1
$\begingroup$

I was wondering if anyone here could guide me in the right direction with respect to the following problem:

Two nuclei are considered mirror nuclei if interchanging the neutrons and protons turns one nucleus into the other. An example is $^{11}B$, which consists of five protons and six neutrons, and $^{11}C$, which consists of six protons and five neutrons. Determine the difference in mass of these two nuclei assuming that the nuclear binding energy is the same for both and the difference in mass of these nuclei is due to electrostatic energy differences as well as the difference in mass of the nucleon constituents. Assume both nuclei are uniformly charged spheres of the same radius.

Initially I though that the difference in the energy required to assemble a charged sphere with with $Z=5$ and $Z=6$ would account for the difference in the energy between the two nuclei and these could be related to the mass by converting to electron-volts and fixing the corresponding units. Is this right

$\endgroup$
  • $\begingroup$ Yes this is is correct, but as the question suggests, you need to account also for the difference of mass of neutrons and protons, because remember that neutrons are heavier than protons. So when changing in this case, you will have an extra neutron excess mass to account here. Feel free to solve it and answer your own question, which will earn you a badge :) $\endgroup$ – rmhleo Aug 18 '15 at 15:01

protected by Community Sep 8 '15 at 8:19

Thank you for your interest in this question. Because it has attracted low-quality or spam answers that had to be removed, posting an answer now requires 10 reputation on this site (the association bonus does not count).

Would you like to answer one of these unanswered questions instead?

Browse other questions tagged or ask your own question.