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2024年10月30日

Pion charge form factor and constraints from space-time translations

  • The role of Poincare covariant space-time translations is investigated in the case of a relativistic quantum mechanics approach to the pion charge form factor. It is shown that the related constraints are generally inconsistent with the assumption of a single-particle current, which is most often referred to. The only exception is the front-form approach with q+=0. How accounting for the related constraints, as well as restoring the equivalence of different RQM approaches in estimating form factors, is discussed. Some extensions of this work and, in particular, the relationship with a dispersion-relation approach, are presented. Conclusions relative to the underlying dynamics are given.

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  • [1] . Dirac P A M. Rev. Mod. Phys., 1949, 21: 3922. Amghar A, Desplanques B, Theuβl L. Phys. Lett. B, 2003,574: 2013. HE J, Julia-Diaz B, DONG Y B. Phys. Lett. B, 2004, 602:2124. Bakamjian B, Thomas L H. Phys. Rev., 1953, 92: 13005. Keister B, Polyzou W. Adv. Nucl. Phys., 1991, 20: 2256. Sokolov S N, Shatnii A N. Theor. Math. Phys., 1978, 37:10297. Desplanques B. [nucl-th/0407074]8. Desplanques B, DONG Y B. Eur. Phys. J. A, 2008, 37: 339. Lev F M. Rivista del Nuovo Cimento, 1993, 16: 110. Wick G C. Phys. Rev., 1954, 96: 112411. Cutkosky R E. Phys. Rev., 1954, 96: 113512. B. Desplanques, Eur. Phys. J. A, 2009, 42: 21913. Desplanques B, Theuβl L. Eur. Phys. J. A, 2004, 21: 9314. Desplanques B, DONG Y B. arXiv:0907.2835 [nucl-th]15. Amghar A, Desplanques B, Theul L. Nucl. Phys. A, 2003,714: 21316. Bakamjian B. Phys. Rev., 1961, 121: 184917. Desplanques B. Nucl. Phys. A, 2005, 748: 13918. Melikhov D. Eur. Phys. J. direct C, 2002, 4: 2 [hep-ph/0110087]19. Krutov A F, Troitsky V E. Phys. Rev. C, 2002, 65: 045501
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Get Citation
DONG Yu-Bing. Pion charge form factor and constraints from space-time translations[J]. Chinese Physics C, 2010, 34(9): 1342-1345. doi: 10.1088/1674-1137/34/9/038
DONG Yu-Bing. Pion charge form factor and constraints from space-time translations[J]. Chinese Physics C, 2010, 34(9): 1342-1345.  doi: 10.1088/1674-1137/34/9/038 shu
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Received: 2010-02-08
Revised: 1900-01-01
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Pion charge form factor and constraints from space-time translations

    Corresponding author: DONG Yu-Bing,

Abstract: 

The role of Poincare covariant space-time translations is investigated in the case of a relativistic quantum mechanics approach to the pion charge form factor. It is shown that the related constraints are generally inconsistent with the assumption of a single-particle current, which is most often referred to. The only exception is the front-form approach with q+=0. How accounting for the related constraints, as well as restoring the equivalence of different RQM approaches in estimating form factors, is discussed. Some extensions of this work and, in particular, the relationship with a dispersion-relation approach, are presented. Conclusions relative to the underlying dynamics are given.

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