Abstract
The study of nucleon electromagnetic form factors has long been identified as a singular source of information for conception strong interactions in the extent of quark confinement. We have performed a calculation of the helicity amplitudes and the electromagnetic transition form factors of the electromagnetic excitation in \(\Delta \)(1232) resonances. In this paper, the electromagnetic interaction for N \((938)\rightarrow \Delta (1232)\) transitions at four-momenta transfer \(0 \le \hbox {Q2}(\hbox {GeV}^\mathrm{{2}}) \le 8\) in the nonrelativistic constituent quark model calculated. In comparison with present experimental, relativistic and non-relativistic data, our results are in good agreement with the experimental and the other theoretical results, in particular of the medium-high \(\hbox {Q}^{2}\) behavior.
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References
I.G. Aznauryan et al., Phys. Rev. C 78, 045209 (2008)
L. Zhenping, D. Yubing, M. Weihsing, J. Phys. G 23, 151 (1997)
I.G. Aznauryan, V.D. Burkert, JLAB-PHY-11-1409
Z.P. Li, V. Burkert, Zh Li, Phys. Rev. D 46, 70 (1992)
F.E. Close, Z. Li, Phys. Rev. D 42, 2194 (1990)
F. Halzen, A.D. Martin, Quarks and Leptons (Wiley, New York, 1984)
I.G. Aznauryan et al., Int. J. Mod. Phys. E 22, 1330015 (2013)
T. Kubota, K. Ohta, Phys. Lett. B 65, 374 (1976)
S. Capstick, B.D. Keister, Phys. Rev. D 51, 3598 (1995)
A.J. Buchmann, E. Hernandez, U. Meyer, A. Faessler, Phys. Rev. C 58, 2478 (1998)
M.M. Giannini, EPJ Web of Conferences, vol. 73, p. 04017 (2014)
H.H. Matevosyan, G.A. Miller, A.W. Thomas, Phys. Rev. C 71, 055204 (2005)
R.G. Edwards, Nucl. Phys. Proc. Suppl. 140, 290 (2005)
M. Gockeler et al., Phys. Rev. D 71, 034508 (2005)
V.D. Burkert, T.S.H. Lee, Int. J. Mod. Phys. E 13, 108 (2004)
M. De Sanctis, E. Santopinto, M.M. Giannini, Eur. Phys. J. A 1, 187–192 (1998)
R.M. Barnett et al., Phys. Rev. D 54, 1 (1996)
F.E. Close, Introduction to Quarks and Partons (Academic, New York, 1978)
L.A. Copley, G. Karl, E. Obryk, Nucl. Phys. B 13, 303 (1969)
R.P. Feynman, M. Kislinger, F. Ravndal, Phys. Rev. D 3, 2706 (1971)
R. Bijker, F. Iachello, A. Leviatan, Ann. Phys. (N.Y.) 236, 69 (1994)
M. Aiello et al., Phys. Lett. B 387, 215 (1996)
Z. Dziembowski, M. Fabre de la Ripelle, G.A. Miller, Phys. Rev. C 53, R2038 (1996)
N. Isgur, G. Karl, Phys. Rev. D 18, 4187 (1978)
N. Isgur, G. Karl, Phys. Rev. D 19, 2653 (1979)
N. Isgur, G. Karl, Phys. Rev. D 20, 1191 (1979)
M.M. Giannini, Rep. Prog. Phys. 54, 453 (1991)
L.A. Copley, G. Karl, E. Obryk, Phys. Lett. 29, 117 (1969)
R. Koniuk, N. Isgur, Phys. Rev. D 21, 1868 (1980)
S. Parsaei, A.A. Rajabi, Eur. Phys. J. Plus 132, 413 (2017)
M. De Sanctis, M.M. Giannini, E. Santopinto, A. Vassallo, Eur. Phys. J. A 19, 81–85 (2004)
S. Parsaei, A.A. Rajabi, Eur. Phys. J. Plus 133(7), 265 (2018)
S. Parsaei, A.A. Rajabi, Commun. Theor. Phys. 69, 43 (2018)
Y.B. Dong, M.M. Giannini, E. Santopinto, A. Vassallo, Few Body Syst. 55, 873 (2014)
E. Fermi, H. Anderson, A. Lundby, D. Nagle, G. Yodh, Phys. Rev. 85, 935 (1952)
H. Anderson, E. Fermi, E. Long, D. Nagle, Phys. Rev. 85, 936 (1952)
D.E. Nagle, The Delta: The First Pion Nucleon Resonance, Its Discovery and Applications. Los Alamos National Laboratory report no. LALP-84-27 (1984)
E. Santopinto, M.M. Giannini, Phys. Rev. C 86, 065202 (2012) and references quoted therein
P. Bartsch et al., Phys. Rev. Lett. 88, 142001 (2002)
A.J. Buchmann, E. Hernandez, A. Faessler, Phys. Rev. C 55, 448 (1997)
K. Azizi, Eur. Phys. J. C 61, 311–319 (2009)
V.M. Braun, A. Lenz, G. Peters, A.V. Radyushkin, Phys. Rev. D 73, 034020 (2006)
J.J. Kelly et al., Phys. Rev. C 75, 025201 (2007)
S.J. Brodsky, S.D. Drell, Phys. Rev. D 22, 2236 (1980)
S. Capstick, W. Roberts, Prog. Part. Nucl. Phys. 45, S241 (2000)
D. Drechsel, S.S. Kamalov, L. Tiator, Eur. Phys. J. A 34, 69 (2007)
K. Joo et al. (JLab-CLAS), Phys. Rev. Lett. 88, 122001-1 (2002)
G. Laveissi\_ere et al. (JLab-Hall A), Phys. Rev. C 69, 045202 (2004)
T.M. Aliev, K. Azizi, A. Ozpineci, M. Savci, Phys. Rev. D 77, 114014 (2008)
T.M. Aliev, K. Azizi, A. Ozpineci, Nucl. Phys. A 799, 105–126 (2008)
F.E. Close, A. Donnachie, G. Shaw, Electromagnetic Interactions and Hadronic Structure (Cambridge University Press, Cambridge, 2006)
M. Ronniger, BCh. Metsch, Eur. Phys. J. A 49, 8 (2013)
T. Bartel et al., Nucl. Phys. B 58, 469 (1973)
S. Stein et al., Phys. Rev. D 12, 1884 (1975)
D. Drechsel, S.S. Kamalov, L. Tiator, Eur. Phys. J. A 34, 69 (2007)
L. Tiator, D. Drechsel, S.S. Kamalov, M. Vanderhaeghen, Chin. Phys. C 33, 1069 (2009)
L. Tiator, D. Drechsel, S. Kamalov, M.M. Giannini, E. Santopinto, A. Vassallo, Eur. Phys. J. A 19(s01), 55 (2004)
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Parsaei, S. Electromagnetic Transition Form Factor of the Nucleon \(\Delta \) (1232) in The Nonrelativistic Constituent Quark Model. Few-Body Syst 60, 60 (2019). https://doi.org/10.1007/s00601-019-1527-7
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DOI: https://doi.org/10.1007/s00601-019-1527-7