Abstract
The possibility of measuring the proton electromagnetic form factors in the time-like region at FAIR with the \( \overline{{P}}\)ANDA detector is discussed. Detailed simulations on signal efficiency for the annihilation of \( \bar{{p}}\) + p into a lepton pair as well as for the most important background channels have been performed. It is shown that precise measurements of the differential cross-section of the reaction \( \bar{{p}}\) + p \( \rightarrow\) e - + e + can be obtained in a wide kinematical range. The determination of the ratio R of the moduli of the electric and magnetic proton form factors will be possible up to a value of momentum transfer squared of q 2 ≃ 14 (GeV/c)^2 with absolute precision from 0.01 to 0.5 (for R ∼ 1 . The total \( \bar{{p}}\) + p \( \rightarrow\) e - + e + cross-section will be measured up to q 2 ≃ 28 (GeV/c)^2. The results obtained from simulated events are compared to the existing data. Sensitivity to the two-photon exchange mechanism is also investigated.
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References
The PANDA Collaboration, Physics Performance Report for PANDA: Strong Interaction Studies with Antiprotons, arXiv:0903.3905 [hep-ex]
E. Tomasi-Gustafsson, M.P. Rekalo, Internal Report DAPNIA 04-01, arXiv:0810.4245 [hep-ph]
M.N. Rosenbluth, Phys. Rev. 79, 615 (1950)
R.G. Arnold et al., Phys. Rev. Lett. 57, 174 (1986)
L. Andivahis et al., Phys. Rev. D 50, 5491 (1994)
C.F. Perdrisat, V. Punjabi, M. Vanderhaeghen, Prog. Part. Nucl. Phys. 59, 694 (2007)
V. Punjabi et al., Phys. Rev. C 71, 055202 (2005)
A.I. Akhiezer, M.P. Rekalo, Sov. Phys. Dokl. 13, 572 (1968) (Dokl. Akad. Nauk Ser. Fiz. 180
A.I. Akhiezer, M.P. Rekalo, Sov. J. Part. Nucl. 4, 277 (1974) (Fiz. Elem. Chast. Atom. Yadra 4
C. Perdrisat, Nucl. Phys. A 827, 267c (2009)
P.A.M. Guichon, M. Vanderhaeghen, Phys. Rev. Lett. 91, 142303 (2003)
A.V. Afanasev, S.J. Brodsky, C.E. Carlson, Y.C. Chen, M. Vanderhaeghen, Phys. Rev. D 72, 013008 (2005)
P.G. Blunden, W. Melnitchouk, J.A. Tjon, Phys. Rev. C 72, 034612 (2005)
D. Borisyuk, A. Kobushkin, Phys. Rev. C 74, 065203 (2006)
C.E. Carlson, M. Vanderhaeghen, Annu. Rev. Nucl. Part. Sci. 57, 171 (2007)
N. Kivel, M. Vanderhaeghen, Phys. Rev. Lett. 103, 092004 (2009)
Yu.M. Bystritskiy, E.A. Kuraev, E. Tomasi-Gustafsson, Phys. Rev. C 75, 015207 (2007)
A. Zichichi, S.M. Berman, N. Cabibbo, R Gatto, Nuovo Cimento 24, 170 (1962)
S.M. Bilenky, C. Giunti, V. Wataghin, Z. Phys. C 59, 475 (1993)
E. Tomasi-Gustafsson, F. Lacroix, C. Duterte, G.I. Gakh, Eur. Phys. J. A 24, 419 (2005)
M. Andreotti et al., Phys. Lett. B 559, 20 (2003) and references therein
G. Bardin et al., Nucl. Phys. B 411, 3 (1994)
BABAR Collaboration (B. Aubert et al.), Phys. Rev. D 73, 012005 (2006)
V.A. Matveev, R.M. Muradian, A.N. Tavkhelidze, Lett. Nuovo Cimento 7, 719 (1973)
S.J. Brodsky, G.R. Farrar, Phys. Rev. Lett. 31, 1153 (1973)
E. Tomasi-Gustafsson, M.P. Rekalo, Phys. Lett. B 504, 291 (2001)
E. Tomasi-Gustafsson, G.I. Gakh, Eur. Phys. J. A 26, 285 (2005)
E.C. Titchmarsh, Theory of Functions (Oxford University Press, London, 1939)
M.P. Rekalo, E. Tomasi-Gustafsson, D. Prout, Phys. Rev. C 60, 042202 (1999)
D.V. Shirkov, I.L. Solovtsov, Phys. Rev. Lett. 79, 1209 (1997)
R. Baldini, C. Bini, P. Gauzzi, M. Mirazita, M. Negrini, S. Pacetti, Nucl. Phys. Proc. Suppl. 162, 46 (2006)
J. Apostolakis, S. Giani, L. Urban, M. Maire, A.V. Bagulya, V.M. Grishin, Nucl. Instrum. Methods A 453, 597 (2000)
K. Föhl et al., Nucl. Instrum. Methods A 595, 88 (2008)
A. Heikkinen, N. Stepanov, J.P. Wellisch, in Proceedings of 2003 Conference for Computing in High-Energy and Nuclear Physics (CHEP 03), La Jolla, California, 24-28 Mar 2003, arXiv:0306008 [nucl-th]
M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1970).
