Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1998-06-18
Few-Body Systems 15 (1993) N24
Physics
Nuclear Physics
Nuclear Theory
28 pages, 9 figures
Scientific paper
To study the characteristic features of relativistic bound systems, the Bethe-Salpeter equation (BSE) for two equal mass spin 1/2 particles (like the deuteron) is solved in the cm-frame for a covariant separable interaction kernel. For that purpose the BSE is transformed to an eigenvalue problem which is diagonalized numerically. The Bethe--Salpeter amplitudes (BSAs) are obtained straightforwardly from the resulting eigenvectors. Only positive parity solutions of the eigenvalue problem are considered. To correlate the BSAs to standard quantum mechanical wavefunctions, the corresponding equal-time-wavefunctions (ETWs) are calculated. A decomposition of BSAs and ETWs in partial waves in angular momenta and parity is performed. As a first application elastic electron-deuteron-scattering in the impulse approximation (IA) is considered. The charge, magnetic and quadrupole formfactors $F_C(k^2)$, $F_M(k^2)$, $F_Q(k^2)$ and tensor polarizations $\tilde{t}_{20}(k^2)$, $t_{20} (k^2,\theta_e=70^{\circ})$ are obtained from three independent matrix elements of the deuteron current in the Breit-frame of elastic electron-deuteron-scattering. Additionally, the formfactors $A(k^2)$ and $B(k^2)$ of the Rosenbluth formula are calculated.
Dillig Manfred
Kleefeld Frieder
No associations
LandOfFree
Bethe-Salpeter-Approach to Relativistic Two-Fermion-Systems with a Separable Nonstatic Interaction 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 Bethe-Salpeter-Approach to Relativistic Two-Fermion-Systems with a Separable Nonstatic Interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bethe-Salpeter-Approach to Relativistic Two-Fermion-Systems with a Separable Nonstatic Interaction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-236630