Need help with stable-unstable cores(cells)

[radioactive8]

Hi...!
I was trying to understand the meaning of the binary Energy (E_b) ..
For example :
Imagine we have two cores ... 1 from an X atom and 1 from an Y atom which have the same A and X has bigger E_b than Y ... while Y is the stable core for that exact A ...
That means
Because energy is never lost
E_b + E_Y = E_p + E_n ⇔ ... ⇔

E_b = ( ZM_p + NM_n - M_Y )c²

But what i can't understand is the following

Why isn't X more stable as it has bigger binary energy therefore the same number of protons and netrons are hold by bigger power ?

HOWEVER if we look at the opposite way
Why isn't any core with smaller binary energy and same A than X stablier because its stableness would require less energy ...

But our researches have shown that both above are not true ... but why ?

 

[mfb]

What is "binary energy"? Do you mean "binding energy"?

An atom K can decay into another atom L of the same nucleon number if L has a larger binding energy, the opposite is not possible neglecting electron capture[/size].

 

[radioactive8]

What is "binary energy"? Do you mean "binding energy"?

Yes

An atom K can decay into another atom L of the same nucleon number if L has a larger binding energy, the opposite is not possible neglecting electron capture.

This doent answer my question ...
I am wondering about which cell is stablier K or L (fro your example ) .. and why ...

 

[mfb]

If both are unstable, there is no general rule for their lifetimes, it depends on too many other factors (like nuclear spin, odd/even proton/neutron numbers and so on). The setup you described in post 1 (instable atom with larger binding energy decaying to stable atom with smaller binding energy) is not possible. Again, neglecting electron capture.[/size]