently read an old physics news about the Higgs boson where it was observed to decay into 2 photons and I was wondering why it wouldn't have decayed into a single photon with the combined energy of 2 photons? <<61D40C178304F1489C12CEB7F9BD48C9>]>>
Connect and share knowledge within a single location that is structured and easy to search. Find this angle and the energy of each photon. MeV This problem has been solved! So a is one b diet on patriots with entries you want one you got and not one possession I length. Each pion consists of a quark and an antiquark and is therefore a meson. ) 0000003973 00000 n
Note: you will need a Taylor app ximation from the Taylor Collection that you haven't used before. A neutral pion at rest decays into two photons according to 0 + Find the energy, momentum, and frequency of each photon. The rest mass energy of Top quark should match the total energy of two protons so as to conserve energy. u Making statements based on opinion; back them up with references or personal experience. This interaction is attractive: it pulls the nucleons together. Check out a sample Q&A here See Solution star_border Students who've seen this question also like: Principles of Physics: A Calculus-Based Text Particle Physics. | The decay of the pion into three photons could conserve energy and momentum. A:Given data: A:Strong nuclear force is one of the fundamental force in nature. $\pi^+$ and $\pi^-$ decay into muon(or electron) and neutrino and $\pi^0$ decays into photons. This textbook answer is only visible when subscribed! Right? (a) Is it a quark, a lepton, a meson, or a baryon? The 0, invisible due to its short lifetime, decays into two photons (), which in turn each create an electron-positron pair. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Q:What particle has the quark composition d- ? It is well known that the Penrose process (PP) is a way for extracting energy from a black hole (BH). In the standard understanding of the strong force interaction as defined by quantum chromodynamics, pions are loosely portrayed as Goldstone bosons of spontaneously broken chiral symmetry. It's rest miss converts into energy. According to the, Q:Two protons are racing directly toward each other at the same speed. Also observed, for charged pions only, is the very rare "pion beta decay" (with branching fraction of about 108) into a neutral pion, an electron and an electron antineutrino (or for positive pions, a neutral pion, a positron, and electron neutrino). Using Kolmogorov complexity to measure difficulty of problems? A proton and an antiproton collide head-on, with each having a kinetic energy of 7.00 TeV (such as in the LHC at CERN). The photons each travel at the same angle from the initial pion velocity. Since the pion has zero initial momentum, photon momenta must point to the opposite directions in order not to violate the momentum conservation. It has been observed that the o decays into two photons, which means the quark and anti-quark that composed it annihilated! Assuming conservation of momentum, what is the energy ofeach ray produced in the decay of a neutral at rest pion, inthe reaction 0 + ? I felt welcomed to the group from the very start, much thanks to the initiatives taken by my supervisor Stefan Leupold. HSIo@+ U4D"$lOlRX,uG{f '4V-NAq&_Iqh x!V. Ww=[b c;_QID
d,e\zZ()s?fW^D dD1--`!j"eA{G`Ca=Uh2I9D4sve#9-KhL-L6]yAmZ3Ub!UQA${ 1)10n +23592U14054Xe +, Q:What is the velocity, as a fraction of c, of an electron with 1.8 GeV total energy? So energy will be I m hi. (Select all that apply.) Rest mass energy of pion, m0c2 = 135 MeV 2 Thanks, Constable. Neutral pions do not leave tracks in photographic emulsions or Wilson cloud chambers. But the mean lifetime of $\pi^0$ is much smaller than $\pi^+$ and $\pi^-$ even though the mass of neutral pion is smaller than that of the charged pions. Pions are the lightest mesons and, more generally, the lightest hadrons. State why or why not. The pion has a rest-mass energy of 135 MeV. A neutral pion at rest decays into two photons according to. M @N.Ginlabs My statement was loose. The same result also follows from Light-front holography.[10]. You may assume the muon antineutrino is massless and has momentum p = E/c , just like a photon. 0000001163 00000 n
Assume, Q:One possible decay mode of the neutral kaon is K00+0. Physical. State why or why, A:(a) A pion has a rest energy of 135MeV. 0000000016 00000 n
