DOMINANCE OF LONG DISTANCE EFFECTS IN THE KL-KS MASS DIFFERENCE

1990 ◽  
Vol 05 (19) ◽  
pp. 1477-1483 ◽  
Author(s):  
K. TERASAKI ◽  
S. ONEDA
Keyword(s):  
Asymptotic Behavior ◽  
Vector Meson ◽  
Ground State ◽  
Mass Shell ◽  
Mass Difference ◽  
Matrix Elements ◽  
Long Distance ◽  
Distance Effects ◽  
Intermediate States ◽  
The Matrix

It is argued that the asymptotic behavior of the matrix elements of Hw involving on-mass-shell ground-state mesons with infinite momenta, which were instrumental in explaining the |ΔI|=1/2 rule in the K→ππ decays, actually implies [Formula: see text]. The long distance effects (contributions of PS and vector meson poles and ππ intermediate states) may reproduce the observed KL−Ks mass difference, consistent with the |ΔI|=1/2 rule. Its estimate is however sensitive to the η-η′-… mixing.

LONG DISTANCE EFFECTS, PENGUIN CONTRIBUTION AND CP VIOLATION IN $K^0 - \bar K^0 $

1992 ◽  
Vol 07 (34) ◽  
pp. 3155-3160 ◽  
Author(s):  
K. TERASAKI ◽  
S. ONEDA
Keyword(s):  
Cp Violation ◽  
Decay Rate ◽  
Ground State ◽  
Dominant Role ◽  
Mass Difference ◽  
Matrix Elements ◽  
Long Distance ◽  
Penguin Contribution ◽  
Fractional Contribution ◽  
Distance Effects

We estimate the fractional contribution of the Penguin term to the most important asymptotic ground state meson matrix elements of H w by fitting the calculated KS→π+π− decay rate and KL-KS mass difference to their observed values and show that the Penguin contribution does not play a dominant role for the |Δ I | = ½ rule. We then discuss long distance effects on the CP violation in the [Formula: see text] mixing by using the estimated fraction.

scholarly journals NONFACTORIZABLE CONTRIBUTIONS IN NONLEPTONIC WEAK INTERACTIONS OF K MESONS

2001 ◽  
Vol 16 (09) ◽  
pp. 1605-1630 ◽  
Author(s):  
K. TERASAKI
Keyword(s):  
Short Distance ◽  
Weak Interactions ◽  
Mass Difference ◽  
Long Distance ◽  
Field Algebra ◽  
K Meson ◽  
Distance Effects ◽  
Intermediate States ◽  
Meson Pole ◽  
Existing Data

K→ππ, KL-KS mass difference (Δ mK) and KL→γγ(*) are studied systematically by decomposing their amplitude into a sum of factorizable and nonfactorizable ones. The former is calculated by using the naive factorization while the latter is assumed to be controlled by hadron dynamics. Nonfactorizable amplitudes for the K→ππ decays which are estimated by using a hard pion technique dominates the |ΔI| = ½ amplitude. It is seen that the naively factorized short distance term dominates ΔmK as usual since contributions of pseudoscalar-meson poles and ππ intermediate states as the nonfactorizable long distance effects interfere destructively with each other. The K*-meson pole survives in the KL→γγ decay and plays an important role in the present perspective in contrast with the existing theories which are restricted by the theory of field algebra. The form factor for the Dalitz decays of KL and their rates are compared with the existing data.

FCNC PROCESS IN B DECAY AND THE VECTOR MESON DOMINANCE

1999 ◽  
Vol 14 (25) ◽  
pp. 1701-1712
Author(s):  
SURATH KUMAR BISWAS ◽  
V. P. GAUTAM
Keyword(s):  
Vector Meson ◽  
Short Distance ◽  
Distance Effect ◽  
Vector Meson Dominance ◽  
Matrix Elements ◽  
Long Distance ◽  
Inclusive Decays ◽  
The Matrix ◽  
Working Out

We investigate how the vector meson dominance affects the O(αs) virtual corrections in addition to the bremsstrahlung correction while working out the matrix elements for b→sγ and b→ dγ decays. Long-distance effect alone is not appreciable but it is a good supplement to the short-distance contribution. We obtain better results for the inclusive decays.

