Abstract.
The role of Poincaré covariant space-time translations is investigated in the case of the pseudoscalar-meson charge form factors. It is shown that this role extends beyond the standard energy-momentum conservation, which is accounted for in all relativistic quantum mechanics calculations. It implies constraints that have been largely ignored until now but should be fulfilled to ensure the full Poincaré covariance. The violation of these constraints, which is more or less important depending on the form of relativistic quantum mechanics that is employed, points to the validity of using a single-particle current, which is generally assumed in calculations of form factors. In short, these constraints concern the relation of the momentum transferred to the constituents to the one transferred to the system. How to account for the related constraints, as well as restoring the equivalence of different relativistic quantum mechanics approaches in estimating form factors, is discussed. Some conclusions relative to the underlying dynamics are given in the pion case.
Similar content being viewed by others
References
P.A.M. Dirac, Rev. Mod. Phys. 21, 392 (1949)
B. Bakamjian, L.H. Thomas, Phys. Rev. 92, 1300 (1953)
B. Keister, W. Polyzou, Adv. Nucl. Phys. 20, 225 (1991)
S.N. Sokolov, A.N. Shatnii, Theor. Math. Phys. 37, 1029 (1978)
A. Amghar, B. Desplanques, L. Theußl, Nucl. Phys. A 714, 213 (2003)
Jun He, B. Julia-Diaz, Yu-bing Dong, Phys. Lett. B 602, 212 (2004)
B. Julia-Diaz, D.O. Riska, F. Coester, Phys. Rev. C 69, 035212 (2004)
Jun He, B. Julia-Diaz, Yu-bing Dong, Eur. Phys. J. A 24, 411 (2005)
F.M. Lev, Riv. Nuovo Cimento 16, 1 (1993)
B. Desplanques, preprint, nucl-th/0407074
B. Desplanques, Y.B. Dong, Eur. Phys. J. A 37, 33 (2008)
G.C. Wick, Phys. Rev. 96, 1124 (1954)
R.E. Cutkosky, Phys. Rev. 96, 1135 (1954)
A. Amghar, B. Desplanques, Few-Body Syst. 28, 65 (2000)
A. Amghar, B. Desplanques, L. Theußl, Nucl. Phys. A 694, 439 (2001)
V. Anisovich, D. Melikhov, N. Nikonov, Phys. Rev. D 52, 5295 (1995)
C.D. Roberts, Nucl. Phys. A 605, 475 (1996)
P. Maris, C.D. Roberts, Phys. Rev. C 58, 3659 (1998)
P. Maris, P.C. Tandy, Phys. Rev. C 62, 055204 (2000)
D. Merten et al., Eur. Phys. J. A 14, 477 (2002)
S. Simula, Phys. Rev. C 66, 035201 (2002)
B. Bakker, H.-M. Choi, C.-R. Ji, Phys. Rev. D 63, 074014 (2001)
J.P.B.C. de Melo et al., Nucl. Phys. A 707, 399 (2002)
A. Faessler, Th. Gutsche, M.A. Ivanov, V.E. Lyubotvitskij, P Wang, Phys. Rev. D 68, 014011 (2003)
L. Theußl, S. Noguera, V. Vento, Eur. Phys. J. A 20, 483 (2004)
A.P. Bakulev et al., Phys. Rev. D 70, 033014 (2004)
S. Noguera, Int. J. Mod. Phys. E 16, 97 (2007)
V. Braguta, W. Lucha, D. Melikhov, Phys. Lett. B 661, 354 (2008)
G.A. Miller, Phys. Rev. C 79, 055204 (2008)
U. Raha, A. Aste, Phys. Rev. D 79, 035015 (2009)
A.P. Bakulev, A.V. Pinikov, N.G. Stefanis, Phys. Rev. D 79, 093010 (2009)
