Abstract.
In this work, we have studied the total scattering cross section (\(\sigma\), differential scattering cross section (\( \mathrm{d}\sigma/\mathrm{d} Q^{2}\)) as well as the longitudinal (\( P_L(E_{e},Q^{2})\)), perpendicular (\( P_{P}(E_{e},Q^{2})\)), and transverse (\( P_{T}(E_{e},Q^{2})\)) components of the polarization of the final hadron (n, \(\Lambda\) and \(\Sigma^{0}\)) produced in the electron proton scattering induced by the weak charged current. We have not assumed T-invariance which allows the transverse component of the hadron polarization perpendicular to the production plane to be non-zero. The numerical results are presented for all the above observables and their dependence on the axial vector form factor and the weak electric form factor are discussed. The present study enables the determination of the axial vector nucleon-hyperon transition form factors at high \( Q^{2}\) in the strangeness sector which can provide a test of the symmetries of the weak hadronic currents like T-invariance and SU(3) symmetry while assuming the hypothesis of conserved vector current and partial conservation of axial vector current.
Similar content being viewed by others
References
V. Punjabi et al., Eur. Phys. J. A 51, 79 (2015)
S. Pacetti et al., Phys. Rep. 550-551, 1 (2015)
T.D. Lee, C.N. Yang, Phys. Rev. 126, 2239 (1962)
M.M. Block, in Symmetries in Elementary Particle Physics, edited by A. Zichichi (Academic Press, 1965)
M. Block, National Accelerator Laboratory 1968 Summer Study, Report B, 1-68-42, Vol. 1, p. 215
S.L. Adler, Nuovo Cimento 30, 1020 (1963) 32
I.J. Ketley, Nuovo Cimento 38, 302 (1965)
S.M. Berman, M. Veltman, Phys. Lett. 12, 275 (1964)
A. Fujii, Y. Yamaguchi, Prog. Theor. Phys. 33, 552 (1965)
A. Fujii, Y. Yamaguchi, Nuovo Cimento 43, 325 (1966)
F. Cannata, R. Leonardi, F. Strocchi, Phys. Rev. D 1, 191 (1970)
M.G. Doncel, E. De Rafael, Nuovo Cimento A 4, 363 (1971)
A. De Rujula, E. De Rafael, Phys. Lett. B 32, 495 (1970)
H. Okamura, Prog. Theor. Phys. 45, 1707 (1971)
D.D. Javannic, M.M. Block, National Accelerator Laboratory 1969 Summer Study, Vol. 0014, p. 231
A. Pais, Ann. Phys. 63, 361 (1971)
C.H. Llewellyn Smith, Phys. Rep. 3, 261 (1972)
R.E. Marshak, Riazuddin, C.P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley-Interscience, 1969)
M.M. Block et al., Phys. Rev. Lett. 12, 262 (1964)
N. Cabibbo, F. Chilton, Phys. Rev. 137, B1628 (1965)
L. Egardt, Nuovo Cimento 29, 954 (1963)
O. Erriquez et al., Nucl. Phys. B 140, 123 (1978)
O. Erriquez et al., Phys. Lett. B 70, 383 (1977)
T. Eichten et al., Phys. Lett. B 40, 593 (1972)
G. Fanourakis et al., Phys. Rev. D 21, 562 (1980)
V.V. Ammosov et al., Z. Phys. C 36, 377 (1987)
V.V. Ammosov et al., JETP Lett. 43, 716 (1986) Pisma Zh. Eksp. Teor. Fiz. 43
SKAT Collaboration (J. Brunner et al.), Z. Phys. C 45, 551 (1990)
T2K Collaboration (A. Longhin), EPJ Web of Conferences 164, 01017 (2017)
MicroBooNE Collaboration (A. Furmanski), PoS NOW 2016, 014 (2017)
DUNE Collaboration (B. Abi), arXiv:1706.07081 [physics.ins-det]
ICARUS Collaboration (F. Varanini), EPJ Web of Conferences 164, 07017 (2017)
K.M. Graczyk, B.E. Kowal, arXiv:1711.04868 [hep-ph].
