Structural properties of Na atom under impenetrable spatialconfinement

Author(s):  
Santanu Mondal ◽  
K.D. Sen ◽  
Jayanta K. Saha

The structural properties and radial distributions of valence electron in different excited levels of Na atom [n = 3 − 5, l = 0 − 4; n and l being the principal and orbital angular momentum quantum numbers, respectively] under impenetrable spherical confinement has been studied, where the interaction between the frozen core and the valence electron is mimicked by model potential available in the literature. The effect of the core on the valence electron has been investigated by estimating the structural properties of Na10+ ion under similar confinement. Scaled radial densities at the nucleus and related ratios are presented for few excited states of the valence electron of Na atom and the corresponding analytic results have been tested numerically.

1978 ◽  
Vol 31 (12) ◽  
pp. 2571 ◽  
Author(s):  
E Nagy-Felsobuki ◽  
JB Peel

A molecular valence-electron-only model potential (VEOMP) method is proposed in which the core-valence interpenetration term is replaced by an exponential screening function and the core-valence orthogonality is represented by a pseudopotential term in which the required parametrization is minimized without compromising the effectiveness of the method. This model has been incorporated in the GAUSSIAN 70 programs, and sample calculations, using the STO-3G and STO-6G minimum basis sets, are reported for the orbital energies and equilibrium bond lengths of the ground states of N2, PN and P2.


2007 ◽  
Vol 76 (1) ◽  
pp. 013705 ◽  
Author(s):  
Fumihiko Matsui ◽  
Tomohiro Matsushita ◽  
Yukako Kato ◽  
Fang Zhun Guo ◽  
Hiroshi Daimon

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Fabian Krinner ◽  
Stephan Paul

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.


1970 ◽  
Vol 48 (22) ◽  
pp. 3504-3509 ◽  
Author(s):  
F. Aubke ◽  
F. G. Herring ◽  
A. M. Qureshi

The chemical shifts of the 14N nucleus in a number of nitrogen–halogen–oxygen compounds have been estimated within the framework of the i.n.d.o.-l.c.a.o.-s.c.f. method using approximate perturbed Hartree–Fock theory. Generally good agreement with experiment is achieved. The calculations indicate that the variation in 14N chemical shift is due to either changes in orbital angular momentum, or to the presence of low lying excited states, or to a combination of both effects.


2019 ◽  
Vol 33 (16) ◽  
pp. 1950162
Author(s):  
Mei-Song Wei ◽  
Yun Zhu ◽  
Jicheng Wang ◽  
Yixin Zhang ◽  
Zheng-Da Hu

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.


2017 ◽  
Vol 32 (25) ◽  
pp. 1750153 ◽  
Author(s):  
Duojie Jia ◽  
Cheng-Qun Pang ◽  
Atsushi Hosaka

We study the Regge-like spectra of light mesons in a relativized quark model. An analytical mass formula is presented for the light unflavored mesons with the help of auxiliary field method, by which a quasi-linear Regge–Chew–Frautschi plot is predicted for the orbitally excited states. We show that the trajectory slope is proportional to the inverse of the confining parameter [Formula: see text] when the orbital angular momentum [Formula: see text] is large. The result is tested against the experimental data of the spectra of the meson families [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] in the [Formula: see text] planes, with the fitted parameters consistent with that in the literatures.


2004 ◽  
Vol 18 (17n19) ◽  
pp. 2590-2594
Author(s):  
BINGCONG GOU ◽  
YIDONG LIU ◽  
FENG WANG

The energies, radiative and Auger rates of the doubly excited states of Be-like Ar 14+ ion are studied by using the multi-configuration-interaction method and model potential method. The doubly excited states of Be-like Ar 14+ are labeled by the quantum numbers K, T and A to show the systematic regularity. The results show that the spectroscopy of Be-like ions is different from that of He-like ions because of the polarization and core penetration effects from the 1s2 core electrons.


2011 ◽  
Vol 02 ◽  
pp. 158-162
Author(s):  
◽  
J. BENITEZ

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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