We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. to distinguish neutral from charged electromagnetic par-ticles. 0000004590 00000 n
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The Rare Decay of the Neutral Pion into a Dielectron Author: Hazhar Ghaderi Supervisor: Prof. Dr. Stefan Leupold 0 e+ e F0 Nov 16, 2013 Acknowledgments Working on this project has been one of the best experiences of my life. Homework Equations for m=0, E=p*c conservation of Energy E^2= (c*p)^2+ (m*c^2)^2 gamma=1/sqrt (1-Beta^2) ) Charged pions (+ and ) decay into positive and negative muons that decay in turn into relativistic electrons and positrons. K+ are indistinguishable from proton decays when the decay products of the are below detection threshold. MINERvA identi es K+ events by reconstructing the timing signature of a K+ decay at rest. So you hitch. Descubr lo que tu empresa podra llegar a alcanzar. K. Zioutas 1 1 affiliation: Institut fr Kernphysik, TU-Darmstadt, Schlogartenstr. Consider the proposed decay. Q:The decay mode of the negative muon is - e-+v-e +v. So this is a unit for momentum that this quite convenient When we are dealing with small values, off energies to find a frequency now in huts, you have to convert the energy. A:Mesons are usually unstable and have both particle and antiparticle. The photon is redirected to an angle of 35 from its initial direction of travel. Is the mass of Higgs bosons measured only through the decay into photons? Mutually exclusive execution using std::atomic? Why are there two photons in pair production Feynman diagram? Pions are pseudoscalars under a parity transformation. 0000006875 00000 n
(a)What is the energy of a single photon after the decay, in the rest frame of the pion? The eigenvalue of C for the neutral pion is easily derived using the fact that it decays into two photons. In particle physics, a pion (also referred to as a pi meson, denoted with the Greek letter pi: ) refers to any of three subatomic particles: 0 , + , and . Thedataareseparatedinto0 b and0 b bythe charge of the final-state pion and potential CP breaking effects on the photon polarization are studied. The lowest-energy superposition of these is the 0, which is its own antiparticle. A pion moving through the laboratory at v = 0.98c decays into, A:Given: "After the incident", I started to be more careful not to trip over things. (a) Write the decay in terms of the quark. m Give your answer in joules, Q:Two protons approach each other with 70.4 MeV of kinetic energy and engage in a reaction in which a, Q:Suppose a W created in a bubble chamber lives for 5.001025 s. What distance does it move in this. One of the reconstruction requirements for the LHCb calorimeter is the correct identification of neutral pions, \(\pi ^0\), which decay into two photons before reaching the calorimeter. The use of pions in medical radiation therapy, such as for cancer, was explored at a number of research institutions, including the Los Alamos National Laboratory's Meson Physics Facility, which treated 228patients between 1974 and 1981 in New Mexico,[8] and the TRIUMF laboratory in Vancouver, British Columbia. First, find the Lorentz factor for the pion. / E,)<<1. Good. Prospects for K + + normal- superscript superscript normal- K^{+}\rightarrow\pi^{+}\nu\overline{\nu} italic_K start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT italic_ start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT italic_ over start_ARG italic_ end_ARG observation at CERN in NA62 The 0 meson has a mass of 135.0MeV/c2 and a mean lifetime of 8.51017s.[1] It decays via the electromagnetic force, which explains why its mean lifetime is much smaller than that of the charged pion (which can only decay via the weak force). A sample of 201 . Excluding the slow pion from the trigger decision minimises any bias on the CPasymmetry due to the trigger. If, however, leptons were massless, they would only interact with the pion in the left-handed form (because for massless particles helicity is the same as chirality) and this decay mode would be prohibited. the quark condensate. A neutral pion at rest decays into two photons according to \pi^0 \rightarrow \gamma + \gamma 0 + . The other members of this octet are the four kaons and the eta meson. The primary decay mode for the negative pion is + - . In particle physics, a pion (or a pi meson, denoted with the Greek letter pi: ) is any of three subatomic particles: 0, +, and . It requires two photons to conserve momentum. I just look up spin so spin can be negative. Sex