The large-N c limit of borelized spectral sum rules and the slope of radial Regge trajectories

S. S. Afonin; T. D. Solomko

doi:10.1142/S0217751X18501154

The large-N c limit of borelized spectral sum rules and the slope of radial Regge trajectories

S. S. Afonin, T. D. Solomko

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We put forward a new phenomenological method for calculating the slope of radial trajectories from values of ground states and vacuum condensates. The method is based on a large-Nc extension of borelized spectral sum rules. The approach is applied to the light nonstrange vector, axial and scalar mesons. The extracted values of slopes proved to be approximately universal and are in the interval 1.4 ± 0.1 GeV². As a by-product, the given method leads to prediction of the second radial trajectory with ground state mass lying near 0.6 GeV.

Original language	English
Article number	1850115
Journal	International Journal of Modern Physics A
Volume	33
Issue number	18-19
DOIs	https://doi.org/10.1142/S0217751X18501154
State	Published - 10 Jul 2018
Externally published	Yes

Keywords

QCD sum rules
light mesons

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

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10.1142/S0217751X18501154

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abstract = "We put forward a new phenomenological method for calculating the slope of radial trajectories from values of ground states and vacuum condensates. The method is based on a large-Nc extension of borelized spectral sum rules. The approach is applied to the light nonstrange vector, axial and scalar mesons. The extracted values of slopes proved to be approximately universal and are in the interval 1.4 ± 0.1 GeV2. As a by-product, the given method leads to prediction of the second radial trajectory with ground state mass lying near 0.6 GeV.",

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AU - Solomko, T. D.

PY - 2018/7/10

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N2 - We put forward a new phenomenological method for calculating the slope of radial trajectories from values of ground states and vacuum condensates. The method is based on a large-Nc extension of borelized spectral sum rules. The approach is applied to the light nonstrange vector, axial and scalar mesons. The extracted values of slopes proved to be approximately universal and are in the interval 1.4 ± 0.1 GeV2. As a by-product, the given method leads to prediction of the second radial trajectory with ground state mass lying near 0.6 GeV.

AB - We put forward a new phenomenological method for calculating the slope of radial trajectories from values of ground states and vacuum condensates. The method is based on a large-Nc extension of borelized spectral sum rules. The approach is applied to the light nonstrange vector, axial and scalar mesons. The extracted values of slopes proved to be approximately universal and are in the interval 1.4 ± 0.1 GeV2. As a by-product, the given method leads to prediction of the second radial trajectory with ground state mass lying near 0.6 GeV.

KW - QCD sum rules

KW - light mesons

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M1 - 1850115

ER -

The large-N c limit of borelized spectral sum rules and the slope of radial Regge trajectories

Abstract

Keywords

ASJC Scopus subject areas

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