Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1993-06-10
Phys.Rev.C48:2174-2181,1993
Physics
Nuclear Physics
Nuclear Theory
Latex with Revtex, 7 postscript figures (available from the author), SCRI-061093
Scientific paper
10.1103/PhysRevC.48.2174
Levinson's theorem for Dirac particles constraints the sum of the phase shifts at threshold by the total number of bound states of the Dirac equation. Recently, a stronger version of Levinson's theorem has been proven in which the value of the positive- and negative-energy phase shifts are separately constrained by the number of bound states of an appropriate set of Schr\"odinger-like equations. In this work we elaborate on these ideas and show that the stronger form of Levinson's theorem relates the individual phase shifts directly to the number of bound states of the Dirac equation having an even or odd number of nodes. We use a mean-field approximation to Walecka's scalar-vector model to illustrate this stronger form of Levinson's theorem. We show that the assignment of bound states to a particular phase shift should be done, not on the basis of the sign of the bound-state energy, but rather, in terms of the nodal structure (even/odd number of nodes) of the bound state.
No associations
LandOfFree
Levinson's Theorem for Dirac Particles 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 Levinson's Theorem for Dirac Particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Levinson's Theorem for Dirac Particles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-261112