scholarly journals Терагерцовая спектроскопия магнитоэлектрика HoAl-=SUB=-3-=/SUB=-(BO-=SUB=-3-=/SUB=-)-=SUB=-4-=/SUB=-

2022 ◽  
Vol 130 (1) ◽  
pp. 59
Author(s):  
А.М. Кузьменко ◽  
В.Ю. Иванов ◽  
А.Ю. Тихановский ◽  
А.Г. Пименов ◽  
А.М. Шуваев ◽  
...  
Keyword(s):  
Crystal Field ◽  
Excited States ◽  
Ground State ◽  
Theoretical Study ◽  
Low Frequency ◽  
Local Symmetry ◽  
Matrix Elements ◽  
The Matrix ◽  
Excitation Conditions ◽  
Ground Multiplet

Experimental and theoretical study of submillimeter (terahertz) spectroscopic and magnetic properties of the rare-earth aluminum borate HoAl3(BO3)4 were performed at temperatures 3–300 K. In the transmittance spectra a number of resonance lines were detected at frequencies 2–35 cm–1 for different radiation polarizations. These modes were identified as transitions between the lower levels of the ground multiplet of the Ho3+ ion split by the crystal field, including both transitions from the ground state to the excited ones and transitions between the excited states. The established excitation conditions of the observed modes and the simulation of the spectra made it possible to separate the magnetic and electric dipole transitions and to determine the energies of the corresponding states, their symmetry, and the matrix elements of the transitions. Low-frequency lines that do not fit into the established picture of the electron states of Ho3+ were also found; these lines, apparently, correspond to the ions with the distorted by defects local symmetry of the crystal field.

scholarly journals Triaxiality in the odd-A nuclei 109−117I studied through a microscopic rotationparticle coupling

2018 ◽  
Vol 178 ◽  
pp. 02030
Author(s):  
Swati Modi
Keyword(s):  
Systematic Study ◽  
Coming Out ◽  
Ground State ◽  
Rotor System ◽  
Matrix Elements ◽  
Triaxial Deformation ◽  
The Matrix

A systematic study of ground state spectrum with the triaxial deformation γ for odd-A Iodine isotopes 109−117I is carried out with the nonadiabatic quasiparticle approach. The rotation-particle coupling is accomplished microscopically such that the matrix elements of a particle-plus-rotor system are written in terms of the rotor energies. The 5/2+ state is confirmed as ground state for odd-A 111−117I and also coming out as lowest in energy for 109I.

Inclusive and Exclusive Decay of B- Meson

1997 ◽  
Vol 12 (37) ◽  
pp. 2873-2882 ◽  
Author(s):  
H. Routh ◽  
V. P. Gautam
Keyword(s):  
Large Scale ◽  
B Meson ◽  
Effective Hamiltonian ◽  
Matrix Elements ◽  
Long Distance ◽  
Logarithmic Approximation ◽  
Fermion Operator ◽  
Color Dipole ◽  
The Matrix ◽  
Exclusive Decay

In our letter we deal with the inclusive and exclusive decay of B- meson. The inclusive b→dγ decay has been considered here including the QCD corrections to the Wilson coefficients and the matrix elements of the operators in the effective Hamiltonian. We calculate the O(αs) virtual corrections to the matrix element for b→dγ, taking into account the contributions of the four-fermion operator O2 and the electromagnetic and color dipole type operators. It drastically reduces the large scale dependence of the leading logarithmic approximation. Moreover, while we are considering the exclusive B-→ρ-γ decay, we have taken into consideration both the short distance as well as long distance contributions. Therefore, we have obtained better result for the partial decay width of B-→ρ-γ.

Fine Structure Intervals in Transition Elements

1975 ◽  
Vol 53 (21) ◽  
pp. 2421-2427 ◽  
Author(s):  
Jacek Karwowski ◽  
K. M. S. Saxena ◽  
Serafin Fraga
Keyword(s):  
Fine Structure ◽  
Ground State ◽  
Orbit Interaction ◽  
Matrix Elements ◽  
Transition Elements ◽  
Hartree Fock ◽  
Positive Ions ◽  
Transition Series ◽  
The Matrix ◽  
New Formulation

