Two-Nucleon Potential from Pion Field Theory with Pseudovector Coupling
Jan 15, 19602 pages
Published in:
- Phys.Rev. 117 (1960) 611-613
View in:
Citations per year
Abstract: (APS)
The two-nucleon potential is derived from ps−pv pion field theory up to orders g2(pκ)2 and g4(pκ), using the method outlined in the preceding paper, where it was applied to ps−ps theory. It is shown that the only quadratic term is −V2(r)(p22κ2)+H.c. [V2(r) is the second-order static potential], just as in the ps−ps case. The static part is almost the same as the ps−ps potential. However, a big difference appears in the L·S potential; because of the difference in kinematical corrections from ps−ps and ps−pv vertices, large L·S potentials result from both one-pion and two-pion exchange diagrams (with no nucleon pairs), though no L·S potential follows from such diagrams in case of ps−ps theory. The entire L·S potential has the right sign in the odd state and is of the same sign and of larger magnitude [by a factor of two or three] in the even state. We show that this isospin dependence of the L·S potential is not appreciably modified even if we add, besides the ps−pv coupling term, two pion-pair terms which are fitted to low-energy S-wave pion-nucleon scattering. This big difference in the L·S potential could eventually be used to discriminate between ps−ps and ps−pv theories. Various L·S potentials, theoretical and phenomenological, are shown on graphs for comparison.References(0)
Figures(0)
Loading ...