Nuclear Parity & Pairing Energy

In this article, we have talked about Nuclear parity and pairing energy. Let us explain each of the terms theoretically as well as mathematically.

Nuclear Parity:

Parity is a fundamental nuclear property which is considered more important than spin. According to Quantum mechanics “every moving particle has a wave associated with it” which corresponds to a wave function ψ which is the function of x, y, z.
If we replace (-x) with (x) , (-y) with (y)  and (-z)  with (z) then the wave function is said to possess an even parity, if:  ψ (x, y, z) = ψ(-x, -y, -z)
On the other hand, the wave function ψ will corresponds if :
               ψ(x, y, z) = –ψ( -x, -y, -z )
Thus parity is conserved.

Pairing Energy

If the nucleus contains an even number of protons and even number of neutrons, it is stable. It either number is odd the stability changes. Thus pairing effect changes the binding energy. Pairing Energy is defined as:
Energy required to pair two electrons in same orbital.

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