Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

If only two-body interaction is considered then what's the energy if I put three particles on one site?

Assume delta-interaction and interaction strength is proportional to scattering length $a_F$ which depends on the total spin of the two-particle state.

For two particle case, the interaction is simply $\hat U |F,M\rangle = U_F |F,M\rangle $

Suppose the three particles are fermions, then I will take a completely anti-symmetrized spin wave function. But now, how to express the interaction energy in terms of two-body scattering lengths?

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.