Summary
The integral representations for the «conformal» invariant form factors in two dimensions are derived. The high-energy limit of these expansions is uniquely determined. For particles with «spin» 1/2 and massm≠0 we obtain the asymptoticq 2-dependence (m 2/(−q 2), (m 2/(−q 2))2, etc.
Riassunto
Si ricava la rappresentazione integrale per i fattori di forma invarianti «conformi» in due dimensioni. Si determina univocamente il limite ad alta energia di questi sviluppi. Per particelle di spin 1/2 e massa non nulla, si ottiene la dipendenza asintotica diq 2, (m 2/−q 2), (m 2/−q 2)2, ecc.
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References
L. Castell:Journ. Math. Phys.,11, 2999 (1970).
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E. C. Titchmarsh:Eigenfunction Expansions, Vol.1 (Oxford, 1962).
S. C. C. Ting:XIV International Conference on High-Energy-Physics (Vienna, 1968), p. 43.
N. M. Kroll:XIV International Conference on High-Energy-Physics (Vienna, 1968), p. 75.
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Castell, L. Conformal invariant form factors in two dimensions. Nuovo Cimento A (1965-1970) 70, 564–568 (1970). https://doi.org/10.1007/BF02734493
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DOI: https://doi.org/10.1007/BF02734493