Nucleon form factors: the space-time connection

  • Analyticity of nucleon form factors allows to derive sum rules which, using space-like and time-like data as input, can give unique information about behaviors in energy regions not experimentally accessible. Taking advantage from new time-like data on proton-antiproton differential cross section and hence the possibility to separate electric and magnetic form factors also in the time-like region, we verify the consistency of the asymptotic behavior predicted by the perturbative QCD for the proton magnetic form factor.

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  • [1] . Brodsky S J, Farrar G R. Phys. Rev. Lett., 1974, 31: 1153;Matveev V A, Muradian R M, Tavkhelidze A N. Lett.Nuovo Cim., 1973, 7: 7192. Geshkenbeǐn B V, Io e B L, Shifman M A. Yad. Fiz., 1974,20: 128; Sov. J. Nucl. Phys., 1975, 20: 663. Christy M E et al (E94110 collaboration). Phys. Rev. C,2004, 70: 015206 [arXiv:nucl-ex/0401030]; Andivahis L etal. Phys. Rev. D, 1994, 50: 5491; Walker R C et al. Phys.Rev. D, 1994, 49: 5671; Sill A F et al. Phys. Rev. D,1993, 48: 29; Simon G G et al. Nucl. Phys. A, 1980, 333:381; Akimov Yu K et al. Sov. J. Nucl. Phys., 1979, 29:474 [Yad. Fiz., 1979, 29: 922]; Martin F et al. Phys. Rev.Lett., 1977, 38: 1320; Stein S et al. Phys. Rev. D, 1975,12: 1884; Borkowski F et al. Nucl. Phys. B, 1975, 93: 461;Borkowski F et al. Nucl. Phys. A, 1974, 222: 269; BartelW et al. Nucl. Phys. B, 1973, 58: 4294. Aubert B et al (BABAR collaboration). Phys. Rev. D,2006, 73: 012005 [arXiv:hep-ex/0512023]5. Pacetti S. Eur. Phys. J. A, 2007, 32: 421; Baldini R et al.Eur. Phys. J. C, 2006, 46: 421 [arXiv:hep-ph/0507085]6. Titchmarsh E C. Theory of functions. London: Oxford University Press. 1939
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S. Pacetti1 and 2. Nucleon form factors: the space-time connection[J]. Chinese Physics C, 2010, 34(6): 874-876.
S. Pacetti1 and 2. Nucleon form factors: the space-time connection[J]. Chinese Physics C, 2010, 34(6): 874-876. shu
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Received: 2010-02-05
Revised: 1900-01-01
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Nucleon form factors: the space-time connection

  • 1 INFN, Laboratori Nazionali di Frascati, Frascati, Italy2 Museo Storico della Fisica e Centro Studi e Ricerche

Abstract: 

Analyticity of nucleon form factors allows to derive sum rules which, using space-like and time-like data as input, can give unique information about behaviors in energy regions not experimentally accessible. Taking advantage from new time-like data on proton-antiproton differential cross section and hence the possibility to separate electric and magnetic form factors also in the time-like region, we verify the consistency of the asymptotic behavior predicted by the perturbative QCD for the proton magnetic form factor.

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