A simple relation between the gamma N -> N(1535) helicity amplitudes
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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1033512
- Report Number(s):
- JLAB-THY-11-1449; DOE/OR/23177-1983; arXiv:1105.2484; TRN: US1200341
- Journal Information:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 84, Issue 5; ISSN 1550-7998
- Country of Publication:
- United States
- Language:
- English
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