TY - JOUR
T1 - The relation between form factors and the scaling functions in electroproduction and neutrino reactions
AU - Langacker, P.
AU - Suzuki, M.
N1 - Funding Information:
Later, Bloom and Gilman [4] introduced a new scaling variable w’ = w + m2/Q2 (m = nucleon mass) and showed that experimentally vW2(v, Q2) scales faster in w’ than in w, and that together with background contributions, the resonance peaks follow the scaling curve F2(o’) in the average (i.e., the resonances build up the scaling curve). They suggested eq. (3) from these observations; they further argued that eq. (3) is true also for the form factors for the transition between the nucleon and resonances, defined in the narrow width approximation by * Supported in part by the U.S. Atomic Energy Commission. ** Address after September 15, 1972: The Rockefeller Univer-sity, Department of Physics, New York, N.Y. 10021, USA. *** Supported also by the Air Force Office of Scientific Re-search, Office of Aerospace Research, United States Air Force, under Contract No. F44620-70C-0028. + We follow the conventions in ref. [ 31. Specifically q2 = - Q2 < 0 for q space like, v = (p .q) and w = 2v/Q2.
PY - 1972/12/25
Y1 - 1972/12/25
N2 - We show that the relation between the asymptotic behavior of the transition and isovector elastic form factors and the threshold behavior of the scaling functions suggested by Drell and Yan, West, and Bloom and Gilman follows from precocious scaling and the equal-time algebra of currents. The relation for the isocalar form factor depends on the nature of the J = 0 fixed pole.
AB - We show that the relation between the asymptotic behavior of the transition and isovector elastic form factors and the threshold behavior of the scaling functions suggested by Drell and Yan, West, and Bloom and Gilman follows from precocious scaling and the equal-time algebra of currents. The relation for the isocalar form factor depends on the nature of the J = 0 fixed pole.
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U2 - 10.1016/0370-2693(72)90105-0
DO - 10.1016/0370-2693(72)90105-0
M3 - Article
AN - SCOPUS:49649134601
SN - 0370-2693
VL - 42
SP - 453
EP - 456
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 4
ER -