F. Akbar, M. Rafi Alam, M. Sajjad Athar, S.K. Singh, Phys. Rev. D 94, 114031 (2016)
K.S. Kuzmin, V.V. Lyubushkin, V.A. Naumov, Mod. Phys. Lett. A 19, 2815 (2004) Phys. Part. Nucl. 35
K.M. Graczyk, Nucl. Phys. Proc. Suppl. 139, 150 (2005)
K. Hagiwara, K. Mawatari, H. Yokoya, Nucl. Phys. Proc. Suppl. 139, 140 (2005)
K.M. Graczyk, Nucl. Phys. A 748, 313 (2005)
S.M. Bilenky, E. Christova, J. Phys. G 40, 075004 (2013)
S.M. Bilenky, E. Christova, Phys. Part. Nucl. Lett. 10, 651 (2013)
M. Valverde, J.E. Amaro, J. Nieves, C. Maieron, Phys. Lett. B 642, 218 (2006)
K.S. Kuzmin, V.V. Lyubushkin, V.A. Naumov, Mod. Phys. Lett. A 19, 2919 (2004)
T. Katori, M. Martini, J. Phys. G 45, 013001 (2018)
J.G. Morfin, J. Nieves, J.T. Sobczyk, Adv. High Energy Phys. 2012, 934597 (2012)
J.A. Formaggio, G.P. Zeller, Rev. Mod. Phys. 84, 1307 (2012)
N. Cabibbo, Phys. Lett. 12, 137 (1964)
S.L. Glashow, Phys. Rev. Lett. 14, 35 (1965)
H.W. Fearing, P.C. McNamee, R.J. Oakes, Nuovo Cimento A 60, 10 (1969)
W.Y.P. Hwang, E.M. Henley, Phys. Rev. D 38, 798 (1988)
S.L. Mintz, J. Phys. G 30, 565 (2004)
S.L. Mintz, M.A. Barnett, Phys. Rev. D 66, 117501 (2002)
S.L. Mintz, Nucl. Phys. A 690, 711 (2001)
F. Akbar, M. Sajjad Athar, A. Fatima, S.K. Singh, Eur. Phys. J. A 53, 154 (2017)
N. Cabibbo, E.C. Swallow, R. Winston, Annu. Rev. Nucl. Part. Sci. 53, 39 (2003)
S. Weinberg, Phys. Rev. 112, 1375 (1958)
M.L. Goldberger, S.B. Treiman, Phys. Rev. 111, 354 (1958)
Y. Nambu, Phys. Rev. Lett. 4, 380 (1960)
H. Ohtsubo, A. Fujii, Nuovo Cimento A 42, 109 (1966)
L.A. Ahrens et al., Phys. Lett. B 202, 284 (1988)
B.R. Holstein, in Hyperon 99, Proceedings of the Hyperon Physics Symposium Fermilab, Sept. 27--29, 1999, edited by D.A. Jensen, E. Monnier, Fermilab rep. FERMILAB-Conf-00/059-E (2000)
R. Bradford et al., Nucl. Phys. Proc. Suppl. 159, 127 (2006)
V. Bernard, L. Elouadrhiri, U.G. Meissner, J. Phys. G 28, R1 (2002)
R. Oehme, R. Winston, A. Garcia, Phys. Rev. D 3, 1618 (1971)
S.M. Bilenky, Basics of Introduction to Feynman Diagrams and Electroweak Interactions Physics (Editions Frontières, 1994)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Shi-Lin Zhu
Rights and permissions
About this article
Cite this article
Fatima, A., Sajjad Athar, M. & Singh, S.K. Polarization observables and T-noninvariance in the weak charged current induced electron proton scattering. Eur. Phys. J. A 54, 95 (2018). https://doi.org/10.1140/epja/i2018-12534-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2018-12534-2