A new formulation for the evaluation of the matrix elements of the spin-own orbit interaction in many-electron atoms has been applied to the evaluation of the interaction matrices for pN, dN, and fN configurations, using functions that are simultaneous eigenfunctions of the operators J2, L2,S2, and.Jz; the complete results are available as indicated in the text. Using this formulation, the fine structure intervals for the ground states of the neutral atoms and the first three positive ions of the elements of the three transition series have been calculated within the framework of the monoconfigurational approximation, including the electrostatic and spin-own orbit interaction between the states arising from the configuration under consideration. In each case, the spin–orbit parameter and the set of Slater–Condon integrals, obtained from the numerical Hartree–Fock function for the ground state, were used.

scholarly journals ExTRAPOLATION OF K→ππ DECAY AMPLITUDE

2001 ◽  
Vol 16 (28) ◽  
pp. 4637-4658
Author(s):  
MAHIKO SUZUKI
Keyword(s):  
Asymptotic Behavior ◽  
Cp Violation ◽  
Mass Shell ◽  
Decay Amplitude ◽  
Intermediate Energy ◽  
Fundamental Issue ◽  
Matrix Elements ◽  
Initial State ◽  
Numerical Accuracy ◽  
Inelastic Region

We examine the uncertainties involved in the off-mass-shell extrapolation of the K→ππ decay amplitude with emphasis on those aspects that have so far been overlooked or ignored. Among them are initial-state interactions, choice of the extrapolated kaon field, and the relation between the asymptotic behavior and the zeros of the decay amplitude. In the inelastic region the phase of the decay amplitude cannot be determined by strong interaction alone and even its asymptotic value cannot be deduced from experiment. More a fundamental issue is intrinsic nonuniqueness of off-shell values of hadronic matrix elements in general. Though we are hampered with the complexity of intermediate-energy meson interactions, we attempt to obtain a quantitative idea of the uncertainties due to the inelastic region and find that they can be much larger than more optimistic views portray. If large uncertainties exist, they have unfortunate implications in the numerical accuracy of the computation of the direct CP violation parameter ∊′.

Développement complet de l'hamiltonien de vibration–rotation adapté à l'étude des interactions dans les molécules toupies sphériques. Application aux bandes ν2 et ν4 de 12CH4

1977 ◽  
Vol 55 (20) ◽  
pp. 1802-1828 ◽  
Author(s):  
Jean-Paul Champion
Keyword(s):  
Ground State ◽  
Coupling Scheme ◽  
Order Of Approximation ◽  
Matrix Elements ◽  
Coupling Coefficients ◽  
Linear Combinations ◽  
Coriolis Interaction ◽  
Raman Transitions ◽  
The Matrix ◽  
Vibration Rotation

Using an unsymmetrized coupling scheme in the group Td, we determine all the vibration–rotation operators of the Hamiltonian of XY4 molecules, including all possible interactions, up to any order of approximation. We define a basis of Hamiltonian matrices of which the matrix elements are functions of coupling coefficients of the group chain [Formula: see text] only. Thus, we develop a general formalism available for any vibrational sublevels of whatever symmetry. The parameters relative to the different vibrational sublevels are known linear combinations of the coefficients of the Hamiltonian expansion. From these, we deduce simple relations between the parameters associated with the ground state, the fundamentals, and the harmonic and combination bands.We apply this formalism to the study of the Coriolis interaction between ν2 and ν4 of CH4. With only 21 parameters for the two bands, we obtain a standard deviation of 34 mK for 251 Raman transitions of ν2 and 20 mK for 243 ir transitions of ν4.

Operations with elements of transferred density matrix via unitary transformations on extended receiver

2020 ◽  
Vol 18 (03) ◽  
pp. 2050007
Author(s):  
A. I. Zenchuk
Keyword(s):  
Density Matrix ◽  
Matrix Elements ◽  
Algebraic Equations ◽  
Quantum State Transfer ◽  
Long Distance ◽  
Linear Combinations ◽  
State Transfer ◽  
Linear Algebraic Equations ◽  
Unitary Transformations ◽  
The Matrix

We combine the long-distance quantum state transfer and simple operations with the elements of the transferred (nor perfectly) density matrix. These operations are turning some matrix elements to zero, rearranging the matrix elements and preparing their linear combinations with required coefficients. The basic tool performing these operations is the unitary transformation on the extended receiver. A system of linear algebraic equations can be solved in this way as well. Such operations are numerically simulated on the basis of 42-node spin-1/2 chain with the two-qubit sender and receiver.

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