High-energy bounds on scattering amplitudes and oscillations in the diffraction-peak region

Singh, Virendra (1971) High-energy bounds on scattering amplitudes and oscillations in the diffraction-peak region Physical Review Letters, 26 (9). pp. 530-534. ISSN 0031-9007

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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.26.530

Related URL: http://dx.doi.org/10.1103/PhysRevLett.26.530

Abstract

Rigorous bounds are established on the absorptive part of the scattering amplitude, A(s,t), for t real and within the Lehman-Martin ellipse. This result is used to prove an upper bound on [dlnA(s,t)/dt]t=0, and to show that A(s,t) cannot have a zero in the region 0 > t > -4t0/(lns)2 for s→∞ (√t0=2mΠ for ΠΠ, ΠN, KN, and NN scattering). No assumption is made about the high-energy behavior of the total cross sections.

Item Type:Article
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Deposited On:14 Jul 2011 07:54
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