scholarly journals Hadronic currents and form factors in three-body semileptonic $$\tau $$ decays

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Fabian Krinner ◽  
Stephan Paul
Keyword(s):  
Angular Momentum ◽  
Orbital Angular Momentum ◽  
Dipole Moments ◽  
Form Factors ◽  
Decay Chain ◽  
Full Description ◽  
Final States ◽  
Arbitrary Mass ◽  
Quantum Numbers ◽  
Three Body

AbstractThree-body semileptonic $$\tau $$ τ -decays offer a path to understand the properties of light hadronic systems and CP symmetry violations through searches for electric dipole moments. In studies of electro-weak physics, the hadronic part of the final states has traditionally been described using the language of form factors. Spectroscopic information, resolved in terms of orbital angular momentum quantum-numbers, is best being derived from an explicit decomposition of the hadronic current in the orbital angular momentum basis. Motivated by the upcoming large data samples from $$\mathrm {B}$$ B factories, we present the full description of the hadronic currents decomposed into quantum numbers of the hadronic final state using the isobar picture. We present formulas for orbital angular momenta up to three and apply the rules derived from hadron spectroscopy to formulate the decay chain of hadronic three-body systems of arbitrary mass. We also translate this formalism to the language of form factors and thereby correct insufficiencies found in previous analyses of three-body hadronic final states.

Three-body ion-neutral association

1974 ◽  
Vol 339 (1616) ◽  
pp. 13-28 ◽  
Keyword(s):  
Angular Momentum ◽  
Internal Energy ◽  
Orbital Angular Momentum ◽  
Rate Coefficient ◽  
Classical Mechanics ◽  
Impulse Approximation ◽  
Rate Coefficients ◽  
Quasi Equilibrium ◽  
Binary Collisions ◽  
Three Body

Consideration is given to the calculation of the rate coefficient of processes of the type A + + B + C → AB + + C. Classical mechanics is used. The impulse approximation is adopted and hard-sphere interactions are taken to describe C – A + and C – B collisions. Formulae are derived for the rate coefficients of binary collisions giving specified changes in the internal energy of the associating pair (without reference to their orbital angular momentum) and also of binary collisions giving specified changes in both the internal energy and in the square of the orbital angular momentum. By using quasi-equilibrium statistical theory, the rate co­efficient for three-body ion-neutral association is expressed in terms of either set of binary rate coefficients. Computations are carried out only Hg + + Hg + He → Hg + 2 + He. As expected, the predicted rate co­efficient is too high if specific account is not taken of the orbital angular momentum. If such account is taken excellent agreement is obtained with a measurement at 370 K made by Biondi (1953, 1972, private com­munication). The rate coefficient falls off slowly as the temperature is increased.

ORBITAL ANGULAR MOMENTUM OF GAUGE FIELDS: EXCITATION OF AN ATOM BY TWISTED PHOTONS

2014 ◽  
Vol 25 ◽  
pp. 1460048 ◽  
Author(s):  
ANDREI AFANASEV ◽  
CARL E. CARLSON ◽  
ASMITA MUKHERJEE
Keyword(s):  
Angular Momentum ◽  
Symmetry Axis ◽  
Gauge Fields ◽  
Final States ◽  
Exact Matching ◽  
Angular Momentum Projection ◽  
Selection Rules ◽  
Quantum Numbers ◽  
Photon States ◽  
Atomic States

Twisted photon states, or photon states with large (> ℏ) angular momentum projection in the direction of motion, can photoexcite atomic final states of differing quantum numbers. If the photon symmetry axis coincides with the center of an atom, there are known selection rules that require exact matching between the quantum numbers of the photon and the photoexcited states. The more general case of arbitrarily positioned beams relaxes the selection rules but produces a distribution of quantum numbers of the final atomic states that is novel and distinct from final states produced by plane-wave photons. Numerical calculations are presented using a hydrogen atom as an example.

scholarly journals Parametrizations of three-body hadronic B- and D-decay amplitudes

2019 ◽  
Vol 202 ◽  
pp. 06014
Author(s):  
Benoît Loiseau ◽  
Diogo Boito ◽  
Jean-Pierre Dedonder ◽  
Bruno El-Bennich ◽  
Rafel Escribano ◽  
...  
Keyword(s):  
Recent Work ◽  
Form Factors ◽  
Short Review ◽  
Model Description ◽  
Final States ◽  
Hadronic Final State ◽  
Final State ◽  
Factorization Approach ◽  
Final State Interactions ◽  
Three Body

A short review of our recent work on amplitude parametrizations of three-body hadronic weak B and D decays is presented. The final states are here composed of three light mesons, namely the various charge πππ, Kππ and KK$ \bar K $ states. These parametrizations are derived from previous calculations based on a quasi-two-body factorization approach where the two-body hadronic final state interactions are fully taken into account in terms of unitary S- and P-wave ππ, πK and K$ \bar K $ form factors. They are an alternative to the isobar-model description and can be useful in the interpretation of CP asymmetries.