E. Eisenhandler et al., Nucl. Phys. B 96, 109 (1975) and references therein
A. Berglund et al., Nucl. Phys. B 137, 276 (1978)
T. Buran et al., Nucl. Phys. B 116, 51 (1976) and references therein
R704 Collaboration (C. Baglin et al.), Nucl. Phys. B 368, 175 (1992)
R.S. Dulude et al., Phys. Lett. B 79, 329 (1978)
Fermilab E760 Collaboration (T.A. Armstrong et al.), Phys. Rev. D 56, 2509 (1997)
J.F. Gunion, S.J. Brodsky, R. Blankenbecler, Phys. Rev. D 8, 287 (1973)
Z. Was, P. Golonka, G. Nanava, Nucl. Phys. Proc. Suppl. 181, 269 (2008)
D. Marchand, T. Hennino, R. Kunne, S. Ong, B. Ramstein, M. Sudol, E. Tomasi-Gustafsson, HAL:in2p3-00374971, IPNO-DR-08-03
F. Iachello, A.D. Jackson, A. Lande, Phys. Lett. B 43, 191 (1973)
E.L. Lomon, Phys. Rev. C 66, 045501 (2002)
A. Antonelli et al., Nucl. Phys. B 517, 3 (1998)
E835 Collaboration (M. Ambrogiani et al.), Phys. Rev. D 60, 032002 (1999)
B. Delcourt et al., Phys. Lett. B 86, 395 (1979)
D. Bisello et al., Nucl. Phys. B 224, 379 (1983)
BES Collaboration (M. Ablikim et al.), Phys. Lett. B 630, 14 (2005)
CLEO Collaboration (T.K. Pedlar et al.), Phys. Rev. Lett. 95, 261803 (2005)
J. Gunion, L. Stodolsky, Phys. Rev. Lett. 30, 345 (1973)
V. Franco, Phys. Rev. D 8, 826 (1973)
V.N. Boitsov, L.A. Kondratyuk, V.B. Kopeliovich, Sov. J. Nucl. Phys. 16, 287 (1973)
F.M. Lev, Sov. J. Nucl. Phys. 21, 45 (1973)
M.P. Rekalo, E. Tomasi-Gustafsson, Eur. Phys. J. A 22, 331 (2004)
M.P. Rekalo, E. Tomasi-Gustafsson, Nucl. Phys. A 740, 271 (2004)
M.P. Rekalo, E. Tomasi-Gustafsson, Nucl. Phys. A 742, 322 (2004)
Y.C. Chen, C.W. Kao, S.N. Yang, Phys. Lett. B 652, 269 (2007)
G.I. Gakh, E. Tomasi-Gustafsson, arXiv:0801.4646 [nucl-th], to be published in Nucl. Phys. A, doi: 10.1016/ j.nuclphysa.2010.03.005
E. Tomasi-Gustafsson, G.I. Gakh, Phys. Rev. C 72, 015209 (2005)
E. Tomasi-Gustafsson, E.A. Kuraev, S. Bakmaev, S. Pacetti, Phys. Lett. B 659, 197 (2008)
V. Tvaskis, J. Arrington, M.E. Christy, R. Ent, C.E. Keppel, Y. Liang, G. Vittorini, Phys. Rev. C 73, 025206 (2006)
E. Tomasi-Gustafsson, M.O. Osipenko, E.A. Kuraev, Yu. Bystritsky, V.V. Bytev, arXiv:0909.4736 [hep-ph] and references therein
W.M. Alberico, S.M. Bilenky, C. Giunti, K.M. Graczyk, J. Phys. G 36, 115009 (2009)
J. Arrington, Phys. Rev. C 69, 032201 (2004)
G.I. Gakh, E. Tomasi-Gustafsson, Nucl. Phys. A 761, 120 (2005)
G.I. Gakh, E. Tomasi-Gustafsson, Nucl. Phys. A 771, 169 (2006)
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Sudoł, M., Mora Espí, M.C., Becheva, E. et al. Feasibility studies of the time-like proton electromagnetic form factor measurements with \( \overline{{P}}\)ANDA at FAIR. Eur. Phys. J. A 44, 373–384 (2010). https://doi.org/10.1140/epja/i2010-10960-8
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DOI: https://doi.org/10.1140/epja/i2010-10960-8