Doctor Private, if you can see so, eh? Decay of Pion into Two Gamma Particles: Example Viken Kiledjian 7.61K subscribers Subscribe 4.5K views 5 years ago Chapter 39: Relativity This video explains how to find the Kinetic Energy of. Does this imply that theW+,W, andZ0are the, Q:One decay mode for the eta-zero meson is 0 0 + 0 . Static forces and virtual-particle exchange, "High Energy Photons from ProtonNucleon Collisions", "Quantum Field Theory, Anthony Zee | Lecture 2 of 4 (lectures given in 2004)", "Behavior of current divergences under SU, S. J. Brodsky, G. F. de Teramond, H. G. Dosch and J. Erlich (2015) Light-Front Holographic QCD and Emerging Confinement, Leptonic decays of charged pseudo- scalar mesons, https://en.wikipedia.org/w/index.php?title=Pion&oldid=1138309461, Short description is different from Wikidata, All articles with specifically marked weasel-worded phrases, Articles with specifically marked weasel-worded phrases from January 2023, Creative Commons Attribution-ShareAlike License 3.0, This page was last edited on 9 February 2023, at 00:40. So we take 67.5 movie What, whereby 600 power When this 13 juice per MTV This will give us juice damage right by plank's constant and we get the final into it hurts just 1.6 tree time stamp party to goods, Educator app for neutral kaon and a delta++ 13. and an antineutron 14. electron and an electron antineutrino Example 1 In this case a neutron decays to a proton, an electron and an anti-neutrino via the weak interaction. This contrasts with the three-particle decay of the neutral pion in which the emitted particles have a range of energies and momenta. the velocity of, Q:Beta decay is caused by the weak force, as are all reactions in which strangeness changes. note that the electron initially has only rest energy. Written in a non-relativistic form, it is called the Yukawa potential. . All right, so energy off the photo on its goes to hitch f hitches. u As showin in the figure, the two photons emerge in the xy-plane in a symmetric configuration where each photon's trajectory makes the same angle O with respect to the +x axis. If you enjoy algebra, solve this system of equations by hand. Composite particles may emit single photons, but no massive particle may decay to a photon. (b) What is the, Q:The average particle energy needed to observe unification of forces is estimated to be 1019 GeV ., Q:A neutral pion at rest decays into two photons according to A photon of energy 500 keV scatters from an electron at rest. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. (b) Write the decay in terms of the quark constituents of the particles. The suppression of the electronic decay mode with respect to the muonic one is given approximately (up to a few percent effect of the radiative corrections) by the ratio of the half-widths of the pionelectron and the pionmuon decay reactions. (a) What is the energy release in MeV in this decay? In the laboratory frame, the pion is moving with relativistic momentum p_ = m_0c. %%EOF
Find the energy released in MeV. The discovery article had four authors: Csar Lattes, Giuseppe Occhialini, Hugh Muirhead and Powell. A:Quarks are elementary particles; building blocks of matter. As seen in the rest from of the pion, energy and momentum must be conserved so the two photons must have | ~ p 1 | =-| ~ p 2 | E 1 = E 2 E . (d) Combine your high-energy approximation from (b) and your low-energy limit from (c) to make a rough plot of the decay angle Oversus Em. A neutral pi meson, rest mass 135 MeV, decays symmetrically into two photons while moving at high speed. (a) Calculate the disintegration energy. You can check from the Clebsch-Gordan table that the final two photon wavefunction is symmetric under particle permutation, as required by Bose . Further advanced theoretical work was carried out by Riazuddin, who in 1959 used the dispersion relation for Compton scattering of virtual photons on pions to analyze their charge radius.[5]. This is why every decay that we see in nature involves two or more particles emerging from a single one. to. Each pion consists of a quark and an antiquark and is therefore a meson. In the laboratory frame, the pion is moving in the +x direction and has energy Er. Momentum. In nature, there are certain rules and standards for an interaction. 0000008996 00000 n
