Pion charge form factor and constraints from space-time translations

DONG Yu-Bing

doi:10.1088/1674-1137/34/9/038

Chinese Physics C> 2010, Vol. 34> Issue(9) : 1342-1345 DOI: 10.1088/1674-1137/34/9/038

Pion charge form factor and constraints from space-time translations

DONG Yu-Bing ^,

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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.

References

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. 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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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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沈阳化工大学材料科学与工程学院沈阳 110142

Pion charge form factor and constraints from space-time translations

DONG Yu-Bing ^,

Corresponding author: DONG Yu-Bing,

Received Date: 2010-02-08
Accepted Date: 1900-01-01
Available Online: 2010-09-05

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.