SPIN CORRELATIONS OF THE FINAL LEPTONS IN THE TWO-PHOTON PROCESSES γγ → e+e-, μ+μ-, τ+τ-

2014 ◽  
Vol 35 ◽  
pp. 1460453
Author(s):  
VALERY V. LYUBOSHITZ ◽  
VLADIMIR L. LYUBOSHITZ
Keyword(s):  
Spin Structure ◽  
Triplet States ◽  
Strongly Correlated ◽  
Correlation Tensor ◽  
Spin Correlations ◽  
Two Photon ◽  
Final Electron ◽  
Singlet And Triplet States ◽  
Explicit Expressions

The spin structure of the process γγ → e+e- is theoretically investigated. It is shown that, if the primary photons are unpolarized, the final electron and positron are unpolarized as well but their spins are strongly correlated. For the final (e+e-) system, explicit expressions for the components of the correlation tensor are derived, and the relative fractions of singlet and triplet states are found. It is demonstrated that in the process γγ → e+e- one of the Bell-type incoherence inequalities for the correlation tensor components is always violated and, thus, spin correlations of the electron and positron in this process have the strongly pronounced quantum character. Analogous consideration can be wholly applied as well to the two-photon processes γγ → μ+μ- and γγ → τ+τ-, which become possible at considerably higher energies.

scholarly journals ON THE SPIN CORRELATIONS OF MUONS AND TAU LEPTONS GENERATED IN THE ANNIHILATION PROCESSES e+e- → μ+μ-, e+e- → τ+τ-

2014 ◽  
Vol 35 ◽  
pp. 1460452
Author(s):  
VALERY V. LYUBOSHITZ ◽  
VLADIMIR L. LYUBOSHITZ
Keyword(s):  
Angular Correlation ◽  
Tau Leptons ◽  
Triplet States ◽  
Strongly Correlated ◽  
Electromagnetic Process ◽  
Correlation Tensor ◽  
Spin Correlations ◽  
Helicity Amplitudes ◽  
Unpolarized Electron ◽  
The One

Using the technique of helicity amplitudes, the electromagnetic process e+e- → μ+μ-(τ+τ-) is theoretically studied in the one-photon approximation. The structure of the triplet states of the final (μ+μ-) system is analyzed. It is shown that in the case of unpolarized electron and positron the final muons are also unpolarized, but their spins are strongly correlated. Explicit expressions for the components of the correlation tensor of the (μ+μ-) system are derived. The formula for the angular correlation at the decays of final muons μ+ and μ- is obtained. It is demonstrated that spin correlations of muons in the considered process have the purely quantum character, since one of the Bell-type incoherence inequalities for the correlation tensor components is always violated.

scholarly journals Probing different spin states in xylyl radicals and ions

2018 ◽  
Vol 20 (10) ◽  
pp. 7180-7189 ◽  
Author(s):  
Mathias Steglich ◽  
Andras Bodi ◽  
John P. Maier ◽  
Patrick Hemberger
Keyword(s):  
Photoelectron Spectroscopy ◽  
Triplet States ◽  
Spin States ◽  
Two Photon ◽  
Benzyl Radicals ◽  
Singlet And Triplet States ◽  
Photon Ionization

Resonant one-color two-photon ionization spectroscopy and mass-selected threshold photoelectron spectroscopy were applied to study the electronic doublet states of the three xylyl (methyl-benzyl) radicals above 3.9 eV as well as the singlet and triplet states of the cations up to 10.5 eV.

The bounding energy for singlet and triplet states of the negative muonium ion

2011 ◽  
Vol 30 (0) ◽  
pp. 240-245 ◽  
Author(s):  
М. Гайсак ◽  
М. Гнатич ◽  
Ю. Федорняк
Keyword(s):  
Triplet States ◽  
Singlet And Triplet States

An ab initio study on some low-lying singlet and triplet states of SbO2+ and quartet states of SbO2

2006 ◽  
Vol 429 (4-6) ◽  
pp. 365-370 ◽  
Author(s):  
Edmond P.F. Lee ◽  
John M. Dyke ◽  
Foo-tim Chau ◽  
Wan-ki Chow ◽  
Daniel K.W. Mok
Keyword(s):  
Ab Initio ◽  
Triplet States ◽  
Ab Initio Study ◽  
Singlet And Triplet States

REDUCED MULTIREFERENCE COUPLED-CLUSTER METHOD AND ITS APPLICATION TO THE PYRIDYNE DIRADICALS

2008 ◽  
Vol 07 (04) ◽  
pp. 805-820 ◽  
Author(s):  
XIANGZHU LI ◽  
JOSEF PALDUS
Keyword(s):  
Molecular Geometry ◽  
External Source ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Triplet States ◽  
Correlation Effects ◽  
Spin Multiplicity ◽  
Triplet Splitting ◽  
Singlet And Triplet States

The reduced multireference (RMR) coupled-cluster (CC) method with singles and doubles (RMR CCSD) that employs a modest-size MR CISD wave function as an external source for the most important (primary) triples and quadruples in order to account for the nondynamic correlation effects in the presence of quasidegeneracy, and which is further perturbatively corrected for the remaining (secondary) triples, RMR CCSD(T), is employed to compute the molecular geometry and the energy of the lowest-lying singlet and triplet states, as well as the corresponding singlet–triplet splitting, for all possible isomers of the m, n-pyridyne diradicals. A comparison is made with earlier results that were obtained by other authors, and the role of the multireference effects for both the geometry and the spin multiplicity of the lowest state, as described by the RMR-type methods, is demonstrated on the example of 2,6- and 3,5-pyridynes.

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