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.

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.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter33: Particle Physics

Section: Chapter Questions

Problem 20PE: (a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b)...

See similar textbooks

Related questions

Q: Why do leptons have integral charge while quarks have fractional charge?

Q: For each of the following forbidden reactions, select the conservation law(s) which is (are)…

A: (a) n+π0→γ+p charge: 0 + 0 0+e (charge is violated)

Q: An electron cannot decay into two neutrinos. Which of the following conservation laws would be…

A: Given:- An electron cannot decay into two neutrinos. Which of the following conservation laws would…

Q: When an electron and positron collide at the SLAC facility, they each have 50.0 GeV kinetic…

A: Given: Energy during collision or kinetic energy , KE = 50 GeV = 50000 MeV

Q: A pion has a rest energy of 135 MeV. A pion moving through the laboratory at v = 0.98c decays into…

A: Given: Rest mass energy of pion, m0c2 = 135 MeV Pion moving through the laboratory at v = 0.98c…

Q: The total energy in the beam of an accelerator is far greater than the energy of the individual beam…

A: The expression for the energy supplied to the particle is given as,

Q: A virtual particle having an approximate mass of 1014 GeV/c2 may be associated with the unification…

A: We know,

Q: Determine the muon-lepton number in the reaction u → e + De + V. (b) Determine the value of strange-…

A: The reaction is,

Q: 10 kg) Q1 A positron collides head on with an electron and both are annihilated Ench particle had a…

A: Answer:- Given Rest energy of electron = 0.51 Mev We know that This process make two photons.…

Q: Do all hadrons with a strange quark also have nonzero strangeness?

A: Quarks are treated as fundamental particles. There were three quarks initially, which accounted for…

Q: the baryon number p + p → 2y. Determine (b) the baryon number and (c) the electron-lepton number of…

A: a). The reaction is,

Q: The sigma-zero particle decays mostly via the reaction Σ0 → Λ0 + γ . Explain how this decay and the…

A: Both Σ0 and Λ0 particles have the same quark combination given as (uds). Particles with same quark…

Q: 6 Does the proposed decay A° →p +K¯ conserve (a) electric charge, (b) spin angular momentum, and (c)…

Q: •17 Does the proposed decay process E - T +n+ K +p conserve (a) charge, (b) baryon number, (c) spin…

A: a) For charge conservation, Charge is not conserved. b) For baryon number conservation,

Q: Calculate the minimum kinetic energy of a proton to be scattered from a fi xed proton target to…

A: In the centre of mass system, energy is,…

Q: •16 Does the proposed reaction p+p - A° +E+ +e- conserve (a) charge, (b) baryon number, (c) electron…

A: a) Charge:

Q: Discuss the relation E=mc2 and its importance.

Q: Positive and negative pions, denoted p+ and p-, are anti-particles of each other. Each has a rest…

A: Concept: The pions are the strong force interactions to take place between nucleons. Pions are…

Q: What lifetime do you expect for an antineutron isolated from normal matter?

Q: When a π- decays, the products may include: a. A positron. b. A muon. c. A proton. d. All of the…

Q: A proton cannot decay into a neutron and a neutrino.Which of the following conservation laws would…

A: The mass of a neutron and a neutrino is greater than that of a proton. Since, the proton is at rest,…

Q: For each of the following forbidden decays, determine whatconservation laws are violated.(a) μ- → e-…

Q: An antiproton p has the same rest energy as a proton. It is created in the reaction p + p → p + p +…

Q: A photon with an energy of 2.09 GeV creates a p roton – antiproton pair in which the proton has a…

A: Formula to find the total kinetic energy after pair production is,

Q: How can the weak nuclear force change the flavor of a quark?

Q: More than 60 years ago, future Nobel laureate Sheldon Glashow predicted that if an antineutrino —…

Q: What were the three quark types or flavors proposed?

A: Quark is a fundamental particle, of which electrons, neutrons and protons are made of.

