Abstract
The electromagnetic current J + for spin-1, is used here to extract the electromagnetic form-factors of a light-front constituent quark model. The charge (G 0), magnetic (G 1) and quadrupole G 2 form factors are calculated using different prescriptions known in the literature, for the combinations of the four independent matrix elements of the current between the polarisations states in the Drell–Yan frame. However, the results for some prescriptions relying only on the valence contribution breaks the rotational symmetry as they violate the angular condition. In the present work, we use some relations between the matrix elements of the electromagnetic current in order to eliminate the breaking of the rotational symmetry, by computing the zero-mode contributions to matrix elements resorting only to the valence ones.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Terentév M.V.: On the structure of wave functions of mesons as bound states of relativistic quarks. Sov. J. Nucl. Phys. 24, 106 (1976)
Kondratyuk L.A., Terentév M.V.: The scattering problem for relativistic systems with fixed number of particles. Sov. J. Nucl. Phys. 31, 561 (1980)
Brodsky S.J., Pauli H.-C., Pinsky S.S.: Quantum chromodynamics and other field theories on the light cone. Phys. Rep. 301, 299 (1998)
de Melo J.P.B.C., Frederico T.: Covariant and light front approaches to the rho meson electromagnetic form factors. Phys. Rev. C 55, 2043 (1997)
de Melo J.P.B.C., Sales J.H.O., Frederico T., Sauer P.U.: Pairs in the light front and covariance. Nucl. Phys. A 631, 574c (1998)
Naus H.W.L., de Melo J.P.B.C., Frederico T.: Ward–Takahashi identity on the light front. Few Body Syst. 24, 99 (1998)
de Melo J.P.B.C., Frederico T., Naus H.W.L., Sauer P.U.: Pion electromagnetic current in the light cone formalism. Nucl. Phys. A A660, 219 (1999)
El-Bennich Bruno., de Melo J.P.B.C., Frederico T.: A combined study of the pion’s static properties and form factors. Few Body Syst. 54, 1863 (2013)
de Melo J.P.B.C., El-Bennich B., Frederico T.: The photon–pion transition form factor: incompatible data or incompatible models?. Few Body Syst. 55, 373 (2014)
Bakker B.L.G., Ji C.R.: The vector meson form factor analysis in light front dynamics. Phys. Rev. D 65, 116001 (2002)
Choi H.-M., Ji C.R.: Electromagnetic structure of the rho meson in the light front quark model. Phys. Rev. D 70, 053015 (2004)
de Melo J.P.B.C., Frederico T., Pace E., Salmé G.: Frame dependence of the pair contribution to the pion electromagnetic form factor in a light front approach. Braz. J. Phys. 33, 301 (2003)
de Melo J.P.B.C., Naus H.W.L., Frederico T.: Pion electromagnetic current in the light cone formalism. Phys. Rev. C 59, 2278 (1999)
Grach I.L., Kondratyuk L.A.: Electromagnetic form factor of deuteron in relativistic dynamics: two nucleon and six quark components. Sov. J. Nucl. Phys. 39, 198 (1984)
Grach I.L., Kondratyuk L.A., Strikman M.: Is the structure in the deuteron magnetic form factor at Q 2 approximately = 2−Gev 2 a new evidence for nuclear core?. Phys. Rev. Lett. 62, 387 (1989)
Brodsky S.J., Hiller J.R.: Universal properties of the electromagnetic interactions of spin one systems. Phys. Rev. D 46, 2141 (1992)
Frankfurt L.L., Frederico T., Strikman M.: Deuteron form factors in the light cone quantum mechanics ’good’ component approach. Phys. Rev. C 48, 2182 (1993)
Chung P.L., Polyzou W.N., Coester F., Keister B.D.: Hamiltonian light front dynamics of elastic electron deuteron scattering. Phys. Rev. C 37, 2000 (1988)
de Melo J.P.B.C., Frederico T.: Light-front projection of spin-1 electromagnetic current and zero-modes. Phys. Lett. B 708, 87 (2012)
de Melo J.P.B.C., Frederico T., Pace E., Salmé G.: Pair term in the electromagnetic current within the front form dynamics: Spin-0 case. Nucl. Phys. A 07, 399 (2002)
Pereira Fabiano P., de Melo J.P.B.C., Frederico T., Tomio L.: Kaon electromagnetic form factor in the light-front formalism. Phys. Elem. Part. At. Nucl. 36, 217 (2005)
Silva Edson O., de Melo J.P.B.C., El-Bennich Bruno., Filho Victo S.: Pion and kaon elastic form factors in a refined light-front model. Phys. Rev. C 86, 038202 (2012)
de Melo J.P.B.C., Tsushima K., El-Bennich Bruno., Rojas E., Frederico T.: Pion structure in the nuclear medium. Phys. Rev. C 90, 035201 (2014)
Keister B.D., Polizou W.N.: Relativistic Hamiltonian dynamics in nuclear and particle physics. Adv. Nucl. Phys. 20, 225 (1991)
Cardarelli F., Grach I.L., Narodetsky I.M., Salme G., Simula S.: Electromagnetic form factors of the rho meson in a light front constituent quark model. Phys. Lett. B 349, 393 (1995)
de Melo, J.P.B.C., Frederico, T.: Electromagnetic form factor of a composed vector particle in the light-front. hep-ph/0311079
de Melo J.P.B.C., Frederico T.: Eletroweak form factors in the light-front for spin-1 particles. Few Body Syst. 52, 403 (2012)
Olive, K.A., Particle Data Group: The review of particle physics. Chin. Phys. C 38, 090001 (2014)
Author information
Authors and Affiliations
Corresponding author
Additional information
Presented by J. P. B. C. de Melo at LIGHT-CONE 2014, May, NCSU-USA.
Rights and permissions
About this article
Cite this article
de Melo, J.P.B.C., da Silva, A.N., Mello, C.S. et al. Electromagnetic Spin-1 Form-Factor Free of Zero-Modes. Few-Body Syst 56, 503–508 (2015). https://doi.org/10.1007/s00601-014-0942-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-014-0942-z