HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

Form factors in relativistic quantum mechanics: Is there a favored approach? Why?

Abstract : Form factors of a simple system have been calculated in various forms of relativistic quantum mechanics, using a single-particle current. Their comparison has shown large discrepancies. The comparison is extented here to instant- and front-form calculations in unusual kinematics as well as to a point-form approach inspired from the Dirac's one (based on a hyperboloid surface). It is found that these new results depend on the momentum transfer, Q, through its ratio to the total mass, Q/M, (closely related to the Breit-frame velocity of the system). They evidence features similar for a part to those shown by an earlier ``point-form'' implementation (based on hyperplanes perpendicular to the velocity of the initial and final states). It thus appears that the standard instant- and front-form calculations, which generally do well compared either to experiment or to predictions of a theoretical model, rather represent exceptional cases. An argument explaining the success of these last approaches is presented and discussed. It is based on Poincare space-time translation invariance.
Document type :
Reports
Complete list of metadata

http://hal.in2p3.fr/in2p3-00022172
Contributor : Lpsc Bibliotheque Connect in order to contact the contributor
Submitted on : Thursday, August 26, 2004 - 5:14:44 PM
Last modification on : Thursday, November 19, 2020 - 12:58:39 PM

Links full text

Identifiers

Collections

LPSC | CNRS | IN2P3 | LARA | GEPI | UGA

Citation

B. Desplanques. Form factors in relativistic quantum mechanics: Is there a favored approach? Why?. 2004, pp.1-25. ⟨in2p3-00022172⟩

Share

Metrics

Record views

8