Semiclassical deuteron
Abstract
A systematic semiclassical treatment of the deuteron is presented here. This leads to a semiclassical matrix Hamiltonian for the deuteron. At the semiclassical level, it is interesting to see that there exists a Bohm-Aharonov-like vector potential which plays a role in the semiclassical quantization. It is shown that the ground state of the deuteron resides on two potential energy surfaces—one binding and the other scattering type. The 3S1 and 3D1 components are mixed by having coefficients that are functions of the relative separation between proton and neutron. These coefficients naturally turn out to be very weakly dependent functions of the coordinate, which explains why the phenomenological constant coefficients work well. Further, the two admixed components move with two effective masses, leading to the existence of 'mass states' within the ground state, separated by a few MeV.
- Publication:
-
Journal of Physics G Nuclear Physics
- Pub Date:
- February 2004
- DOI:
- 10.1088/0954-3899/30/2/013
- Bibcode:
- 2004JPhG...30..157J