Consider 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.

Consider 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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A Neutron is moving at a speed of 95% the speed of light, v= 0.95c A)Calculate the Lorenz…

A: A) Lorentz factor (γ)Since, γ=11-v2c2 ⋯⋯⋯⋯⋯⋯⋯⋯(1)Now, as already given that v=0.95 So, putting this…

Q: A K° meson (mass 497.61 MeV/c²) decays to a †, a pair with a mean lifetime of 0.89 × 10-10 s.…

Q: The muon is a heavier relative of the electron; it is unstable, as we’ve seen. The tauon is an even…

A: Given: The half-life of tauon relative to muon is t=2.9X10-13 The velocity of tauon is v=0.999c.…

Q: A particle has a lifetime of 500 ns. If the particle has a velocity of 0.75c, how long does it live

A: As per the theory of special relativity time dilation is the slowing of time for an observer who is…

Q: Massless particles must travel at the speed of light, while others cannot reach this speed. Why are…

A: This is related to special relativity. So, first, we need to define the relationship between mass,…

Q: A K⁻ meson has a rest lifetime of 1.24 x 10⁻⁸ s. If one of these particles is created in a particle…

A: Formula of time dilation is as follows: ∆t'=∆t1-v2c2…

Q: The heaviest quark is the Top Quark with a mass of 173 GeV/c2. Let's take a Top Quark that is moving…

A: Given that: M=173 GeV/c2v=0.0063c ± 0.1%

Q: (17%) Problem 3: A free neutron lives 882 s when at rest relative to an observer. Randomized…

A: Given data, Life time of the neutron relative to the rest observer i.e. proper life time = 882 Sec…

Q: A neutral rho particle decays from rest into two pions through the following decay reaction: The…

Q: An electron with a total energy of 30.0 GeV collides with a stationary positron. (a) What is the…

A: When both masses are equal then total energy is much greater than rest energy, therefore available…

Q: Consider a proton that is incident on a target proton (at rest). What is the threshold energy needed…

Q: Gold (Au) nuclei are accelerated to a totalenergy of2 GeV per nucleon, as measured in lab reference…

A: a) The total rest mass energy of Au nucleus in MeV is calculated in the following way. Here, M0 is…

Q: 2. Now we move the detector to the bottom or base of the mountain. How long will it take the muon…

A: Here we have to use concept of special relativity more specifically length contraction. Due to…

Q: Q2. (a) If the mean proper life-time of muons is 2.2 x 10 s, what average distance would they travel…

A: Given, The mean a proper lifetime, ∆t0=2.2×10-6s The velocity of the muon in the reference frame,…

Q: In the fi ssion of 235U, the masses of the final products are less than the mass of 235U. Does this…

A: Nuclear fission in the reaction in which the heavier nucleus is split into two.

Q: A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives…

Q: A particle is propagating at relativistic speed. It is observed to have an energy of 3.1 GeV and a…

Q: The lifetime of a muon is 2.20 ?s. If you measured its mass to be 105.7 MeV/c2, what would be the…

A: According to Heisenberg's uncertainty principle, the product of uncertainties of a canonical pair of…

Q: A proton‑antiproton annihilation takes place, leaving two photons with a combined energy of 2.50…

A: From the question, it is given that- The combined energy of photons during proton-antiproton…

Q: A K0 meson (mass 497.61 MeV/c2) decays to a π+, π− pair with a mean lifetime of 0.89 ×-10s. Suppose…

Q: If a muon at rest decays into an electron and two neutrinos, what is the total kinetic energy of the…

Q: The Kº meson is a subatomic particle of mass 498 MeV/c² that decays into two charged pions, Kº→++.…

A: The K meson decays into two pi mesons. K0→π++π- Rest energy of the K meson, m0=498 MeV/c2Rest energy…

Concept explainers

Nuclear interactions

In nature, there are certain rules and standards for an interaction. These interactions are universally accepted. There are four types of interactions:

Question

Consider 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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The positron is the antiparticle of the electron, having exactly the same mass but opposite charge. When a positron and an electron meet, they annihilate, converting all of their mass into energy. Part (a) Find the energy, in joules, released in this interaction assuming neither particle has any kinetic energy before the collision. Part (b) If this energy is given to a proton in the form of kinetic energy, what is its resulting velocity as a fraction of the speed of light? You should assume the proton will be moving relativistically. Part (c) If this energy is given to another electron in the form of kinetic energy, what is its velocity as a fraction of the speed of light?
Determine which of the following decays or reactions is not allowed and explain why. (a) p + p → p + π++Λ+-K0 (b) Λ → p + π0
A new theory predicts that a chargino x¯ of mass m(x¯¯) = 620 GeV decays into a neutralino x with a mass of m(x) = 171 GeV and a W boson with a mass of m(W) 80.4 GeV. a) Calculate the energy of the neutralino in the rest frame of the chargino.
A 15.2 m diameter circular magnet can produce magnetic field of 280 mT. If this magnet were used in a cyclotron to accelerate protons (m/q = 1.04x10-8 C/kg), what is the maximum proton kinetic energy that can be achieved (in units of MeV). ) 83 MeV ii) 128 Mev ii) 194 MeV iv) 218 Mev
Two 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? Thanks
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.
What is the kinetic energy in MeV of a π -meson that lives 1.40×10−16 s as measured in the laboratory, and 0.840×10−16 s when at rest relative to an observer, given that its rest energy is 135 MeV?