Gluonic excitation of exotic hybrid charmonium from lattice QCD

2007 ◽  
Vol 22 (07n10) ◽  
pp. 573-582
Author(s):  
Yan Liu ◽  
Xiang-Qian Luo
Keyword(s):  
Excited State ◽  
Ground State ◽  
Finite Size ◽  
Finite Size Effects ◽  
Well Control ◽  
Hybrid Mesons ◽  
Quantum Numbers ◽  
Anisotropic Lattice ◽  
First Time ◽  
The Continuum

We give the prediction for the ground and excited state masses of the charmonium hybrid mesons, 1-+, 0+-, 0--, with exotic quantum numbers. We employ improved gluon and quark actions on anisotropic lattice, which reduce greatly the lattice artifacts, and lead to good signals. The data are extrapolated to the continuum limit, with finite size effects under well control. The ground state masses of 1-+, 0+-, 0-- agree with our earlier results, where the mass of 0-- were shown for the first time. And the excited state masses, reported for the first time here, are 6.450(190)GeV, 6.629(138)GeV and 8.487(201)GeV respectively.

scholarly journals Thermal Simulations, Open Boundary Conditions and Switches

2018 ◽  
Vol 175 ◽  
pp. 07004 ◽  
Author(s):  
Yannis Burnier ◽  
Adrien Florio ◽  
Olaf Kaczmarek ◽  
Lukas Mazur
Keyword(s):  
Boundary Conditions ◽  
Topological Charge ◽  
Finite Size ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Finite Size Effects ◽  
Compact Spaces ◽  
Integral Current ◽  
Thermal Simulations ◽  
The Continuum

SU(N) gauge theories on compact spaces have a non-trivial vacuum structure characterized by a countable set of topological sectors and their topological charge. In lattice simulations, every topological sector needs to be explored a number of times which reflects its weight in the path integral. Current lattice simulations are impeded by the so-called freezing of the topological charge problem. As the continuum is approached, energy barriers between topological sectors become well defined and the simulations get trapped in a given sector. A possible way out was introduced by Lüscher and Schaefer using open boundary condition in the time extent. However, this solution cannot be used for thermal simulations, where the time direction is required to be periodic. In this proceedings, we present results obtained using open boundary conditions in space, at non-zero temperature. With these conditions, the topological charge is not quantized and the topological barriers are lifted. A downside of this method are the strong finite-size effects introduced by the boundary conditions. We also present some exploratory results which show how these conditions could be used on an algorithmic level to reshuffle the system and generate periodic configurations with non-zero topological charge.

scholarly journals Study of Millimeter-Wave Rotational Spectra ofTrioxane in Ground, v(A), v1(E) = 1 and v2(E) = 1 States

2009 ◽  
Vol 6 (s1) ◽  
pp. S259-S279 ◽  
Author(s):  
Masoud Motamedi ◽  
Najmehalsadat Khademi
Keyword(s):  
Excited State ◽  
Excited States ◽  
Millimeter Wave ◽  
Ground State ◽  
Vibrational States ◽  
Rotational Spectra ◽  
First Time

The millimeter-wave rotational spectra of the ground and excited vibrational states v(A), v1(E) =1 and v2(E ) =1 of the oblate symmetric top molecule, (CH2O)3, have been analyzed again. The B0= 5273.25747MHz, DJ= 1.334547 kHz, DJk= -2.0206 kHz, HJ(-1.01 mHz), HJK(-3.80 mHz), and HKJ(4.1 mHz) have been determined for ground state. For non degenerate excited state, vA(1), the B = 5260.227723 MHz and DJand DJKwere determined 1.27171 kHz and -1.8789 kHz respectively. The 1=±1 series have been assigned in two different excited states v1(E) =1 and v2(E) =1.Most of the parameters were determined with higher accuracy compare with before. For the v2(E) =1 state the Cζ=-1940.54(11) MHz and qJ= 0.0753 (97) kHz were determined for the first time.

scholarly journals Homogeneous one-dimensional Bose–Einstein condensate in the Bogoliubov’s regime

2016 ◽  
Vol 30 (22) ◽  
pp. 1650307 ◽  
Author(s):  
Elías Castellanos
Keyword(s):  
Ground State ◽  
Size Effects ◽  
Finite Size ◽  
Einstein Condensate ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
Low Dimensional ◽  
Bose Einstein

We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional (1D) Bose–Einstein condensate. We assume from the very beginning that the Bogoliubov’s formalism is valid and consequently, we show that in order to obtain a well-defined ground state properties, finite size effects of the system must be taken into account. Indeed, the formalism described in the present paper allows to recover the usual properties related to the ground state of a homogeneous 1D Bose–Einstein condensate but corrected by finite size effects of the system. Finally, this scenario allows us to analyze the sensitivity of the system when the Bogoliubov’s regime is valid and when finite size effects are present. These facts open the possibility to apply these ideas to more realistic scenarios, e.g. low-dimensional trapped Bose–Einstein condensates.

