Related Experiment Video
Updated: Jun 8, 2025
10:52
Line Shape Analysis of Dynamic NMR Spectra for Characterizing Coordination Sphere Rearrangements at a Chiral Rhenium Polyhydride Complex
Published on: July 27, 2022
2.7K
From pole parameters to line shapes and branching ratios
L A Heuser1,2, G Chanturia2, F-K Guo3,4,5
1Forschungszentrum Jülich, Institute for Advanced Simulation, 52425 Jülich, Germany.
The European Physical Journal. C, Particles and Fields
|November 8, 2024
Summary
This study connects theoretical resonance parameters to experimental line shapes, enabling accurate calculation of partial widths and branching ratios for particles like the J/psi and Upsilon resonances.
Area of Science:
- Particle Physics
- Quantum Field Theory
Background:
- Resonances are defined by complex pole locations and residues.
- Experimentally, resonances appear as structures in invariant mass distributions.
- Branching fractions are determined from experimental count rates.
Purpose of the Study:
- To establish a connection between theoretical resonance parameters and experimental line shapes.
- To derive expressions for partial widths and branching ratios based on this connection.
- To validate the proposed formalism using J/psi and Upsilon resonances.
Main Methods:
- Developing a formalism to link resonance parameters (poles, residues) with line shapes.
- Inferring line shapes from resonance parameters.
- Deriving formulas for partial widths and branching ratios.
Main Results:
- A method is proposed to connect resonance parameters to line shapes.
- Expressions for partial widths and branching ratios are derived.
- The formalism is demonstrated with detailed studies of J/psi and Upsilon resonances.
Conclusions:
- The proposed method provides a way to link theoretical and experimental resonance characterizations.
- The derived expressions for partial widths and branching ratios offer a new approach.
- The study validates the formalism through specific resonance examples.
Related Concept Videos
01:24Pole and System Stability
250
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
250
01:23Transfer function and Bode Plots-II
298
In the standard form, the transfer function is shown in constant gain, poles/zeros at origin, simple poles/zeros, and quadratic poles/zeros; each contributing uniquely to the system's overall response. The term represents the magnitude of the simple zero:
298
01:26Transmission-Line Differential Equations
235
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
235
03:37Molecular Shape and Polarity
59.7K
Dipole Moment of a Molecule
59.7K
01:19Plotting and Calibrating the Root Locus
92
Root loci often diverge as system poles shift from the real axis to the complex plane. Key points in this transition are the breakaway and break-in points, indicating where the root locus leaves and reenters the real axis. The branches of the root locus form an angle of 180/n degrees with the real axis, where n is the number of branches at a breakaway or break-in point.
The maximum gain occurs at the breakaway points between open-loop poles on the real axis, while the minimum gain is...
The maximum gain occurs at the breakaway points between open-loop poles on the real axis, while the minimum gain is...
92
01:13¹H NMR: Complex Splitting
1.2K
A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
1.2K