Published September 1, 2011 | Version v1
Journal article

Simple relation between the γN→N(1535) helicity amplitudes

  • 1. CFTP, Instituto Superior Tecnico, Universidade Tecnica de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa (Portugal)
  • 2. CSSM, School of Chemistry and Physics, University of Adelaide, Adelaide SA 5005 (Australia)

Description

It is shown that the helicity amplitudes A1/2 and S1/2 in the γN→N(1535) reaction, can be well related by S1/2=-(√(1+τ)/√(2))(MS2-M2/2MSQ)A1/2 in the region Q2>2 GeV2, where M and MS are the nucleon and N(1535) masses, q2=-Q2 the four-momentum transfer squared, and τ=(Q2/(MS+M)2). This follows from the fact that the Pauli-type transition form factor F2* extracted from the experimental data, turns up to show F2*≅0 for Q2>1.5 GeV2. The observed relation is tested by the experimentally extracted helicity amplitudes and the MAID parametrization (Mainz group). A direct consequence of the relation is that the assumption |A1/2|>>|S1/2| is not valid for high Q2. Instead, both amplitudes A1/2 and S1/2 have the same Q2 dependence in the high Q2 region; aside from that S1/2 has an extra factor, -(1/√(2))(MS-M/2MS). The origin of this relation is interpreted in a perspective of a quark model.

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
84
Journal Issue
5
Journal Page Range
p. 051301-051301.4
ISSN
0556-2821
CODEN
PRVDAQ

Optional Information

Notes
(c) 2011 American Institute of Physics