FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS
FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS
11th Edition
ISBN: 9781119459132
Author: Halliday
Publisher: WILEY
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Chapter 43, Problem 31P
To determine

To calculate:

the height of the Coulomb barrier for head-on collision of two deuteron atoms.

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1 MeV neutrons are scattered on a target. The angular distribution of the neu- trons in the centre-of-mass is found to be isotropic and the total cross-section is measured to be 0.1 b. Using the partial wave representation, calculate the phase shifts of the partial waves involved.
For the nuclear force to overcome the repulsive Coulomb force, the separation distance between two deuterons must be approximately 1.0 x 10-14 m.(A) Calculate the height of the potential barrier due to the repulsive force.      (B) Estimate the temperature required for a deuteron to overcome the potential barrier, assuming an energy of (3)/(2)kBT per deuteron (where kB is Boltzmann’s constant).                                                                                        (C) Find the energy released in the deuterium–deuterium reaction                           2/1H + 2/1H → 3/1H + 1/1H
Calculate the height of the potential barrier for a head on collision of two deuterons.
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