Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

In: Physical Review, Vol. 186, No. 5, 10.1969, p. 1553-1559.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Swift, AR & Tucker, R 1969, 'Secondary trajectories and the saturation of finite energy sum rules', *Physical Review*, vol. 186, no. 5, pp. 1553-1559. https://doi.org/10.1103/PhysRev.186.1553

Swift, A. R., & Tucker, R. (1969). Secondary trajectories and the saturation of finite energy sum rules. *Physical Review*, *186*(5), 1553-1559. https://doi.org/10.1103/PhysRev.186.1553

Swift AR, Tucker R. Secondary trajectories and the saturation of finite energy sum rules. Physical Review. 1969 Oct;186(5):1553-1559. doi: 10.1103/PhysRev.186.1553

@article{ceb55109cfc342d8a09fd2e9c32a8745,

title = "Secondary trajectories and the saturation of finite energy sum rules",

abstract = "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.",

author = "Swift, {Arthur R.} and Robin Tucker",

year = "1969",

month = oct,

doi = "10.1103/PhysRev.186.1553",

language = "English",

volume = "186",

pages = "1553--1559",

journal = "Physical Review",

issn = "0031-899X",

publisher = "American Institute of Physics Publising LLC",

number = "5",

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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 -