San José State University

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Thayer Watkins
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Estimates of the Binding
Energy Due to the Formation
of Neutron-Neutron Spin Pairs

Background

When a neutron is added to a nucleus with an unpaired neutron then a neutron-neutron spin pair is formed. This shows up as a peak in the graph of the incremental binding energy of neutrons,

The proton number of magnesium is 12. The generally higher level of incremental binding energy for N≤12 compared to the values for N>12 relects the effect of the formation of neutron-proton spin pairs.

A reasonable estimate of the binding energy of a neutron can be obtained by projecting forward the trend in the previous two trough values as shown below.

When this procedure is carried out for all cases for which it is feasible a distribution of values is obtained. The plot of the cumulative frequencies of those values is shown below.

The average of those values is 2.09851 million electron volts (MeV). ,


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