scholarly journals CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS

2001 ◽  
Vol 16 (12) ◽  
pp. 2175-2193 ◽  
Author(s):  
A. A. OVCHINNIKOV
Keyword(s):  
Scalar Product ◽  
Monodromy Matrix ◽  
Quantum Spin ◽  
Matrix Elements ◽  
Quantum Spin Chain ◽  
Usual Basis ◽  
The Matrix ◽  
General Scalar ◽  
Scalar Products

We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin-1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F-basis and the usual basis.

scholarly journals D → π and D → K semileptonic form factors with Nf = 2 + 1 + 1 twisted mass fermions

2018 ◽  
Vol 175 ◽  
pp. 13026
Author(s):  
Vittorio Lubicz ◽  
Lorenzo Riggio ◽  
Giorgio Salerno ◽  
Silvano Simula ◽  
Cecilia Tarantino
Keyword(s):  
Pion Mass ◽  
Form Factors ◽  
Kinematical Region ◽  
Matrix Elements ◽  
Scalar Form ◽  
Mass Collaboration ◽  
Twisted Mass ◽  
The Matrix ◽  
Additional Form

We present a lattice determination of the vector and scalar form factors of the D → π(K)lv semileptonic decays, which are relevant for the extraction of the CKM matrix elements |Vcd| and |Vcs| from experimental data. Our analysis is based on the gauge configurations produced by the European Twisted Mass Collaboration with Nf = 2 + 1 +1 flavors of dynamical quarks. We simulated at three different values of the lattice spacing and with pion masses as small as 210 MeV. The matrix elements of both vector and scalar currents are determined for a plenty of kinematical conditions in which parent and child mesons are either moving or at rest. Lorentz symmetry breaking due to hypercubic effects is clearly observed in the data and included in the decomposition of the current matrix elements in terms of additional form factors. After the extrapolations to the physical pion mass and to the continuum limit the vector and scalar form factors are determined in the whole kinematical region from q2 = 0 up to [see formula in PDF] accessible in the experiments, obtaining a good overall agreement with experiments, except in the region at high values of q2 where some deviations are visible.

Calcul d'inerties collectives hydrodynamiques en fission nucléaire

1979 ◽  
Vol 57 (6) ◽  
pp. 793-800 ◽  
Author(s):  
Marie Fontaine ◽  
Pierre Amiot
Keyword(s):  
Velocity Field ◽  
Normal Modes ◽  
Matrix Elements ◽  
Deformed Nuclei ◽  
Inertia Matrix ◽  
The Matrix ◽  
Adiabatic Case

We develop a hydrodynamical method to calculate the inertia matrix elements for highly deformed nuclei. The nuclear velocity field is incompressible but is not limited to the adiabatic case. The formulation is also more general than Werner–Wheeler's. It is shown that off-diagonal terms play an important role in the determination of the normal modes of fission by diagonalization of the matrix.

Fire-Assay Emission Spectrographic Method for Platinum, Palladium, Rhodium, and Gold

1970 ◽  
Vol 24 (2) ◽  
pp. 225-228 ◽  
Author(s):  
A. B. Whitehead ◽  
H. H. Heady
Keyword(s):  
Coefficient Of Variation ◽  
Precious Metals ◽  
Matrix Elements ◽  
Graphite Electrodes ◽  
Internal Standards ◽  
Fire Assay ◽  
The Matrix ◽  
Spectrographic Method ◽  
Intensity Ratios

A method has been developed for the determination of microgram levels of Pt, Pd, Rh, and Au. A 10-mg Ag bead containing the precious metals, as extracted by fire assaying, is arced at 8 A dc in graphite electrodes in the presence of 10 mg of either Rh or Pt metal powder. The matrix elements, Ag and Pt, or Rh, serve as internal standards, and intensity ratios Pt/Rh or Rh/Pt, Pd/Rh, and Au/Ag are determined. Precision of the method is about ±5% coefficient of variation for Pt and Rh, ±15% for Pd, and ±19% for Au. Limits of detection are below 1 μg, giving analysis limits (for a 1-assay-ton sample) of about 1–30 ppb for these precious metals.

scholarly journals DETERMINATION OF THE CKM MATRIX ELEMENTS |Vxb|

2013 ◽  
Vol 28 (21) ◽  
pp. 1330016 ◽  
Author(s):  
GIULIA RICCIARDI
Keyword(s):  
Current Status ◽  
Matrix Elements ◽  
Ckm Matrix ◽  
The Matrix ◽  
The Absolute ◽  
Ckm Matrix Elements

We review the current status of |Vcb|, |Vub| and |Vtb|, the absolute values of the matrix elements in the CKM third column.

STUDY OF A PROPOSAL FOR DETERMINING THE g-FACTOR ANOMALY FOR ELECTRONS BY RESONANCE EXCITATION IN A MAGNETIC FIELD

1963 ◽  
Vol 41 (10) ◽  
pp. 1571-1579 ◽  
Author(s):  
J. Byrne
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Experimental Determination ◽  
Homogeneous Magnetic Field ◽  
Resonance Excitation ◽  
Matrix Elements ◽  
G Factor ◽  
The Matrix

Following recent proposals for the experimental determination of the electron g-factor anomaly, a study has been made of the properties required of a perturbing electromagnetic field for the production of particular transitions between the states of an electron moving in a constant homogeneous magnetic field. The matrix elements have been calculated for the transitions of interest and some suggestions have been advanced for the solution of certain experimental problems indicated by the results of the study.

scholarly journals Implications of tau data for CP violation in K decays

2019 ◽  
Author(s):  
Antonio Rodríguez Sánchez
Keyword(s):  
Cp Violation ◽  
Operator Product Expansion ◽  
Short Distance ◽  
Chiral Limit ◽  
Operator Product ◽  
Distance Constraint ◽  
Matrix Elements ◽  
Kaon Decays ◽  
The Matrix

The \bm{D=6}𝐃=6 contribution of the Operator Product Expansion (OPE) of the \bm{\mathrm{VV-AA}}VV−AA correlator of quark currents can be related to hadronic matrix elements associated to CP violation in non-leptonic kaon decays. We use those relations to find an updated value for \bm{\langle(\pi\pi)_{I=2}|\mathcal{Q}_{8}|K\rangle}⟨(𝛑𝛑)𝐈=2|𝒬8|𝐊⟩ in the chiral limit using the updated ALEPH spectral function. Taking instead values of the matrix elements from the lattice to obtain the \bm{D=6}𝐃=6 vacuum elements provides a new short-distance constraint that allows for an inclusive determination of \bm{f_{\pi}}𝐟𝛑 and an updated value for the \bm{D=8}𝐃=8 condensate.

Determination of the Matrix Elements Concentration in TiNxOy Films by Auger Electron Spectroscopy

2019 ◽  
Vol 21 (8) ◽  
pp. 507-512
Author(s):  
V. S. Belov ◽  
◽  
E. P. Kirilenko ◽  
A. P. Sirotina ◽  
◽  
...  
Keyword(s):  
Auger Electron Spectroscopy ◽  
Electron Spectroscopy ◽  
Auger Electron ◽  
Matrix Elements ◽  
The Matrix
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