An elementary derivation of a group‐theoretic property of many‐particle spin states

1984 ◽  
Vol 52 (6) ◽  
pp. 561-562 ◽  
Author(s):  
Richard L. Liboff
Keyword(s):  
Spin States ◽  
Theoretic Property ◽  
Particle Spin ◽  
Elementary Derivation

scholarly journals Helicity Amplitudes for Generic Multibody Particle Decays Featuring Multiple Decay Chains

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Daniele Marangotto
Keyword(s):  
General Expression ◽  
Spin States ◽  
Full Generality ◽  
Final Particle ◽  
Particle Spin ◽  
Helicity Amplitudes ◽  
Definition Of ◽  
First Time ◽  
Particle Decays ◽  
Exact Definition

We present the general expression of helicity amplitudes for generic multibody particle decays characterised by multiple decay chains. This is achieved by addressing for the first time the issue of the matching of the final particle spin states among different decay chains in full generality for generic multibody decays, proposing a method able to match the exact definition of spin states relative to the decaying particle ones. We stress the importance of our result by showing that one of the matching methods used in the literature is incorrect, leading to amplitude models violating rotational invariance. The results presented are therefore relevant for performing numerous amplitude analyses, notably those searching for exotic structures like pentaquarks.

Two-particle spin states and generalized Bell’s inequalities

JETP Letters ◽  
2000 ◽  
Vol 72 (2) ◽  
pp. 93-96 ◽  
Author(s):  
V. A. Andreev ◽  
V. I. Man’ko
Keyword(s):  
Spin States ◽  
Bell’S Inequalities ◽  
Particle Spin ◽  
Bell's Inequalities

scholarly journals Transport spectroscopy of non-equilibrium many-particle spin states in self-assembled quantum dots

2011 ◽  
Vol 2 (1) ◽  
Author(s):  
B. Marquardt ◽  
M. Geller ◽  
B. Baxevanis ◽  
D. Pfannkuche ◽  
A. D. Wieck ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Spin States ◽  
Particle Spin ◽  
Self Assembled ◽  
Non Equilibrium

Tomography of two-particle spin states

1998 ◽  
Vol 87 (2) ◽  
pp. 239-245 ◽  
Author(s):  
V. A. Andreev ◽  
V. I. Man’ko
Keyword(s):  
Spin States ◽  
Particle Spin

DESCRIPTION OF HIGH SPIN STATES

1980 ◽  
Vol 41 (C10) ◽  
pp. C10-143-C10-154 ◽  
Author(s):  
A. Faessler
Keyword(s):  
High Spin ◽  
Spin States ◽  
High Spin States

CLB18: A New Structural Database with Unusual Carbon–Carbon Long Bonds

2020 ◽  
Author(s):  
Pierpaolo Morgante ◽  
Roberto Peverati
Keyword(s):  
Transition Metal Complexes ◽  
Low Cost ◽  
Geometry Optimization ◽  
Structure Calculation ◽  
Unique Property ◽  
Spin States ◽  
Calculation Methods ◽  
Large Molecules ◽  
Barrier Heights ◽  
Structural Database

<div><div><div><p>In this Letter, we introduce a new database called carbon long bond 18 (CLB18), composed of 18 structures with one long C–C bond. We use this new database to evaluate the performance of several low-cost methods commonly used for geometry optimization of medium and large molecules. We found that the long bonds in CLB18 are electronically different from those found in barrier heights databases. We also report the unexpected correlation between the results of CLB18 and those of the energetics of spin states in transition-metal complexes. Given this unique property, CLB18 can be a useful tool for assessing existing electronic structure calculation methods and developing new ones.</p></div></div></div>

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