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- The range of the nuclear strong force is believed to be about 1.2 x 10-15 m. An early theory of nuclear physics proposed that the particle that “mediates” the strong force (similar to the photon mediating the electromagnetic force) is the pion. Assume that the pion moves at the speed of light in the nucleus, and calculate the time ∆t it takes to travel between nucleons. Assume that the distance between nucleons is also about 1.2 x 10-15 m. Use this time ∆t to calculate the energy ∆E for which energy conservation is violated during the time ∆t. This ∆E has been used to estimate the mass of the pion. What value do you determine for the mass? Compare this value with the measured value of 135 MeV/c2 for the neutral pion.A muon, or mu meson, has the same charge as an electron, but is 207 times as massive. a) Compared with electron-positron pair production, the pair production of a muon and antimuon requires a photon of what energy? E = _____ MeV b) What would be the minimum frequency for such a photon? f = _________ HzA photon with an energy of 2.09 GeV creates a proton−antiproton pair in which the proton has a kinetic energy of 95.0 MeV. What is the kinetic energy of the antiproton?
- Mu mesons are subatomic particles which are created when cosmic rays strike the top of the atmosphere. The travel downward at 99.5% of the speed of light. Mu meson counters were placed at the top and bottom of Mt. Washington, which is 6265 feet (1909.6 m) tall. Mu mesons are unstable particles with a half-life of 1.53 x 106 s. 3. a. How long does it take the mu mesons to go from the top to the bottom of the mountain? How many half-lives is this? 6.40x10 s, 4.18 half-lives If the counter at the top of the mountain detects 560 mu mesons per second, how many should be detected after 4 half-lives? b. ou naz 35 per second MacBook Pro escSuppose that a muon neutrino and a muon antineutrino, both of which are just barely moving, encounter each other in space and completely annihilate to form two photons of equal energy. In view of the uncertainty about the mass of the muon neutrino (< 0.180 MeV/c²), what is the shortest wavelength Ao of light that could be emitted by the annihilation? Would the light be visible to the human eye? yes O no λο = mA neutral pion (º= uu or dd) decays while at rest into two photons (y). 135MeV/c² m40 = a) What is the angle between the two photons? b) What is the momentum of each photon?
- A particle of rest mass M is moving along the positive x-direction. It decays into two photons 7, and r, as shown in the figure. The energy of 7, is 1 GeV and the energy of GeV r, is 0.82 GeV. The value of M (in units of -) is c2 (Give your answer upto two decimal places) M 450 600A proton and an antiproton annihilate, producing two photons. Find the energy, frequency, and wavelength of each photon (a) if the p and pbar are initially at rest and (b) if the p and p bar collide head-on, each with an initial kinetic energy of 620 MeV.4. Suppose some object in space emits a muon and a photon at the same time. The muon's decay timescale is 2.2 usec. This is actually a characteristic decay time, but for this problem, we will assume it's the maximum lifetime of the muon. Let this object in space be at a distance of 100 light years from Earth. How much sooner will the photon, which moves at the speed of light, arrive at Earth than the muon?
- 3. (a) Verify that the minimum energy a photon must have to create an electron-positron pair in the presence of a stationary nucleus of mass M is 2mc2(1 + m/M), where m is the electron rest mass. (b) Find the minimum energy needed for pair production in the presence of a proton.A π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.A photon with an energy of 2.09 GeV creates a p roton – antiproton pair in which the proton has a kinetic energy of 95.0 MeV. What is the kinetic energy of the antiproton?