Regge surfaces and elastic unitarity

Reinhard Oehme

doi:10.1103/physrevd.11.1191

Regge surfaces and elastic unitarity

Physical Review D ◽

10.1103/physrevd.11.1191 ◽

1975 ◽

Vol 11 (5) ◽

pp. 1191-1198 ◽

Cited By ~ 4

Author(s):

Reinhard Oehme

Keyword(s):

Elastic Unitarity

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Hard regge cuts consistent with elastic unitarity

Il Nuovo Cimento A ◽

10.1007/bf02822896 ◽

1973 ◽

Vol 15 (2) ◽

pp. 217-226 ◽

Cited By ~ 8

Author(s):

D. Branson

Keyword(s):

Elastic Unitarity

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Regge-Cut Discontinuities and Elastic Unitarity

Physical Review Letters ◽

10.1103/physrevlett.30.343 ◽

1973 ◽

Vol 30 (8) ◽

pp. 343-345 ◽

Cited By ~ 13

Author(s):

Michael Creutz ◽

Frank E. Paige ◽

Ling-Lie Wang

Keyword(s):

Elastic Unitarity

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A family of solutions of the neutron-proton elastic unitarity equations

Nuclear Physics B ◽

10.1016/0550-3213(73)90032-1 ◽

1973 ◽

Vol 66 ◽

pp. 518-534 ◽

Cited By ~ 2

Author(s):

R.F. Alvarez-Estrada ◽

B. Carreras ◽

M.A. Goñi

Keyword(s):

Elastic Unitarity

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A Long-Standing Conjecture and a New Uniqueness Condition for the Solution of the Elastic Unitarity Equation

Physical Review Letters ◽

10.1103/physrevlett.42.1252 ◽

1979 ◽

Vol 42 (19) ◽

pp. 1252-1253 ◽

Cited By ~ 1

Author(s):

I. A. Sakmar

Keyword(s):

Uniqueness Condition ◽

Elastic Unitarity ◽

Unitarity Equation

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A Long-Standing Conjecture and a New Uniqueness Condition for the Solution of the Elastic Unitarity Equation.

Physical Review Letters ◽

10.1103/physrevlett.43.1137 ◽

1979 ◽

Vol 43 (15) ◽

pp. 1137-1137

Author(s):

I. A. Sakmar

Keyword(s):

Uniqueness Condition ◽

Elastic Unitarity ◽

Unitarity Equation

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Conditions on the uniqueness of the solution of the elastic unitarity equation

Journal of Mathematical Physics ◽

10.1063/1.523570 ◽

1978 ◽

Vol 19 (10) ◽

pp. 2124 ◽

Cited By ~ 3

Author(s):

I. A. Sakmar

Keyword(s):

Elastic Unitarity ◽

Unitarity Equation ◽

Uniqueness Of The Solution

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Elastic unitarity and the K-matrix in a Lorentz covariant representation of the NN interaction

Nuclear Physics A ◽

10.1016/s0375-9474(99)00309-7 ◽

1999 ◽

Vol 656 (2) ◽

pp. 231-256 ◽

Cited By ~ 1

Author(s):

O.V. Maxwell ◽

E.D. Cooper

Keyword(s):

Elastic Unitarity ◽

Covariant Representation ◽

K Matrix

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An analytical toolkit for the S-matrix bootstrap

Journal of High Energy Physics ◽

10.1007/jhep03(2021)013 ◽

2021 ◽

Vol 2021 (3) ◽

Author(s):

Miguel Correia ◽

Amit Sever ◽

Alexander Zhiboedov

Keyword(s):

Inversion Formula ◽

Scattering Amplitude ◽

Finite Energy ◽

Numerical Approach ◽

Low Energy ◽

The Other ◽

Elastic Unitarity ◽

S Matrix ◽

Local Bound ◽

Large Spin

Abstract We revisit analytical methods for constraining the nonperturbative S-matrix of unitary, relativistic, gapped theories in d≥ 3 spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it together with elastic unitarity to develop two natural expansions of the amplitude. One is the threshold (non-relativistic) expansion and the other is the large spin expansion. The two are related by the Froissart-Gribov inversion formula. When combined with crossing and a local bound on the discontinuity of the amplitude, this allows us to constrain scattering at finite energy and spin in terms of the low-energy parameters measured in the experiment. Finally, we discuss the modern numerical approach to the S-matrix bootstrap and how it can be improved based on the results of our analysis.

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