Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 44, Problem 28P
To determine
To find:
the quark combinations of
(a) Λ0 and
(b) Ξ0
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At time t=0s, there are No unstable pions. What fraction of pions decay after
travelling a distance of 25 m? Assume the pions travelling at 0.86c and their average
lifetime is 20.0 ns.
Select the correct answer choice:
(a)
85.9%
(b) 91.6%
(c) 99.2%
(d) 89.2%
A neutral rho particle decays from rest into two pions through the
following decay reaction:
The masses of the particles are:
p° = 775 MeV/c?, Tt = 140 MeV/c², 7¯ = 140 MeV/c?,
What is the kinetic energy of the n+ immediately after the decay?
Express your answer in units of MeV.
Answer:
While in flight, an unstable particle decays into three pions (rest mass 140 MeV/c²) according to
figure 1. The kinetic energies and angles are:
K₁ = 190 MeV, K₂ = 321 MeV, K3 = 58 MeV
0₁ = 22.4°, 0₂ = 12.25°
Calculate the mass of the unstable particle.
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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- a) A K° meson (mass 497.61 MeV/c2) decays to a t, T pair with a mean lifetime of 0.89 x 10-10 s. Suppose the K° has a kinetic energy of 276 MeV when it decays, and that the two A mesons emerge at equal angles to the original K° direction. Calculate the kinetic energy of each T meson and the opening angle between them. The mass of a 7 meson is 139.57 MeV/c2.arrow_forwardA K0 meson (mass 497.61 MeV/c2) decays to a π+, π− pair with a mean lifetime of 0.89 ×-10s. Suppose the K0 has a kinetic energy of 276 MeV when it decays, and that the two π mesons emerge at equal angles to the original K0 direction.Calculate the kinetic energy of each π meson and the opening angle between them. The mass of a π meson is 139.57 MeV/c2.arrow_forwardA Ξ- particle at rest decays to a Λ0 and a π-. (a) Find the total kinetic energy of the decay products. (b) What fraction of the energy is carried off by each particle? (Use relativistic expressions for momentum and energy.)arrow_forward
- = Consider a proton that is incident on a target proton (at rest). What is the threshold energy needed to produce a Higg's Boson. Use the following estimates of the masses: mp 1 [GeV] and mµ = 125 [GeV]. The Higgs boson will eventually decay into leptons and protons (a particle physicist will tell you that the Higgs boson will decay through different channels). The threshold energy is the minimum energy needed for all these processes (channels) to be observed as confirmed in 2012 at the Large Hadron Collider (LHC).arrow_forwardTwo protons collide and form a neutral pion through this interaction: Proton + proton --> proton + proton + pion. Protons have a mass of 938 MeV/c2 and the pion 135 MeV/c2. In the scenario where both incident protons are moving with the same speed, in opposite directions, what is the minimum kinetic energy for the protons to have to be able to produce the neutral pion as described above? Thanksarrow_forwardSay that the mean lifetime of a π+ meson in its own rest frame is τ = 2.6 x 10-8 s. A pion of this lifetime is created at an altitude 100 km in the atmosphere by the collision of an incoming cosmic·ray proton with an atmospheric nucleus, and it has lifetime τ. Use the binomial approximation (see attached image) to determine how fast would this π+ meson need to move in order to reach the ground before decaying. Express the velocity in the form v/c = 1 - ϵ, where ϵ << 1.arrow_forward
- You are working as an assistant for a physics professor. For an upcoming lecture, your professor asks you to prepare a presentation slide with the following two proposed reactions which might proceed via the strong interaction:(i) π- + p → K0 +Λ0(ii) π- + p → K0 + nOn the slide, the professor wishes for you to show the quark analysis of the reactions, and (a) identify which reaction is observed, and (b) explain why the other is not observed.arrow_forwardConsider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x direction with a kinetic energy of 10 GeV are made to collide with antiprotons of an equal energy that are moving in the x direction. ii) What is the speed of the protons as measured in the laboratory? iii) What is the highest mass particle that could be created in a collision of a proton and antiproton? Now consider a fixed target experiment in which a beam of antiprotons is made incident upon a stationary proton target. iv) Use the Lorentz velocity transformation to determine the antiproton speed required. for the fixed target experiment to have the same particle creation capability as the collider. v) Convert this speed to a kinetic energy and comment on the result in the context of the use of colliders or fixed target devices for high energy physics.arrow_forwardAs a result of the decay of an inertial K0- meson, two π0- meson particles moving in opposite directions are created. The inertial energies of K0 and π0 particles are 498MeV, respectively. and if 135MeV, calculate the kinetic energy of each π0 particle.arrow_forward
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