p44 036

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36. Our calculation is very similar to that in Sample Problem 44-4 except that we are now using R appropriate

to two Lithium-7 nuclei coming into “contact,” as opposed to the R = 1.0 fm value used in the Sample
Problem. If we use

R = r = r

0

A

1/3

= (1.2 fm)

3

7 = 2.3 fm

and q = Ze = 3e,then our K is given by (see Sample Problem 44-4)

K =

Z

2

e

2

16πε

0

r

=

3

2

(1.6

× 10

19

C)

2

16π(8.85

× 10

12

F/m)(2.3

× 10

15

m)

which yields 2.3

× 10

13

J = 1.4 MeV. We interpret this as the answer to the problem,though the term

“Coulomb barrier height” as used here may be open to other interpretations.


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