Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Secondary trajectories and the saturation of finite energy sum rules
AU - Swift, Arthur R.
AU - Tucker, Robin
PY - 1969/10
Y1 - 1969/10
N2 - A study is made of the constraints placed upon the couplings and resonance spectrum required to saturate finite-energy sum rules consistently in the region around t=0 . It is argued that the probable existence of crossing trajectories and cuts places a fundamental limit on the usefulness of finite-energy sum rules. The demand that the spin of the resonances increase monotonically with mass implies that an infinite number of asymptotically parallel daughter trajectories in the resonance region are required for consistency. This result is independent of any statement about the energy dependence of the leading trajectory.
AB - A study is made of the constraints placed upon the couplings and resonance spectrum required to saturate finite-energy sum rules consistently in the region around t=0 . It is argued that the probable existence of crossing trajectories and cuts places a fundamental limit on the usefulness of finite-energy sum rules. The demand that the spin of the resonances increase monotonically with mass implies that an infinite number of asymptotically parallel daughter trajectories in the resonance region are required for consistency. This result is independent of any statement about the energy dependence of the leading trajectory.
U2 - 10.1103/PhysRev.186.1553
DO - 10.1103/PhysRev.186.1553
M3 - Journal article
VL - 186
SP - 1553
EP - 1559
JO - Physical Review
JF - Physical Review
SN - 0031-899X
IS - 5
ER -