activity
19952020
most citedBound States in one and two Spatial Dimensions

79 citations · 325 across the 21 of their papers we have counts for

collaborators

21 papers

math-ph2020★ 9 cited

New result on phase shift analysis

André Martin, Jean-Marc Richard

Assuming a certain continuity property, we prove, using the old results of Itzykson and Martin, that, except for an obvious ambiguity, there are only at most two amplitudes reprodu…

hep-th2019★ 7 cited

A rigorous lower bound on the scattering amplitude at large angle

Henri Epstein, André Martin

We prove a lower bound for the modulus of the amplitude for a two-body process at large scattering angle. This is based on the interplay of the analyticity of the amplitude and the…

hep-ph2017★ 6 cited

A Lower Bound on Inelasticity in Pion-Pion Scattering

André Martin, S. M. Roy

Assuming that the pion-pion scattering amplitude and its absorptive part are analytic inside an ellipse in - plane with foci , and right extremity , ($ε…

hep-ph2017★ 6 cited

Positivity of the real part of the forward scattering amplitude

André Martin, Tai Tsun Wu

We prove the general theorem that the real part of the forward two-body scattering amplitude is positive at sufficiently high energies if, above a certain energy, the total cross s…

hep-ph2010★ 22 cited

An upper bound on the total inelastic cross-section as a function of the total cross-section

Tai Tsun Wu, André Martin, Shasanka Mohan Roy +1

Recently André Martin has proved a rigorous upper bound on the inelastic cross-section at high energy which is one-fourth of the known Froissart-Martin-Lukaszuk upper bo…

hep-ph2009★ 50 cited

The Froissart bound for inelastic cross-sections

André Martin

We prove that while the total cross{}-section is bounded by , where is the square of the c.m. energy and the mass of the pion, the total inelastic cros…