Fundamental properties of resonances

Abstract

All resonances, from hydrogen nuclei excited by the high-energy gamma rays in deep space to newly discovered particles produced in Large Hadron Collider, should be described by the same fundamental physical quantities. However, two distinct sets of properties are used to describe resonances: the pole parameters (complex pole position and residue) and the Breit-Wigner parameters (mass, width, and branching fractions). There is an ongoing decades-old debate on which of them should be abandoned. In this study of nucleon resonances emerging in the elastic pion-nucleon scattering we discover an intricate interplay of the parameters from both sets, and realize that neither set is completely independent or fundamental on its own.

arXiv comment7 pages, 1 table, 5 figures

References in corpus (9)

• Big-Bang Nucleosynthesis
• Ab-initio Determination of Light Hadron Masses
• Electromagnetic excitation of the Delta(1232)-resonance
• Mass and $K\Lambda$ coupling of $N^{\ast }(1535)$
• Comment on "Mass and K Lambda coupling of N*(1535)"
• Poles of Karlsruhe-Helsinki KH80 and KA84 solutions extracted by using Laurent+Pietarinen method
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Cited by in corpus (3)

• Experimental observation of the avoided crossing of two $S$-matrix resonance poles in an ultracold atom collider
• Observing S-Matrix Pole Flow in Resonance Interplay: Cold Collisions of Ultracold Atoms in a Miniature Laser-based Accelerator
• Dispersive determination of resonances from $\pi \pi$ scattering data