Question

How does the binding energy per nucleon can indicate the stability of a nucleus?

Answer 1

This is an Nuclear reaction question

Answer 2

do not understand your question but here is a generalized answer
http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/nucbin.html

Answer 3

The binding energy per nucleon describes the energy it gains when bound in a nucleus.

A nucleon experiences both strong attraction and, in the case of protons, repelling coulomb forces. In order to be stable, the binding energy should end up being negative, which means that the attractive forces are stronger than the repelling coulomb forces and thermal excitation.

This is one of those cases where the sign is sometimes omitted and sometimes not, so a stable nucleus could very well be described by a positive binding energy in some sources. It all depends on whether that energy describes the necessary energy to remove a nucleon from its nucleus (in which case the binding energy for a stable nucleus would be positive) or whether the binding energy describes the energy required to bring a nucleon INTO a nucleus (in which case a negative energy describes a stable nucleus). Careful reading is advised.