15. Use the semiempirical mass formula to obtain an expression for the two-neutron separation energy when A » 1. (Hint: A differential method is far easier than an algebraic one for this problem.) Estimate the size of the various terms and discuss the A dependence. Compare with the following data for Al and Te: 124 Te 16.36 MeV 125 Te 16.00 MeV 126 Te 15.69 MeV 127 Te 15.41 MeV 128 Te 15.07 MeV 129 Te 14.86 MeV 25A1 31.82 MeV 117Te 18.89 MeV 118Te 18.45 MeV 26A1 28.30 MeV 27ΑΙ 24.42 MeV 119Te 18.17 MeV 28A1 20.78 MeV 120 Te 17.88 MeV 29A1 17.16 MeV 121 Te 17.46 MeV 122 Te 17.04 MeV 30AI 15.19 MeV 3ΙΑΙ 13.03 MeV 123 Te 16.80 MeV 130 Te 14.50 MeV Why do we choose two-neutron, rather than one-neutron, separation en- ergies for this comparison?

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15. Use the semiempirical mass formula to obtain an expression for the
two-neutron separation energy when A » 1. (Hint: A differential method
is far easier than an algebraic one for this problem.) Estimate the size of the
various terms and discuss the A dependence. Compare with the following
data for Al and Te:
124 Te 16.36 MeV
125 Te 16.00 MeV
126 Te 15.69 MeV
127 Te 15.41 MeV
128 Te 15.07 MeV
129 Te 14.86 MeV
25A1 31.82 MeV
117Te 18.89 MeV
118Te 18.45 MeV
26A1 28.30 MeV
27ΑΙ 24.42 MeV
119Te 18.17 MeV
28A1 20.78 MeV
120 Te 17.88 MeV
29A1 17.16 MeV
121 Te 17.46 MeV
122 Te 17.04 MeV
30AI 15.19 MeV
3ΙΑΙ 13.03 MeV
123 Te 16.80 MeV
130 Te 14.50 MeV
Why do we choose two-neutron, rather than one-neutron, separation en-
ergies for this comparison?
Transcribed Image Text:15. Use the semiempirical mass formula to obtain an expression for the two-neutron separation energy when A » 1. (Hint: A differential method is far easier than an algebraic one for this problem.) Estimate the size of the various terms and discuss the A dependence. Compare with the following data for Al and Te: 124 Te 16.36 MeV 125 Te 16.00 MeV 126 Te 15.69 MeV 127 Te 15.41 MeV 128 Te 15.07 MeV 129 Te 14.86 MeV 25A1 31.82 MeV 117Te 18.89 MeV 118Te 18.45 MeV 26A1 28.30 MeV 27ΑΙ 24.42 MeV 119Te 18.17 MeV 28A1 20.78 MeV 120 Te 17.88 MeV 29A1 17.16 MeV 121 Te 17.46 MeV 122 Te 17.04 MeV 30AI 15.19 MeV 3ΙΑΙ 13.03 MeV 123 Te 16.80 MeV 130 Te 14.50 MeV Why do we choose two-neutron, rather than one-neutron, separation en- ergies for this comparison?
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