Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 44, Problem 6Q
To determine
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if the proposed decay of Λo into a proton and a K- conserve the three given conservation laws. And if there is enough energy for this decay when the Λo particle is stationary.
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The primary decay mode for the negative pion is π− → μ− + ν-μ . (a) What is the energy release in MeV in this decay? (b) Using conservation of momentum, how much energy does each of the decay products receive, given the π− is at rest when it decays? You may assume the muon antineutrino is massless and has momentum p = E / c , justlike a photon.
Please do it correctly, asap!
AZ boson (m(Z) = 91.19 GeV) is produced in a hadron collider. We measure its decays into a μ-
and a μ+. Use the values from the lecture for: gz = 0.74, sin20w = 0.2315 and h = 6.6 × 10-16 eV.
(a) Calculate the decay rate into μ+μ¯ pairs in GeV
(b) Calculate the branching fraction into μμ-pairs, assuming an approximate total Z decay
rate of Iz≈ 2.5 GeV
(c) Calculate the life time of the Z boson in units of seconds using the information provided in
this question.
Chapter 44 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 44 - Prob. 1QCh. 44 - Prob. 2QCh. 44 - Prob. 3QCh. 44 - Prob. 4QCh. 44 - Prob. 5QCh. 44 - Prob. 6QCh. 44 - Prob. 7QCh. 44 - Prob. 8QCh. 44 - Prob. 9QCh. 44 - Prob. 10Q
Ch. 44 - Prob. 11QCh. 44 - Prob. 1PCh. 44 - Prob. 2PCh. 44 - Prob. 3PCh. 44 - Prob. 4PCh. 44 - Prob. 5PCh. 44 - a A stationary particle 1 decays into parties 2...Ch. 44 - Prob. 7PCh. 44 - GO A positive tau , rest energy = 1777 MeV is...Ch. 44 - Prob. 9PCh. 44 - Prob. 10PCh. 44 - Prob. 11PCh. 44 - Prob. 12PCh. 44 - Prob. 13PCh. 44 - Prob. 14PCh. 44 - Prob. 15PCh. 44 - Prob. 16PCh. 44 - Prob. 17PCh. 44 - Prob. 18PCh. 44 - Prob. 19PCh. 44 - Prob. 20PCh. 44 - Prob. 21PCh. 44 - Prob. 22PCh. 44 - Prob. 23PCh. 44 - Prob. 24PCh. 44 - Prob. 25PCh. 44 - Prob. 26PCh. 44 - Prob. 27PCh. 44 - Prob. 28PCh. 44 - Prob. 29PCh. 44 - Prob. 30PCh. 44 - Prob. 31PCh. 44 - Prob. 32PCh. 44 - Prob. 33PCh. 44 - Prob. 34PCh. 44 - Prob. 35PCh. 44 - What would the mass of the Sun have to be if Pluto...Ch. 44 - Prob. 37PCh. 44 - Use Wiens law see Problem 37 to answer the...Ch. 44 - Prob. 39PCh. 44 - Prob. 40PCh. 44 - Prob. 41PCh. 44 - Due to the presence everywhere of the cosmic...Ch. 44 - SSM Suppose that the radius of the Sun were...Ch. 44 - Prob. 44PCh. 44 - Prob. 45PCh. 44 - Prob. 46PCh. 44 - Prob. 47PCh. 44 - Prob. 48PCh. 44 - Prob. 49PCh. 44 - Prob. 50PCh. 44 - Prob. 51PCh. 44 - Prob. 52PCh. 44 - Prob. 53PCh. 44 - Prob. 54P
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- An unstable particle, initially at rest, decays into a proton (rest energy 938.3 MeV) and a negative pion (rest energy 139.5 MeV). A uniform magnetic field of 0.250 T exists perpendicular to the velocities of the created particles. The radius of curvature of each track is found to be 1.33 m. What is the rest mass of the original unstable particle?arrow_forwardThe primary decay mode for the negative pion is +v . (a) What is the energy release in MeV in this decay? (b) Using conservation of momentum, how much energy does each of the decay products receive, given the is at rest when it decays? You may assume the muon antineutrino is massless and has momentum p = E/c , just like a photon.arrow_forward(a) Estimate the mass of the luminous matter in the known universe, given there are 1011 galaxies, each containing 1011 stars of average mass 1.5 times that of our Sun. (b) How many protons (the most abundant nuclide) are there in this mates? (c) Estimate the total number of particles in the observable universe by multiplying the answer to (b) by two, since there is an electron for each proton, and then by 109, since there are far more particles (such as photons and neutrinos) in space than in luminous matter.arrow_forward
- Calculate the energy released in the + decay of 22Na, the equation for which is given in the text. The masses at 22Na and 22Ne are 21.994434 and 21.991333 u, reSpec?vely.arrow_forwardQ5arrow_forwardFor each of the following forbidden decays, determine whatconservation laws are violated.(a) μ- → e- + γ (b) n → π + e- + ve(c) Λ0 → p + π0 (d) p → e+ + π0(e) Ξ0 → n + π0arrow_forward
- Positive and negative pions, denoted p+ and p-, are anti-particles of each other. Each has a rest mass of 140 MeV/c2. Suppose a collision between an electron and positron, each with kinetic energy K, produces a p+, p- pair. What is the smallest possible value for K?arrow_forwardCertain theories predict that the proton is unstable, with a half-life of about 1032 years.Assuming that this is true, calculate the number of proton decays you would expect to occur in one year in the water of an Olympic-sized swimming pool holding 4.32 * 105 L of water.arrow_forwardAn electrically neutral pion (º) can be created in a collision between two protons. (The protons still exist after the interaction.) Thus the reaction is p+р-->p+p+⁰° The proton rest energy is 938 MeV, and the pion rest energy is 140 MeV. Imagine that you are designing an accelerator, and you want to make sure that it has sufficient energy to produce a . (a) If the accelerator shoots a beam of protons onto a stationary proton target, what is the minimum (threshold) kinetic energy per proton? (b) If the accelerator has two colliding beams of protons (both with the same energy), then what is the minimum (threshold) kinetic energy per proton?arrow_forward
- A)The magnitude of the center of mass energy, √s ,determines what reactions can take place. Which has a higher CM energy: A 10 GeV (1 GeV = 109 electron Volt) electron colliding with a target (stationary) proton, or a 10 GeV proton colliding with a target electron B) What is the advantage of a collider in which 45 GeV electrons and positrons collide as compared with a beam of 90 GeV positrons hitting a stationary electron? In each case what is the CM energy available to create new particles ?arrow_forward3. The 4₂ particle and its products decay according to the scheme A₂ → pº + n², - μ* → e* + v + v, pt +, πμ+V, π μ* + V, μ e + v + v. (a) What are the final stable decay products? From the evidence, (b) is the A2 particle a fermion or a boson and (c) is it a meson or a baryon? (d) What is its baryon number? -arrow_forward11. (a) Calculate minimal energy of a proton beam in a fixed target pp experiment needed to produce a Z boson (Assume mz = 91 GeV)? (b) What would be the corresponding energies of initial protons in a (symmetric) pp collider? %3Darrow_forward
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