Finite-size effects in exponential random graphs

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
A Gorsky ◽  
O Valba
Keyword(s):  
Random Graphs ◽  
Ground State ◽  
Size Effects ◽  
Chemical Potential ◽  
Network Flows ◽  
Finite Size ◽  
Critical Value ◽  
Star Model ◽  
Finite Size Effects ◽  
Exponential Random Graphs

Abstract In this article, we show numerically the strong finite-size effects in exponential random graphs. Particularly, for the two-star model above the critical value of the chemical potential for triplets a ground state is a star-like graph with the finite set of hubs at network density $p<0.5$ or as the single cluster at $p>0.5$. We find that there exists the critical value of number of nodes $N^{*}(p)$ when the ground state undergoes clear-cut crossover. At $N>N^{*}(p),$ the network flows via a cluster evaporation to the state involving the small star in the Erdős–Rényi environment. The similar evaporation of the cluster takes place at $N>N^{*}(p)$ in the Strauss model. We suggest that the entropic trap mechanism is relevant for microscopic mechanism behind the crossover regime.

Optical Characterization Of GaAs/Si: Spectral Features in the Excitonic Region

1987 ◽  
Vol 91 ◽  
Author(s):  
S. Zemon ◽  
S. K. Shastry ◽  
C. Jagannath ◽  
P. Norris ◽  
G. Lambert
Keyword(s):  
Excited State ◽  
Ground State ◽  
State Transition ◽  
Optical Characterization ◽  
Spectral Width ◽  
Light Hole ◽  
Spectral Features ◽  
Ground State Transition ◽  
First Time

ABSTRACTUsing 4.2 K selective photoluminescence (PL) excitation and PL excitation spectroscopy, the n = 2 excited state of the light-hole exciton is observed for the first time in GaAs/Si. The excited state is about 3 meV above the ground state, similar to exciton results for GaAs/GaAs. A spectral width of 1.8 meV is observed for the ground state transition, the narrowest yet reported.

scholarly journals FINITE SIZE EFFECTS IN ENTANGLED RINGS OF QUBITS

2004 ◽  
Vol 02 (02) ◽  
pp. 149-169 ◽  
Author(s):  
T. MEYER ◽  
U. V. POULSEN ◽  
K. ECKERT ◽  
M. LEWENSTEIN ◽  
D. BRUß
Keyword(s):  
Ground State ◽  
Size Effects ◽  
State Energy ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Nearest Neighbors ◽  
Spin Model ◽  
Total Spin ◽  
Finite Size Effects ◽  
Invariant Rings

We study translationally invariant rings of qubits with a finite number of sites N, and determine the maximal nearest-neighbor entanglement for a fixed z-component of the total spin. For small numbers of sites we present analytical results. We establish a relation between the maximal nearest-neighbor concurrence and the ground state energy of an XXZ spin model. This connection allows us to calculate the concurrence numerically for N≤24. We point out some interesting finite-size effects. Finally, we generalize our results beyond nearest neighbors.

The Ground State and A2Π Excited State of Magnesium Deuteride

1975 ◽  
Vol 53 (15) ◽  
pp. 1477-1482 ◽  
Author(s):  
Walter J. Balfour ◽  
Hugh M. Cartwright
Keyword(s):  
Excited State ◽  
High Resolution ◽  
Emission Spectrum ◽  
Isotope Effect ◽  
Ground State ◽  
Visible Emission ◽  
Molecular Constants ◽  
Dissociation Energies ◽  
First Time ◽  
Π State

