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Form factors in RQM approaches: constraints from space-time translations, extension to constituents with spin-1/2 and unequal masses

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Publication Date
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HAL-IN2P3
Keywords
  • Electromagnetic Form Factors
  • Relativity
  • Two-Body System
  • 13.40.Gp, 11.10.Qr, 21.45.+V
  • [Phys.Nucl] Physics [Physics]/Nuclear Theory [Nucl-Th]
  • [Phys.Hphe] Physics [Physics]/High Energy Physics - Phenomenology [Hep-Ph]
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Abstract

Constraints related to transformations of currents under space-time translations have been considered for the relativistic quantum mechanics calculation of form factors of $J=0$ systems composed of scalar constituents with equal masses. Accounting for these constraints amounts to take into account many-body currents that restore the equality of the momentum transferred separately to the system and to the constituents, which holds in field-theory approaches but is not generally fulfilled in relativistic quantum mechanics ones. When this was done, discrepancies between results from different approaches could be found to vanish. The results are extended here to systems composed of spin-1/2 constituents with unequal masses. Moreover, as far as the equivalence of different approaches is concerned, some intermediate step could be skipped and the presentation of these results therefore slightly differs from the previous one. Due to the technical aspect of present results, this work is not aimed to be published but it could be useful for some applications like the form factors of the pion or kaon particles.

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