Dimer scattering in the epsilon expansion

Details Dimer scattering in the epsilon expansion Dimer scattering in the epsilon expansion

2006-05-29

arxiv.org/abs/nucl-th/0605074v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, 5 figures, LaTeX2e

Scientific paper

The atom-dimer and dimer-dimer scattering lengths are analytically calculated in an expansion around four spatial dimensions for fermions with a large 2-body scattering length 'a'. We find the atom-dimer scattering length a_ad/a = 4/3-2/9 epsilon and the dimer-dimer scattering length a_dd/a = epsilon -0.344 epsilon^2, where epsilon = 4-d and d is the number of spatial dimensions. These ratios a_ad/a = 1.11 and a_dd/a = 0.656 at epsilon = 1 are to be compared with the non-perturbatively calculated numerical results 1.18 and 0.6 respectively. The neutron-deuteron scattering length in the quartet channel a_nD = 4.78 fm is in reasonable agreement with the experimental value 6.35 fm, considering 2-body effective range corrections r_0/a = 0.4 were excluded. The deuteron-deuteron scattering length a_DD = 3.15 fm in the spin-2 channel.

Affiliated with

Also associated with

No associations

Rating

Dimer scattering in the epsilon expansion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dimer scattering in the epsilon expansion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dimer scattering in the epsilon expansion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168236