Exact solution of a two-component Calogero-Sutherland model with molecular field

2002 ◽  
Vol 66 (1) ◽  
Author(s):  
Junpeng Cao ◽  
Gang Xiong ◽  
Ruihong Yue ◽  
Yupeng Wang
Keyword(s):  
Exact Solution ◽  
Molecular Field ◽  
Two Component ◽  
Sutherland Model

EFFECTIVE LAGRANGIAN FOR THE TWO-COMPONENT APPROACH TO THE "PROTON SPIN" PUZZLE

1990 ◽  
Vol 05 (30) ◽  
pp. 2543-2553 ◽  
Author(s):  
J. SCHECHTER ◽  
V. SONI ◽  
A. SUBBARAMAN ◽  
H. WEIGEL
Keyword(s):  
Exact Solution ◽  
Matrix Element ◽  
Symmetry Breaking ◽  
Momentum Transfer ◽  
Proton Spin ◽  
Effective Lagrangian ◽  
Two Component ◽  
Component Approach ◽  
Entire Matrix ◽  
Zero Momentum

We display an effective chiral Lagrangian which illuminates the mechanism found by Shore and Veneziano for decomposing the proton matrix element of the axial singlet current into quark and gluonic pieces. The entire matrix element is shown to be proportional to the amplitude for SU(3) singlet exchange in baryon-baryon scattering at zero momentum transfer. An effect of SU(3) symmetry breaking relevant for analysis of the EMC experiment is discussed. In addition, an exact solution is presented for the pseudoscalar quark densities which enter into an alternative method of derivation.

New Application of Elzaki Projected Differential Transform Method

2017 ◽  
Vol 14 (1) ◽  
pp. 631-639 ◽  
Author(s):  
Muhammad Suleman ◽  
Tarig. M Elzaki ◽  
Qingbiao Wu ◽  
Naveed Anjum ◽  
Jamshaid Ul Rahman
Keyword(s):  
Exact Solution ◽  
Error Analysis ◽  
Nonlinear Wave ◽  
Numerical Results ◽  
Differential Transform Method ◽  
Wave Processes ◽  
Transform Method ◽  
Differential Transform ◽  
Two Component ◽  
Convergent Solution

In this Manuscript, a system of generalized Drinfeld-Sokolov (gDS) equations is considered, which can be used to model nonlinear wave processes in two component media. We apply Elzaki projected differential transform method for solving gDS. Compare the numerical results obtain by proposed method with the exact solution. The comparison shows that EPDTM is reliable, accurate, and effective and gives the convergent solution. An error analysis of the obtained solution is provided.

scholarly journals NORMALIZATION OF THE WAVEFUNCTION FOR THE CALOGERO-SUTHERLAND MODEL WITH INTERNAL DEGREES OF FREEDOM

1995 ◽  
Vol 09 (10) ◽  
pp. 1243-1261 ◽  
Author(s):  
P.J. FORRESTER
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Degrees Of Freedom ◽  
Selberg Integral ◽  
Beta Integral ◽  
Two Component ◽  
Sutherland Model ◽  
Component Case ◽  
Trigonometric Integral ◽  
Internal Degrees Of Freedom

The exact normalization of a multicomponent generalization of the ground state wave-function of the Calogero-Sutherland model is conjectured. This result is obtained from a conjectured generalization of Selberg’s N-dimensional extension of the Euler beta integral, written as a trigonometric integral. A new proof of the Selberg integral is given, and the method is used to provide a proof of the multicomponent generalization in a special two-component case.

Spectroscopic Observations of Visual Double Stars

1965 ◽  
Vol 5 ◽  
pp. 109-111
Author(s):  
Frederick R. West
Keyword(s):  
Radial Velocity ◽  
High Dispersion ◽  
Velocity Difference ◽  
Spectrograph Slit ◽  
Spectroscopic Observations ◽  
Double Stars ◽  
Visual Double Stars ◽  
Relative Orbit ◽  
Two Component ◽  
Star Images

There are certain visual double stars which, when close to a node of their relative orbit, should have enough radial velocity difference (10-20 km/s) that the spectra of the two component stars will appear resolved on high-dispersion spectrograms (5 Å/mm or less) obtainable by use of modern coudé and solar spectrographs on bright stars. Both star images are then recorded simultaneously on the spectrograph slit, so that two stellar components will appear on each spectrogram.

A technique for protecting delicate specimens during processing

1989 ◽  
Vol 47 ◽  
pp. 982-983
Author(s):  
R.J. Mount ◽  
R.V. Harrison
Keyword(s):  
Basilar Membrane ◽  
Low Cost ◽  
Organ Of Corti ◽  
Region Of Interest ◽  
Sensory Epithelium ◽  
Physical Damage ◽  
Air Drying ◽  
Specimen Handling ◽  
Two Component

The sensory end organ of the ear, the organ of Corti, rests on a thin basilar membrane which lies between the bone of the central modiolus and the bony wall of the cochlea. In vivo, the organ of Corti is protected by the bony wall which totally surrounds it. In order to examine the sensory epithelium by scanning electron microscopy it is necessary to dissect away the protective bone and expose the region of interest (Fig. 1). This leaves the fragile organ of Corti susceptible to physical damage during subsequent handling. In our laboratory cochlear specimens, after dissection, are routinely prepared by the O-T- O-T-O technique, critical point dried and then lightly sputter coated with gold. This processing involves considerable specimen handling including several hours on a rotator during which the organ of Corti is at risk of being physically damaged. The following procedure uses low cost, readily available materials to hold the specimen during processing ,preventing physical damage while allowing an unhindered exchange of fluids.Following fixation, the cochlea is dehydrated to 70% ethanol then dissected under ethanol to prevent air drying. The holder is prepared by punching a hole in the flexible snap cap of a Wheaton vial with a paper hole punch. A small amount of two component epoxy putty is well mixed then pushed through the hole in the cap. The putty on the inner cap is formed into a “cup” to hold the specimen (Fig. 2), the putty on the outside is smoothed into a “button” to give good attachment even when the cap is flexed during handling (Fig. 3). The cap is submerged in the 70% ethanol, the bone at the base of the cochlea is seated into the cup and the sides of the cup squeezed with forceps to grip it (Fig.4). Several types of epoxy putty have been tried, most are either soluble in ethanol to some degree or do not set in ethanol. The only putty we find successful is “DUROtm MASTERMENDtm Epoxy Extra Strength Ribbon” (Loctite Corp., Cleveland, Ohio), this is a blue and yellow ribbon which is kneaded to form a green putty, it is available at many hardware stores.

Fifth virial coefficient of a two-component mixture of hard discs

1997 ◽  
Vol 90 (4) ◽  
pp. 679-681
Author(s):  
F. SAIJA ◽  
G. FIUMARA ◽  
P.V. GIAQUINTA
Keyword(s):  
Virial Coefficient ◽  
Component Mixture ◽  
Two Component
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