Q: Gluons and the photon are massless. Does this imply that the W + , W − , and Z 0 are the ultimate…

A: Given: Gluons and the photon are massless. Does this imply that the W +, W −, and Z 0 are the…

Q: An electron and a positron undergo pair annihilation . If they had approximately zero kinetic energy…

Q: Determine whether or not strangeness is conserved in the following decays and reactions. (a) A° → p+…

A: Step 1 (a) The given reaction is, The strangeness of the Λ0 is -1 The strangeness of the p is 0 The…

Q: Calculate the total kinetic energy (in MeV) carried away by the pions after this decay: Σ0 → n + π+

Q: A photon with an energy of 2.09 GeV creates a proton−antiproton pair in which the proton has a…

Q: Mesons should be made up of an even number of quarks. Give reason?

A: Quarks are the fundamental building blocks of hadrons.…

Q: Determine whether or not strangeness is conserved in the following decays and reactions. (a) ^0 → p…

A: (a) For , (b) For ,

Q: Two protons approach each other with 70.4 MeV of kinetic energy and engage in a reaction in which a…

A: The reaction is

Q: If pair production of muon-antimuon pair can occur for photons of wavelength =5.85 x 10-15 m or…

A: Given : Wavelength of photon, λ = 5.85 ×10-15 m

Q: •11 SSM www Which conservation law is violated in each of these proposed decays? Assume that the…

A: The given reaction,

Concept explainers

Nuclear Reactions

Nuclear reactions are processes in which the fundamental characteristics of a nucleus changes. They change into a completely different nucleus. These processes occur naturally in an unstable nucleus. Bombarding an energetic particle can induce nuclear reactions. In this article, both the naturally occurring nuclear reactions are termed as radioactive decay and the induced nuclear reactions are further categorized as nuclear fission and nuclear fusion.

Question

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.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 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

Calculate the mass in of a virtual carrier particle that has a range limited to by the Heisenberg uncertainty principle. Such a particle might be involved in the unification of the strong and electroweak forces.
(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.
The K0 meson is an uncharged member of the particle “zoo” that decays into two charged pions according to K0 → π+ + π−. The pions have opposite charges, as indicated, and the same mass, mπ = 140 MeV/c2. 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. P2.22). If the radius of curvature of the pions is 34.4 cm, find (a) the momenta and speeds of the pions and (b) the mass of the K0 meson.
What is the ratio of the velocity of a 5.00-MeV β ray to that of an α particle with the same kinetic energy? This should confirm that β s travel much faster than α s even when relativity is taken into consideration.
Calculate the minimum kinetic energy of a proton to be scattered from a fi xed proton target to produce an antiproton.
Suppose that a tau neutrino and a tau 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 tau neutrino (<18.2 MeV/c2), what is the shortest wavelength lamda0 of light that could be emitted by the annihilation? lamda0 = ? m Would the light be visible to the human eye?
The purpose of this problem is to show in three ways thatthe binding energy of the electron in a hydrogen atom isnegligible compared with the masses of the proton andelectron. (a) Calculate the mass equivalent in u of the 13.6-eVbinding energy of an electron in a hydrogen atom, andcompare this with the mass of the hydrogen atom obtainedfrom list given. (b) Subtract the mass of the proton given from the mass of the hydrogen atom given . You will find the difference is equal to theelectron’s mass to three digits, implying the binding energy issmall in comparison. (c) Take the ratio of the binding energyof the electron (13.6 eV) to the energy equivalent of theelectron’s mass (0.511 MeV). (d) Discuss how your answersconfirm the stated purpose of this problem.
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.
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?
A cyclotron with dee radius 53.0 cm is operated at an oscillatorfrequency of 12.0 MHz to accelerate protons. (a)What magnitudeB of magnetic field is required to achieve resonance? (b) Atthat field magnitude, what is the kinetic energy of a proton emergingfrom the cyclotron? Suppose, instead, that B = 1.57 T. (c) Whatoscillator frequency is required to achieve resonance now? (d) Atthat frequency, what is the kinetic energy of an emerging proton?
Why do leptons have integral charge while quarks have fractional charge?
Two protons are racing directly toward each other at the same speed. They collide, and a stationary top quark is produced. What is the minimum gamma factor each of the two protons must have for this to be possible?