TY - JOUR
T1 - The ππ total cross section
T2 - Its scale and massless pion limit
AU - Pennington, M. R.
AU - Rosenzweig, Carl
PY - 1973/6/18
Y1 - 1973/6/18
N2 - The question of the scale of the ππ total cross section is considered. We first give a simple intuitive argument for expecting cross sections in the massless chiral world to be finite. Assuming the universality of P-f Regge couplings, we give a simple dispersion theoretic evaluation of the asymptotic ππ total cross section, σππ. We deduce an algebraic expression for σππ and find that its scale is determined by 1/mρ{variant}2 or, equivalently, 1/f{hook}π2 - just as Pagels conjectured. This relation has a smooth, finite limit as mπ tends to zero. Numerically, we obtain σππ = 17 ± 4 mb for physical mass pions and 14 ± 3 mb for massless pions.
AB - The question of the scale of the ππ total cross section is considered. We first give a simple intuitive argument for expecting cross sections in the massless chiral world to be finite. Assuming the universality of P-f Regge couplings, we give a simple dispersion theoretic evaluation of the asymptotic ππ total cross section, σππ. We deduce an algebraic expression for σππ and find that its scale is determined by 1/mρ{variant}2 or, equivalently, 1/f{hook}π2 - just as Pagels conjectured. This relation has a smooth, finite limit as mπ tends to zero. Numerically, we obtain σππ = 17 ± 4 mb for physical mass pions and 14 ± 3 mb for massless pions.
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U2 - 10.1016/0550-3213(73)90345-3
DO - 10.1016/0550-3213(73)90345-3
M3 - Article
AN - SCOPUS:49549172359
VL - 57
SP - 305
EP - 316
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1
ER -