(Note that this is not significantly greater than the extremely relativistic kineticenergy.). The energy of each photon in the laboratory system is 100 MeV. Find this angle and the energy of each photon. Why can a particle decay into two photons but not one? How to follow the signal when reading the schematic? But it violates charge conjugation symmetry, and it is found that strong and electromagnetic decays are invariant under charge conjugation. 0 + . (a) Find the energy released. Legal. Find the (a) energy, (b) momentum, and (c) frequency of each photon. How do I align things in the following tabular environment? (The cosine uniquely determines an angle that can only vary from 0 to 180.) See Answer A neutral pion at rest decays into two photons according to Experts are tested by Chegg as specialists in their subject area. The two-photon state with total spin zero is an entangled state, in which the orientations of the individual photons' spins are not individually defined. Medium Solution Verified by Toppr The energy and momentum of a photon are related by p =E /c. A neutral pion at rest decays into two photons according to $$\pi^{0} \quad \rightarrow \quad \gamma+\gamma$$Find the energy, momentum, and frequency of each photon. 0 The neutral pion is an unstable particle that decays very quickly after its creation into two photons ("particles" of light: v = c, mo = 0). This is simply zero. Please subscribe to view the answer, A neutral pion at rest decays into two photons according 10$$\pi^{0} \rightarrow \gamma+\gamma$$Find the energy, momentum, and fre, A neutral pion at rest decays into two photons according to $\pi^{0} \rightarrow \gamma+\gamma$ . rev2023.3.3.43278. Please see rob's answer for clarification about this. How can I interpret this result of Higgs boson decay? But before he actually cooperate this the energy has to reconnoiter into juice. 0000008235 00000 n
u To learn more, see our tips on writing great answers. (b) Is it, Q:The0 is its own antiparticle and decays in the following manner: 0 + . Pions are the lightest mesons and, more generally, the lightest hadrons. Add custom text here or remove it. The branching fractions above are the PDG central values, and their uncertainties are omitted, but available in the cited publication. The pion at rest decays into two photons. The mesons have a mass of 139.6MeV/c2 and a mean lifetime of 2.6033108s. They decay due to the weak interaction. conservation of lepton number. Just using pure energy conservation, how much energy is there before and after the decay? View Text Answer Jump To Question Problem 1 Medium Difficulty No other decay modes have been established experimentally. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. The laws about conservation of energy, momentum, angular momentum, and electric charge are, Q:One decay mode for the eta-zero meson is 0 + . Thus, even a parity conserving interaction would yield the same suppression. [1], [a] .mw-parser-output .citation{word-wrap:break-word}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}^ Make-up inexact due to non-zero quark masses.[15]. How can I check before my flight that the cloud separation requirements in VFR flight rules are met? xb``e`` |l@q;8?``]$+(t$pJL,h)2E3:: 4|7 -*`e^9%R;Mx0aZ ikn9,,LgP`d e{\4&i1 w/i
So this is 67.5 MTV. Since the initial momentum is zero, right, it's at rest. Adobe d C
Find the energy, momentum, and frequency of each It seems to me that momentum isn't conserved. In a series of articles published in Nature, they identified a cosmic particle having an average mass close to 200 times the mass of electron, today known as pions. It's less than two to And yet that Jay Z to you know, I finally I was not a J. You are using an out of date browser. In the quark model, an up quark and an anti-down quark make up a +, whereas a down quark and an anti-up quark make up the , and these are the antiparticles of one another. Putting in the values. 0000008270 00000 n
The point of my statement was simply that a single photon can't have a total angular momentum of zero (zero projection along every direction), but a pair of photons can. So the energy that is being converted over here is a mess off the pie on Times Square that is close to one tree, five MTV. This is the only way that momentum in this perpendicular direction can be conserved. and is a spin effect known as helicity suppression. Do roots of these polynomials approach the negative of the Euler-Mascheroni constant? The neutral pion, 0, has a mean life of only (8.4-0.6) 1017s, some 109 times shorter than that of its charged A neutral pion (rest energy 135 MeV) moving at 0.7c decays into a pair of photons. They decay in 1/1000000 times, Q:Which of the following are possible reactions? Why can a neutral pion decay into 2 photons but not one? 9, D-64289 Darmstadt, Germany; hoffmann@physik.tu-darmstadt.de, Thomas.Papaevangelou@cern.ch 4 4 affiliation: CERN, CH-1211 Geneva 23, Switzerland; Luigi.Di.Lella@cern.ch 5 5 affiliation: Physics Department, University of Thessaloniki, GR-521 14 . Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. MathJax reference. It decays into two gamma rays (photons). A neutral pion traveling along the x-axis decays into two photons, one being ejected exactly forward and the other exactly backward. Antineutrinos, the antiparticles of neutrinos, are neutral particles produced in nuclear beta decay. Prove that the original pion had speed 0.5c. There are four types of interactions: The K0 meson is an uncharged member of the particle zoo that decays into two charged pions according to K0 + + . p S p 0 e Set the total energy of the two photons, equal to the rest energy of the proton plus antiproton and solve for Eg . 0000001244 00000 n
Home . 2P] t-X@7uV4\8t?CYF^i~vhG=8%_N9ozU_y78g.F*R%-*@Gj{-mtu)D)}T2sc"un}r}MhbF(7)Al_{yFFW_f2-5^omfO+ The fundamental must be zero s Well, so the momentum off both photons must be equal and opposite, right? 0000003468 00000 n
Since you have the same momentum. As emphasized in a comment, conservation of angular momentum is only a necessary condition, not a sufficient one. The Pion decays in an electromagnetic force process. Q:Why does the 0 meson have such a short lifetime compared to most other mesons? Find the energy, frequency, and wavelength of each photon.
! As showin in the figure, the two photons emerge in the xy-plane in a symmetric configuration where each photon's trajectory makes the same angle O with respect to the +x axis. It follows simply from the laws of nature that the total energy and total momentum must stay constant in any physical process (or as physicists say, "energy and momentum are conserved.") Also observed, for charged Pions only, is the very rare "Pion beta decay" (with probability of about 10 8) into a neutral Pion plus an Electron and Electron anti-Neutrino. 0 12 (b) Your solution should reveal that the angle 0 varies with the pion's energy Er. These interactions are universally accepted. A multivariate algorithm based on the energy cluster shape parameters is used to reject approximately 65% of the 0 background in which the two photons are reconstructed as a single cluster, while keeping about 95% of thesignal photons.The B candidate mass is required to However, quarks annihilating into two photons can be observed in processes such as neutral pion decay. Find the angle in the laboratory system between the momentum of each photon and the initial line of motion. . The provided nuclear reaction is: It is shown that this process cannot exist if . Q:An electron cannot decay into two neutrinos. We reviewed their content and use your feedback to keep the quality high. Child Doctor. a neutral pion at rest decays into two photons. However, photons obey $E=pc$ (which is the special case of $E^2 = (pc)^2 + (mc^2)^2$ for massless particles). 0 Be not, and minus. What is. [3] Since the advent of particle accelerators had not yet come, high-energy subatomic particles were only obtainable from atmospheric cosmic rays. For a better experience, please enable JavaScript in your browser before proceeding. What is the energy of each photon? The, Q:An 0 meson at rest decays into three p mesons. Consider a pion that has a kinetic energy of 90 MeV 1) Determine the v of this pion 2) Determine the momentum of the pion Raymond A. Serway, Clement J. Moses, Curt A. Moyer. B endstream
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In 1947, the charged pions were again found independently by the collaboration led by Cecil Powell at the University of Bristol, in England. The primary decay mode for the negative pion is +v . You are using an out of date browser. The nearly identical masses of and 0 indicate that there must be a symmetry at play: this symmetry is called the SU(2) flavour symmetry or isospin. 0000019804 00000 n
(b) Using conservation of momentum, how much energy does each of the decay products receive, given the is at rest when it decays? We know that energy off the photons must be de saint, right? A `pi^ (sigma)` meson at rest decays into two photons of equal energy. View this solution and millions of others when you join today! TT o (a) A neutral pion of rest mass ma decays, yet again, into two photons. %PDF-1.2
