Abstract.
We investigate the nucleon-to-\(\Delta\) transition form factors in a soft-wall AdS/QCD model and a light-front quark-diquark model inspired by AdS/QCD. From the transition form factors we evaluate the transition charge densities which influences the nucleon-to-\(\Delta\) excitation. Here we consider both the unpolarized and the transversely polarized cases. The AdS/QCD predictions are compared with available experimental data and with the results of the global parameterization, MAID2007.
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References
K. Bermuth, D. Drechsel, L. Tiator, J.B. Seaborn, Phys. Rev. D 37, 89 (1988)
M. Fiolhais, B. Golli, S. Sirca, Phys. Lett. B 373, 229 (1996)
D.H. Lu, A.W. Thomas, A.G. Williams, Phys. Rev. C 55, 3108 (1997)
A. Faessler, T. Gutsche, B.R. Holstein, V.E. Lyubovitskij, D. Nicmorus, K. Pumsa-ard, Phys. Rev. D 74, 074010 (2006)
V. Pascalutsa, M. Vanderhaeghen, Phys. Rev. Lett. 95, 232001 (2005)
S.S. Kamalov, S.N. Yang, Phys. Rev. Lett. 83, 4494 (1999)
S.S. Kamalov, S.N. Yang, D. Drechsel, O. Hanstein, L. Tiator, Phys. Rev. C 64, 032201 (2001)
T. Sato, T.S.H. Lee, Phys. Rev. C 63, 055201 (2001)
L. Tiator, D. Drechsel, S.S. Kamalov, S.N. Yang, Eur. Phys. J. A 17, 357 (2003)
A. Matsuyama, T. Sato, T.-S.H. Lee, Phys. Rep. 439, 193 (2007)
V. Pascalutsa, M. Vanderhaeghen, S.N. Yang, Phys. Rep. 437, 125 (2007)
L. Tiator, D. Drechsel, S.S. Kamalov, M. Vanderhaeghen, Eur. Phys. J. ST 198, 141 (2011)
A.M. Bernstein, C.N. Papanicolas, AIP Conf. Proc. 904, 1 (2007)
V. Pascalutsa, M. Vanderhaeghen, Phys. Rev. D 76, 111501(R) (2007)
H.R. Grigoryan, T.-S.H. Lee, H.U. Yee, Phys. Rev. D 80, 055006 (2009)
L.L. Frankfurt, M.V. Polyakov, M. Strikman, M. Vanderhaeghen, Phys. Rev. Lett. 84, 2589 (2000)
E.E. Jenkins, A.V. Manohar, Phys. Lett. B 335, 452 (1994)
R. Bradford, A. Bodek, H.S. Budd, J. Arrington, Nucl. Phys. Proc. Suppl. 159, 127 (2006)
C. Alexandrou, G. Koutsou, H. Neff, J.W. Negele, W. Schroers, A. Tsapalis, Phys. Rev. D 77, 085012 (2008)
D. Drechsel, S.S. Kamalov, L. Tiator, Eur. Phys. J. A 34, 69 (2007)
G. Ramalho, arXiv:1602.03832 [hep-ph]
G.A. Miller, Phys. Rev. Lett. 99, 112001 (2007)
G.A. Miller, Annu. Rev. Nucl. Part. Sci. 60, 1 (2010)
G.A. Miller, Phys. Rev. C 80, 045201 (2009)
S. Venkat, J. Arrington, G.A. Miller, X. Zhan, Phys. Rev. C 83, 015203 (2011)
L. Tiator, M. Vanderhaeghen, Phys. Lett. B 672, 344 (2009)
L. Tiator, D. Drechsel, S.S. Kamalov, M. Vanderhaeghen, Chin. Phys. C 33, 1069 (2009)
C.E. Carlson, M. Vanderhaeghen, Phys. Rev. Lett. 100, 032004 (2008)
J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998)
J. Polchinski, M.J. Strassler, Phys. Rev. Lett. 88, 031601 (2002)
J. Polchinski, M.J. Strassler, JHEP 05, 012 (2003)
L. Cornalba, M.S. Costa, Phys. Rev. D 78, 096010 (2008)
R.C. Brower, M. Djuric, I. Sarcevic, C.-I. Tan, JHEP 11, 051 (2010)
M.S. Costa, M. Djurić, Phys. Rev. D 86, 016009 (2012)
M.S. Costa, M. Djurić, N. Evans, JHEP 09, 084 (2013)
T. Sakai, S. Sugimoto, Prog. Theor. Phys. 113, 843 (2005)
T. Sakai, S. Sugimoto, Prog. Theor. Phys. 114, 1083 (2005)
S.S. Gubser, A. Nellore, Phys. Rev. D 78, 086007 (2008)
S.J. Brodsky, G.F. de Téramond, Phys. Lett. B 582, 211 (2004)
S.J. Brodsky, G.F. de Téramond, Phys. Rev. Lett. 96, 201601 (2006)
S.J. Brodsky, G.F. de Téramond, Phys. Rev. D 77, 056007 (2006)
J. Erlich, E. Katz, D.T. Son, M.A. Stephanov, Phys. Rev. Lett. 95, 261602 (2005)
T. Sakai, S. Sugimoto, Prog. Theor. Phys. 113, 843 (2005)
Z. Abidin, C.E. Carlson, Phys. Rev. D 79, 115003 (2009)
H. Forkel, M. Beyer, T. Frederico, Int. J. Mod. Phys. E 16, 2794 (2007)
W. de Paula, T. Frederico, H. Forkel, M. Beyer, Phys. Rev. D 79, 75019 (2009)
