TY - JOUR

T1 - The Adler condition and high energy bounds on massless particle total cross sections

AU - Auerbach, S. P.

AU - Pennington, M. R.

AU - Rosenzweig, C.

PY - 1973/7/23

Y1 - 1973/7/23

N2 - We study the problem of deriving high energy bounds on total cross sections for processes in which massless particles can participate. We are able to prove such bounds given the following assumptions 1) Mandelstam analyticity 2) polynomial boundedness 3) smoothness 4) Adler's condition for massless pions or analogous conditions for other massless particles such as neutrinos. The resulting bound is that total cross sections are constant up to powers of logarithims of the energy.

AB - We study the problem of deriving high energy bounds on total cross sections for processes in which massless particles can participate. We are able to prove such bounds given the following assumptions 1) Mandelstam analyticity 2) polynomial boundedness 3) smoothness 4) Adler's condition for massless pions or analogous conditions for other massless particles such as neutrinos. The resulting bound is that total cross sections are constant up to powers of logarithims of the energy.

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U2 - 10.1016/0370-2693(73)90202-5

DO - 10.1016/0370-2693(73)90202-5

M3 - Article

AN - SCOPUS:49549169277

VL - 45

SP - 275

EP - 278

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3

ER -