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[according to whom?] So take the equation E = pc, then conserve energy and momentum to calculate the energy of the two photons. And so for a part A. By contrast, the up and down quarks transform according to the fundamental representation 2 of SU(2), whereas the anti-quarks transform according to the conjugate representation 2*. Why do we need to "create our own" Higgs boson in order to see one? The rest energiesof the K0and0are 498 MeV, Q:Gluons and the photon are massless. That explains why the masses of the three kinds of pions are considerably less than that of the other mesons, such as the scalar or vector mesons. In the terms of quantum field theory, the effective field theory Lagrangian describing the pion-nucleon interaction is called the Yukawa interaction. neutral pion decay to two photons. They are unstable, with the charged pions 1) A PARTICLE MUST DECAY TO TWO OR MORE PARTICLES. Among gravitational force,, Q:The 0 is its own antiparticle and decays in the following manner: 0 + . Pions are not produced in radioactive decay, but commonly are in high-energy collisions between hadrons. O . and are either neutral or have a +2, +1 or 1 elementary charge. Particles with same quark, Q:-23 Consider the decay A0 p + with the A at rest. The photons each travel at the same angle from the initial pion velocity. After development, the photographic plates were inspected under a microscope by a team of about a dozen women. 42 0 obj
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How do you get out of a corner when plotting yourself into a corner. Recovering from a blunder I made while emailing a professor. Where did the 3.08 x 10^-25 come from. So no kinetic energy. Although this explanation suggests that parity violation is causing the helicity suppression, the fundamental reason lies in the vector-nature of the interaction which dictates a different handedness for the neutrino and the charged lepton. *:JZjz ? Find the (a) energy, (b) momentum, and (c) frequ, A neutral pion (mass $0.135 \mathrm{GeV} / \mathrm{c}^{2}$ ) decays via the electromagnetic interaction into two photons: $\pi^{0} \rightarrow \ga. In its rest frame, a particle with mass $M$ has momentum $p=0$. Is it suspicious or odd to stand by the gate of a GA airport watching the planes? For example, the lightest strongly interacting particle, the pion, has three charge states; the neutral pion, 0, decays into two photons. u e + De + V. (b) Determine the value of strange-, Q:What is for a proton having a mass energy of 938.3 MeV accelerated through an effective potential, Q:A kaon at rest decoys into tuo pions Find the energy, momentum, and frequency of each In the laboratory frame, the pion is moving in the +x direction and has energy Er. (Just interpolate smoothly from the low-energy limit to the high-energy behavior nothing weird happens in between for this function.) No, that can so each other out. knoxville police department hiring process. 0 Solutions Verified Solution A Solution B Answered 2 years ago Create an account to view solutions Continue with Facebook Recommended textbook solutions Why single photon decay into two photon in vacuum is not possible? Its mechanism is as follows: The negative pion has spin zero; therefore the lepton and the antineutrino must be emitted with opposite spins (and opposite linear momenta) to preserve net zero spin (and conserve linear momentum). Find the energy, momentum, and of the gamma rays. Suppose that a K0 at rest decays into two pions in a bubble chamber in which a magnetic field of 2.0 T is present (see Fig. Neutral-current production of K+ by atmospheric neutrinos is a background in searches for the proton decay p!K+ . Find the meson's speed V. Express your answer as a ratio V/c. Find the energy, momentum, and frequency of each photon. To analyze this particle decay, apply both conservation laws to the process. The technique of passing two heavy nuclei very close to one another at nearly the speed of light allows for photons, arising from the electromagnetic field of each nucleus, to interact with the. european organization for nuclear research (cern) cern-ph-ep-2015-322 Q:How can the lifetime of a particle indicate that its decay is caused by the strong nuclear force? Find the momentum of each photon.. "(($#$% '+++,.3332-3333333333
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