How to calculate the nuclear repulsive force?

[Jan Nebec]

Hello!

I'm wondering if there is a simple formula to calculate nuclear repulsive force at given distance between a proton and neutron? For example at 0,5 fm between them...

Thank you!

 

[Vanadium 50]

There is not.

 

[vanhees71]

Sure, the nuclear force gets repulsive at short distances (for distances less than about 0.8 fm or so). Today there are two standard methods to quantitatively address this problem: One is decades old and uses nuclear potentials, which are based on detailed phenomenology on nucleon-nucleon scattering, sometimes derived from effective one- and/or multiple-boson-exchange models (like the Walecka model).

The other is more modern and has the ambitious goal to derive the potential from chiral symmetry, which is the appropriate effective low-energy theory of QCD using hadrons as the relevant field-degrees of freedom.

See, e.g.,

https://en.wikipedia.org/wiki/Nuclear_force
https://arxiv.org/abs/1105.2919
https://arxiv.org/abs/1001.3229

 

[Vanadium 50]

Yes, but he asked for a simple formula. Even the curves on Wikipedia don't have a simple formula associated with them. Because nuclear potentials are not simple.

 

[vanhees71]

Well, that's indeed true. Sigh...

 

[Jan Nebec]

Thank you for answer :)
I think I got what I needed!