Propagation of optical orbital-angular-momentum quantum resources via maritime atmospheric turbulence

2019 ◽  
Vol 33 (16) ◽  
pp. 1950162
Author(s):  
Mei-Song Wei ◽  
Yun Zhu ◽  
Jicheng Wang ◽  
Yixin Zhang ◽  
Zheng-Da Hu
Keyword(s):  
Angular Momentum ◽  
Light Source ◽  
Atmospheric Turbulence ◽  
Orbital Angular Momentum ◽  
Propagation Distance ◽  
Angular Momenta ◽  
Quantum Numbers ◽  
The One

We study the propagations of quantum resources encoded in orbital angular momenta of two photons via the turbulent maritime atmosphere. The decay characteristics of entanglement, discord and coherence are studied for the cases of increasing propagation distance, different azimuthal quantum numbers, inner scales of turbulence and wavelengths of light source. We find that the entanglement does not suffer sudden vanishing for the one-side turbulent channels case while entanglement disappears nonasymptotically for a general case of two-side different turbulent channels similar to the specific case of two-side identical turbulent channels. Entanglement, discord and coherence have quite different decay laws and coherence possesses more robustness against the turbulence than entanglement and discord. Our results show that larger azimuthal quantum numbers and larger wavelength of light source may boost the quality of distributions of quantum resources in turbulent maritime atmosphere.

Quantum Numbers of Eigenstates of Generalized de Broglie-Bargmann- Wigner Equations for Fermions with Partonic Substructure

2003 ◽  
Vol 58 (1) ◽  
pp. 1-12 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Angular Momentum ◽  
Integral Equations ◽  
Bound States ◽  
Solution Space ◽  
Many Body ◽  
Quantum Numbers ◽  
Relevant Group ◽  
Three Body ◽  
Relativistic Bound States ◽  
Fusion Theory

Generalized de Broglie-Bargmann-Wigner (BBW) equations are relativistically invariant quantum mechanical many body equations with nontrivial interaction, selfregularization and probability interpretation. Owing to these properties these equations are a suitable means for describing relativistic bound states of fermions. In accordance with de Broglie’s fusion theory and modern assumptions about the partonic substructure of elementary fermions, i.e., leptons and quarks, the three-body generalized BBW-equations are investigated. The transformation properties and quantum numbers of the three-parton equations under the relevant group actions are elaborated in detail. Section 3 deals with the action of the isospin group SU(2), a U(1) global gauge group for the fermion number, the hypercharge and charge generators. The resulting quantum numbers of the composite partonic systems can be adapted to those of the phenomenological particles to be described. The space-time transformations and in particular rotations generated by angular momentum operators are considered in Section 4. Based on the compatibility of the BBW-equations and the group theoretical constraints, in Sect. 5 integral equations are formulated in a representation with diagonal energy and total angular momentum variables. The paper provides new insight into the solution space and quantum labels of resulting integral equations for three parton states and prepares the ground for representing leptons and quarks as composite systems.

scholarly journals CHARM SPECTROSCOPY FROM B FACTORIES

2011 ◽  
Vol 02 ◽  
pp. 158-162
Author(s):  
◽  
J. BENITEZ
Keyword(s):  
Angular Momentum ◽  
Excited States ◽  
Orbital Angular Momentum ◽  
Precision Measurement ◽  
D Mesons ◽  
Final States

A brief review of the excited Ds and D mesons is presented. A precision measurement of the Ds1(2536) mass and width parameters is reported by BABAR. Finally, a recent BABAR study of the Dπ and D*π final states shows first observations of the radial excitations of the D0, D*0, and D*+, as well as the L = 2 excited states of the D0 and D+, where L is the orbital angular momentum of the quarks.

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