A simple relation between the gamma N -> N(1535) helicity amplitudes

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It is shown that the helicity amplitudes A{sub 1/2} and S{sub 1/2} in the {gamma}N {yields} N(1535) reaction, can be well related by S{sub 1/2} = {radical}1+{tau}/{radical}2 M{sub S}{sup 2}-M{sup 2}/2M{sub S}Q A{sub 1/2} in the region Q{sup 2} > 2 GeV{sup 2}, where M and M{sub S} are the nucleon and N(1535) masses, q{sup 2} = -Q{sup 2} the four-momentum transfer squared, and {tau} = Q{sup 2}/(M{sub S} + M){sup 2}. This follows from the fact that the Pauli-type transition form factor F*{sub 2} extracted from the experimental data, turns up to show F*{sub 2} {approx_equal} 0 for Q{sup ... continued below

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051301(R) (4 pages)

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Gilberto Ramalho, Kazuo Tsushima September 1, 2011.

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It is shown that the helicity amplitudes A{sub 1/2} and S{sub 1/2} in the {gamma}N {yields} N(1535) reaction, can be well related by S{sub 1/2} = {radical}1+{tau}/{radical}2 M{sub S}{sup 2}-M{sup 2}/2M{sub S}Q A{sub 1/2} in the region Q{sup 2} > 2 GeV{sup 2}, where M and M{sub S} are the nucleon and N(1535) masses, q{sup 2} = -Q{sup 2} the four-momentum transfer squared, and {tau} = Q{sup 2}/(M{sub S} + M){sup 2}. This follows from the fact that the Pauli-type transition form factor F*{sub 2} extracted from the experimental data, turns up to show F*{sub 2} {approx_equal} 0 for Q{sup 2} > 1.5 GeV{sup 2}. The observed relation is tested by the experimental data and the MAID parametrization. A direct consequence of the relation is that the assumption,|A{sub 1/2}| >> |S{sub 1/2}|, is not valid for high Q{sup 2}. Instead, both amplitudes A{sub 1/2} and S{sub 1/2} have the same Q{sup 2} dependence in the high Q{sup 2} region, aside from that S{sub 1/2} has an extra factor, - 1/{radical} M{sub S}-M/2M{sub s}. The origin of this relation is interpreted in a perspective of a quark model.

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051301(R) (4 pages)

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  • Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology; Journal Volume: 84; Journal Issue: 5

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  • Report No.: JLAB-THY-11-1449
  • Report No.: DOE/OR/23177-1983
  • Report No.: arXiv:1105.2484
  • Grant Number: AC05-06OR23177
  • DOI: 10.1103/PhysRevD.84.051301 | External Link
  • Office of Scientific & Technical Information Report Number: 1033512
  • Archival Resource Key: ark:/67531/metadc830117

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  • September 1, 2011

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  • May 19, 2016, 3:16 p.m.

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  • Aug. 3, 2016, 5:59 p.m.

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Gilberto Ramalho, Kazuo Tsushima. A simple relation between the gamma N -> N(1535) helicity amplitudes, article, September 1, 2011; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc830117/: accessed June 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.