Analyticity in hadron-nuclei binary reactions

Dubnička, S.; Dumbrājs, O.

doi:10.1016/0370-1573(75)90004-6

Cited by 20 publications

(9 citation statements)

References 53 publications

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“…on the cut~ The values of t, found from the fits lie above the corresponding threshold values t o [6,7], as is clearly displayed in Table 1. Hence, the data do not allow poles below the cuts.…”

Section: Discussionmentioning

confidence: 88%

“…Thus, to fit the data it should be enough to allow the existence of only one zero. Next, because of the presence of anomalous cuts [5,6], we give up from the very beginning the hope of ascribing to each pole a physical resonance, and we represent the cut as a sum of equidistant poles. Finally, we assume that the asymptotic behaviour of form factors is determined by the quark-counting mechanism [16].…”

Section: K~-imentioning

confidence: 99%

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Pole and quark-counting model for form factors of light nuclei

Dumbrājs

Staszel

1977

Z Physik A

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The dispersion relation approach is applied to form factors of light nuclei. The form factor is approximated by a sum of poles. The asymptotic behaviour of form factor is assumed to be determined by quark-counting rule. Examples of 3He, 4He and 6Li are considered. Data on form factors of these nuclei have been fitted with smaller number of parameters than usual, and corresponding charge distributions have been found which differ from conventional ones in central regions of nuclei.

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Section: Discussionmentioning

confidence: 88%

Section: K~-imentioning

confidence: 99%

Pole and quark-counting model for form factors of light nuclei

Dumbrājs

Staszel

1977

Z Physik A

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“…There is a general belief that all EM FFs are analytic functions in the complex plane of the momentum transfer squared t besides a cut from the lowest branch point t 0 on the real axis to +∞. The positions of the branch points are found by an investigation of the analytic properties of Feynman diagrams [16][17][18] representing separate terms of a formal series of EM FFs obtained in the framework of a quantum field perturbation theory.…”

Section: Analytic Properties Of Electromagnetic Form Factorsmentioning

confidence: 99%

Analyticity in a Phenomenology of Electro-Weak Structure of Hadrons

Dubnička¹,

Dubničková²

2010

Acta Physica Slovaca. Reviews and Tutorials

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The utility of an application of the analyticity in a phenomenology of electro-weak structure of hadrons is demonstrated in a number of obtained new and experimentally verifiable results. With this aim first the problem of an inconsistency of the asymptotic behavior of VMD model with the asymptotic behavior of form factors of baryons and nuclei is solved generally and a general approach for determination of the lowest normal and anomalous singularities of form factors from the corresponding Feynman diagrams is reviewed. Then many useful applications by making use of the analytic properties of electro-weak form factors and amplitudes of various electromagnetic processes of hadrons are carried out.

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“…À , À Ø Ô and À Ò vertices as (24) where Ò ½ Ò ¾ · Ø · Ô · Ò; ¾ ¾Å ¾¼ ¿ , ½ ¾ is the cluster probability amplitude ( …”

Section: à à ø ô and à ò Vertices In Gcmunclassified

Relative wavefunctions, vertex functions and coupling constants for the virtual decay of 4He

Sharma

Chikara

1999

Pramana - J Phys

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The · Ø ·Ô and ·Ò relative wavefunctions and their asymptotic normalizations are considered in the framework of the generator coordinate method (GCM) and compared with ATMS (amalgamation of two-body correlation into multiple scattering processes) method which used the realistic Reid soft core interaction. The asymptotic normalization of relative wavefunctions provide various coupling constants, the cluster probability amplitude (the so-called ½ ¾ -factor) and matter RMS radii. These wavefunctions are also used to obtain À , À Ø Ô and À Ò vertex functions in the virtual decay of He. The extrapolation of vertex functions for negative values of Õ ¾ upto the corresponding poles provide the vertex constants which are comparable with other estimates. It is noticed that in GCM the coupling constants ¾ for À vertex is less than 2 as has been obtained in the forward dispersion relation technique.

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Analyticity in hadron-nuclei binary reactions

Cited by 20 publications

References 53 publications

Pole and quark-counting model for form factors of light nuclei

Pole and quark-counting model for form factors of light nuclei

Analyticity in a Phenomenology of Electro-Weak Structure of Hadrons

Relative wavefunctions, vertex functions and coupling constants for the virtual decay of 4He

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