A. Vega, I. Schimdt, T. Gutsche, V.E. Lyubovitskij, Phys. Rev. D 83, 036001 (2011)
A. Vega, I. Schimdt, T. Gutsche, V.E. Lyubovitskij, Phys. Rev. D 83, 036001 (2011)
A. Vega, I. Schimdt, T. Gutsche, V.E. Lyubovitskij, Phys. Rev. D 85, 096004 (2012)
T. Gutsche, V.E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D 86, 036007 (2012)
Z. Abidin, C.E. Carlson, Phys. Rev. D 77, 095007 (2008)
S.J. Brodsky, G.F. de Téramond, Phys. Rev. D 77, 056007 (2008)
S.J. Brodsky, G.F. de Téramond, Phys. Rev. D 78, 025032 (2008)
S.J. Brodsky, G.F. de Téramond, Phys. Rev. D 83, 036011 (2011)
S.J. Brodsky, G.F. de Téramond, Phys. Rev. D 85, 096004 (2012)
S.J. Brodsky, G.F. de Téramond, arXiv:1203.4025 [hep-ph]
G.F. de Teramond, H.G. Dosch, S.J. Brodsky, Phys. Rev. D 87, 075005 (2013)
H.R. Grigoryan, A.V. Radyushkin, Phys. Rev. D 76, 095007 (2007)
A. Vega, I Schmidt, T. Branz, T. Gutsche, V.E. Lyubovitskij, Phys. Rev. D 80, 055014 (2009)
T. Branz, T. Gutsche, V.E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D 82, 074022 (2010)
T. Gutsche, V.E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D 85, 076003 (2012)
T. Gutsche, V.E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D 87, 056001 (2013)
T. Gutsche, V.E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D 90, 096007 (2014)
D. Chakrabarti, C. Mondal, Phys. Rev. D 88, 073006 (2013)
D. Chakrabarti, C. Mondal, Eur. Phys. J. C 73, 2671 (2013)
D. Chakrabarti, C. Mondal, Eur. Phys. J. C 74, 2962 (2014)
C. Mondal, Eur. Phys. J. C 76, 74 (2016)
K. Hashimoto, T. Sakai, S. Sugimoto, Prog. Theor. Phys. 120, 1093 (2008)
Z. Abidin, C.E. Carlson, Phys. Rev. D 78, 071502 (2008)
S.J. Brodsky, G.F. de Teramond, H.G. Dosch, J. Erlich, Phys. Rep. 584, 1 (2015)
T. Gutsche, V.E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D 87, 016017 (2013)
H.C. Ahn, D.K. Hong, C. Park, S. Siwach, Phys. Rev. D 80, 054001 (2009)
T. Gutsche, V.E. Lyubovitskij, I. Schmidt, A. Vega, Phys. Rev. D 89, 054033 (2014)
C. Mondal, D. Chakrabarti, Eur. Phys. J. C 75, 261 (2015)
D. Chakrabarti, C. Mondal, A. Mukherjee, Phys. Rev. D 91, 114026 (2015)
D. Chakrabarti, C. Mondal, Phys. Rev. D 92, 074012 (2015)
T. Maji, C. Mondal, D. Chakrabarti, O.V. Teryaev, JHEP 01, 165 (2016)
D. Chakrabarti, T. Maji, C. Mondal, A. Mukherjee, Eur. Phys. J. C 76, 409 (2016)
C. Mondal, D. Chakrabarti, Few Body Syst. 57, 723 (2016)
D. Chakrabarti, C. Mondal, A. Mukherjee, Few Body Syst. 57, 437 (2016)
S.J. Brodsky, S.D. Drell, Phys. Rev. D 22, 2236 (1980)
S.J. Brodsky, D.S. Hwang, Nucl. Phys. B 543, 239 (1999)
S.J. Brodsky, D.S. Hwang, B.-Q. Ma, I. Schmidt, Nucl. Phys. B 593, 311 (2001)
S.J. Brodsky, M. Diehl, D.S. Hwang, Nucl. Phys. B 596, 99 (2001)
S. Stein et al., Phys. Rev. D 12, 7 (1975)
A.N. Villano et al., Phys. Rev. C 80, 035203 (2009)
I.G. Aznauryan et al., Phys. Rev. C 80, 055203 (2009)
M. Ungaro et al., Phys. Rev. Lett. 97, 112003 (2006)
V.V. Frolov et al., Phys. Rev. Lett. 82, 45 (1999)
K. Joo et al., Phys. Rev. Lett. 88, 122001 (2002)
C. Mertz et al., Phys. Rev. Lett. 86, 2963 (2001)
N.F. Sparveris et al., Phys. Rev. Lett. 94, 022003 (2005)
H.F. Jones, M.D. Scadron, Ann. Phys. (Leipzig) 81, 1 (1973)
O.V. Selyugin, O.V. Teryaev, Phys. Rev. D 79, 033003 (2009)
C. Granados, C. Weiss, JHEP 01, 092 (2014)
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Chakrabarti, D., Mondal, C. Nucleon-to-\(\Delta\) transition form factors and empirical transverse charge densities. Eur. Phys. J. A 52, 285 (2016). https://doi.org/10.1140/epja/i2016-16285-8
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DOI: https://doi.org/10.1140/epja/i2016-16285-8