The visible emission spectrum of MgD has been reexamined at high resolution. Published analyses of the A2Π → X2Σ+ system have been extended and the data have been combined with observations in the B′2Σ+ → X2Σ+ system to provide information on the ground state levels ν = 3, 4, 5, and 6 for the first time. The following molecular constants (in cm−1) have been determined—for the A2Π state: ωc = 1154.75, ωcxc = 16.675, Bc = 3.2190, Dc = 9.64 × 10−5 and for the X2Σ+ state: ωc = 1077.71, ωcxc = 15.92, Bc = 3.0306, and Dc = 9.39 × 10−5. The dissociation energies in the A2Π and X2Σ+ states have been estimated to be ~ 15 500 cm−1 and ~ 11 500 cm−1 respectively. The MgH/MgD isotope effect and the Λ doubling in the A2Π state are discussed.

scholarly journals Hadronic light-by-light contribution to $$(g-2)_\mu $$ from lattice QCD with SU(3) flavor symmetry

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
En-Hung Chao ◽  
Antoine Gérardin ◽  
Jeremy R. Green ◽  
Renwick J. Hudspith ◽  
Harvey B. Meyer
Keyword(s):  
Lattice Qcd ◽  
Size Effects ◽  
Light Quark ◽  
Finite Size ◽  
Coordinate Space ◽  
Electromagnetic Current ◽  
Flavor Symmetry ◽  
Finite Size Effects ◽  
Symmetric Point ◽  
The Continuum

AbstractWe perform a lattice QCD calculation of the hadronic light-by-light contribution to $$(g-2)_\mu $$ ( g - 2 ) μ at the SU(3) flavor-symmetric point $$m_\pi =m_K\simeq 420\,$$ m π = m K ≃ 420 MeV. The representation used is based on coordinate-space perturbation theory, with all QED elements of the relevant Feynman diagrams implemented in continuum, infinite Euclidean space. As a consequence, the effect of using finite lattices to evaluate the QCD four-point function of the electromagnetic current is exponentially suppressed. Thanks to the SU(3)-flavor symmetry, only two topologies of diagrams contribute, the fully connected and the leading disconnected. We show the equivalence in the continuum limit of two methods of computing the connected contribution, and introduce a sparse-grid technique for computing the disconnected contribution. Thanks to our previous calculation of the pion transition form factor, we are able to correct for the residual finite-size effects and extend the tail of the integrand. We test our understanding of finite-size effects by using gauge ensembles differing only by their volume. After a continuum extrapolation based on four lattice spacings, we obtain $$a_\mu ^{\mathrm{hlbl}}= (65.4\pm 4.9 \pm 6.6)\times 10^{-11}$$ a μ hlbl = ( 65.4 ± 4.9 ± 6.6 ) × 10 - 11 , where the first error results from the uncertainties on the individual gauge ensembles and the second is the systematic error of the continuum extrapolation. Finally, we estimate how this value will change as the light-quark masses are lowered to their physical values.

scholarly journals Photoabsorption to Even-Parity Autoionizing Levels of Na I from the Laser-Populated 3P2p States

1977 ◽  
Vol 43 ◽  
pp. 39-39
Author(s):  
J. Sugar ◽  
T.J. McIlrath ◽  
T.B. Lucatorto ◽  
A.W. Weiss
Keyword(s):  
Absorption Spectrum ◽  
Excited State ◽  
Laser Pulse ◽  
Ground State ◽  
State Density ◽  
Intermediate Coupling ◽  
Complete Ionization ◽  
Sodium Heat Pipe ◽  
Coupling Calculation ◽  
The Continuum

A column of sodium vapor with a significant fraction of the atoms in the 3p2p state (excited state density of the order of 1015 atoms/cm3 ) was prepared by axially irradiating a sodium heat-pipe oven with a pulsed dye laser tuned to the 3s-3p resonant frequency. This technique has recently been shown to produce nearly complete ionization of the illuminated column in ∼ 600 nsec. By passing continuum VUV light down the pipe 150 nsec after initiating the laser pulse, an absorption spectrum of neutral excited state sodium is obtained in the region of autoionizing levels containing the 2p53s3p and 2p53d3p configurations. The continuum is produced by a BRV-type triggered spark that gives a light pulse of ∼ 100 nsec duration in the wavelength range of observation of ∼ 200-400 A. About 25 absorption lines are attributed to these configurations based on predicted wavelengths obtained from an intermediate coupling calculation of the autoionizing levels, including configuration interaction. This appears to be the first observation of these even parity levels, which are inaccessible to photabsorption from the ground state by electric dipole transitions.

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