O.A.T. Dias, V.S. Filho, J.P.B.C. de Melo, Nucl. Phys. B Proc. Suppl 199, 281 (2010)
N. Isgur, C.H. Llewellyn Smith, Phys. Rev. Lett. 52, 1080 (1984)
P.L. Chung, F. Coester, W.N. Polyzou, Phys. Lett. B 205, 545 (1988)
F. Cardarelli et al., Phys. Lett. B 332, 1 (1994)
F. Cardarelli, E. Pace, G. Salmé, S. Simula, Phys. Lett. B 357, 267 (1995)
H.-M. Choi, C.-R. Ji, Phys. Rev. D 59, 074015 (1999)
J.P.C.B. de Melo, H.W.L. Naus, T. Frederico, Phys. Rev. C 59, 2278 (1999)
T.W. Allen, W.H. Klink, Phys. Rev. C 58, 3670 (1998)
D. Melikhov, EPJdirect C2 4, 1 (2002) doi:10.1007/s1010502c0002 (hep-ph/0110087)
A.F. Krutov, V.E. Troitsky, Phys. Rev. C 65, 045501 (2002)
A. Amghar, B. Desplanques, L. Theußl, Phys. Lett. B 574, 201 (2003)
F. Coester, W.N. Polyzou, Phys. Rev. C 71, 028202 (2005)
Q.B. Li, D.O. Riska, Phys. Rev. C 77, 045207 (2008)
B. Desplanques, Eur. Phys. J. A 42, 219 (2009)
F.D.R. Bonnet et al., Phys. Rev. D 72, 054506 (2005)
C. Alexandrou, G. Koutsou, H. Neff, PoS LAT2006, 113 (2006)
D. Brommel et al., Eur. Phys. J. C 51, 335 (2007)
S. Simula, PoS LAT2007, 371 (2007)
B. Desplanques, L. Theußl, Eur. Phys. J. A 21, 93 (2004)
B. Bakamjian, Phys. Rev. 121, 1849 (1961)
S.N. Sokolov, Theor. Math. Phys. 62, 140 (1985)
B. Desplanques, Yu-bing Dong, arXiv:0907.2835 [nucl-th]
V.V. Anisovich et al., Nucl. Phys. A 544, 747 (1992)
R. Tarrach, Z. Phys. C 2, 221 (1979)
S.B. Gerasimov, Yad. Fiz. 29, 513 (1979)
V. Bernard, U. Meisner, Phys. Rev. Lett. 61, 2296 (1988)
T. Frederico, G.A. Miller, Phys. Rev. D 45, 4207 (1992)
G.R. Farrar, D.R. Jackson, Phys. Rev. Lett. 43, 246 (1979)
G.P. Lepage, S.J. Brodsky, Phys. Lett. B 87, 359 (1979)
A.V. Efrimov, A.V. Radyushkin, Phys. Lett. B 94, 245 (1980)
J.L. Basdevant, S. Boukraa, Z. Phys. C 30, 103 (1986)
B. Desplanques, Nucl. Phys. A 748, 139 (2005)
C.J. Bebek et al., Phys. Rev. D 17, 1693 (1978)
S.R. Amendolia et al., Nucl. Phys. B 277, 168 (1986)
J. Volmer et al., Phys. Rev. Lett. 86, 1713 (2001)
T. Horn et al., Phys. Rev. Lett. 97, 192001 (2006)
V. Tadevosyan et al., Phys. Rev. C 75, 055205 (2007)
G.M. Huber et al., Phys. Rev. C 78, 045203 (2008)
E.B. Daily et al., Phys. Rev. Lett. 45, 232 (1980)
S.R. Amendolia et al., Phys. Lett. B 178, 435 (1986)
J. Carbonell, B. Desplanques, V.A. Karmanov, J.-F. Mathiot, Phys. Rep. 300, 215 (1998)
J.P.B.C. de Melo et al., Nucl. Phys. A 782, 69 (2007)
F. Gross, G. Ramalho, M.T. Pena, Phys. Rev. C 77, 015202 (2008)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by A. Ramos
Rights and permissions
About this article
Cite this article
Desplanques, B., Dong, Y.B. RQM description of PS meson form factors, constraints from space-time translations and underlying dynamics. Eur. Phys. J. A 47, 13 (2011). https://doi.org/10.1140/epja/i2011-11013-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2011-11013-8