2,012 research outputs found
The virial expansion of a classical interacting system
We consider N particles interacting pair-wise by an inverse square potential
in one dimension (Calogero-Sutherland-Moser model). When trapped harmonically,
its classical canonical partition function for the repulsive regime is known in
the literature. We start by presenting a concise re-derivation of this result.
The equation of state is then calculated both for the trapped and the
homogeneous gas. Finally, the classical limit of Wu's distribution function for
fractional exclusion statistics is obtained and we re-derive the classical
virial expansion of the homogeneous gas using this distribution function.Comment: 9 pages; added references to some earlier work on this problem; this
has led to a significant shortening of the paper and a changed titl
Chiral symmetry breaking and stability of quark droplets
We discuss the stability of strangelets -- quark droplets with strangeness --
in the Nambu--Jona-Lasinio model supplemented by a boundary condition for quark
confinement. Effects of dynamical chiral symmetry breaking are considered
properly inside quark droplets of arbitrary baryon number. We obtain the energy
per baryon number of quark droplets with baryon number from one to thousands.
It is shown that strangelets are not the ground states as compared with nuclei,
though they can be locally stable
Cost and benefits of intermediate water storage structures: case study of diggies in Rajasthan
Water storageWater deliveryIrrigation schedulingWater controlIrrigation canalsWatercoursesFarmsCrop productionCost benefit analysis
The Vector Analyzing Power in Elastic Electron-Proton Scattering
We compute the vector analyzing power (VAP) for the elastic scattering of
transversely polarized electrons from protons at low energies using an
effective theory of electrons, protons, and photons. We study all contributions
through second order in , where and are the electron energy and
nucleon mass, respectively. The leading order VAP arises from the imaginary
part of the interference of one- and two-photon exchange amplitudes.
Sub-leading contributions are generated by the nucleon magnetic moment and
charge radius as well as recoil corrections to the leading-order amplitude.
Working to , we obtain a prediction for that is free of
unknown parameters and that agrees with the recent measurement of the VAP in
backward angle scattering.Comment: 24 pages, 11 figures. Typos fixe
Relativistic Harmonic Oscillator with Spin Symmetry
The eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal
scalar and vector harmonic oscillator potentials are derived. Equal scalar and
vector potentials may be applicable to the spectrum of an antinucleion imbedded
in a nucleus. Triaxial, axially deformed, and spherical oscillator potentials
are considered. The spectrum has a spin symmetry for all cases and, for the
spherical harmonic oscillator potential, a higher symmetry analogous to the
SU(3) symmetry of the non-relativistic harmonic oscillator is discussed
Geometric scaling in the spectrum of an electron captured by a stationary finite dipole
We examine the energy spectrum of a charged particle in the presence of a
{\it non-rotating} finite electric dipole. For {\emph{any}} value of the dipole
moment above a certain critical value p_{\mathrm{c}}$ an infinite series of
bound states arises of which the energy eigenvalues obey an Efimov-like
geometric scaling law with an accumulation point at zero energy. These
properties are largely destroyed in a realistic situation when rotations are
included. Nevertheless, our analysis of the idealised case is of interest
because it may possibly be realised using quantum dots as artificial atoms.Comment: 5 figures; references added, outlook section reduce
Comment on ``Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation''
This is a comment on the work of Kolomeisky et al., Phys. Rev. Lett. 85, 1146
(2000). We point out that they are using the wrong form of the energy
functional for one-dimensional fermions. We point out two possible forms of the
energy functional, both of which can be derived from first principles but using
different methods. One is obtained from the collective field theory method,
while the other is derived from the extended Thomas-Fermi method. These two
forms of the energy functional do not support the soliton solutions which are
obtained by Kolomeisky et al.Comment: Revtex, 2 page
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