Intensities in the Infra-Red Absorption Spectra of Polyatomic Molecules

Грибов, Л. А.; Смирнов, В. Н.

doi:10.1070/pu1962v004n06abeh003394

Cited by 60 publications

(48 citation statements)

References 1 publication

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“…[6]. Moreover, in the case of baryons, the analyticity properties of the trajectory function [8], that follow from the invariance under Schwinger's space-time reflection of the covariant scattering amplitude [9], confirm this conclusion.…”

Section: Introductionsupporting

confidence: 66%

Baryonic Regge trajectories with analyticity constraints

et al. 2004

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Section: Introductionsupporting

confidence: 66%

Baryonic Regge trajectories with analyticity constraints

et al. 2004

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“…Performing the analytical continuation to the complex plane [32], we find a pole on the forth (IV) Riemann sheet (Sign(Imβ πη ), Sign(Imβ KK ))=(+, −))…”

Section: Hadronic Inputmentioning

confidence: 99%

Theoretical analysis of the γγ→π0η process

Danilkin¹,

Deineka²,

Vanderhaeghen³

2017

Phys. Rev. D

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We present a theoretical study of the γγ → πη process from the threshold up to 1.4 GeV in the πη invariant mass. For the s-wave a0(980) resonance state we adopt a dispersive formalism using a coupled-channel Omnès representation, while the d-wave a2(1320) state is described as a Breit-Wigner resonance. An analytic continuation to the a0(980) pole position allows us to extract its two-photon decay width as Γa 0 →γγ = 0.27(4) keV.

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“…Only in some cases there exists a preferred continuation, which may be clearly separated from all others. This is fulfilled, e.g., if the amplitude A(s, z) satisfies dispersion relations (DR) in momentum transfers t, u; the arising continuation is described by the integral Gribov-Froissart (GF) formula [4] (for more details see the monograph [5]). Such DR have never been formally proved, neither in general QFT, nor in QCD.…”

Section: Cam and Exoticsmentioning

confidence: 99%

The Problem of Exotic States: View From Complex Angular Momenta

Azimov

2006

Nstar 2005

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Having in mind present uncertainty of the experimental situation in respect to exotic hadrons, it is important to discuss any possible theoretical arguments, pro and contra. Up to now, there are no theoretical ideas which could forbid existence of the exotic states. Theoretical proofs for their existence are also absent. However, there are some indirect arguments for the latter case. It will be shown here, by using the complex angular momenta approach, that the standard assumptions of analyticity and unitarity for hadronic amplitudes lead to a non-trivial conclusion: the S-matrix has infinitely many poles in the energy plane (accounting for all its Riemann sheets). This is true for any arbitrary quantum numbers of the poles, exotic or non-exotic. Whether some of the poles may provide physical (stable or resonance) states, should be determined by some more detailed dynamics.

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Intensities in the Infra-Red Absorption Spectra of Polyatomic Molecules

Cited by 60 publications

References 1 publication

Baryonic Regge trajectories with analyticity constraints

Baryonic Regge trajectories with analyticity constraints

Theoretical analysis of the γγ→π0η process

The Problem of Exotic States: View From Complex Angular Momenta

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