111,717 research outputs found
Qualitative feature of the low-lying spectrum of intrashell states of 4-valence-electron atoms derived from symmetry consideration
Inherent nodal surfaces existing in the wavefunctions of intrashell states of
4-valence-electron atoms have been investigated. The decisive effect of these
surfaces has been demonstrated, the ordering of low-lying levels has been
predicted, a primary classification scheme has been proposed, the existence of
three rotation bands has been suggested.Comment: 10 pages, no figure
Deduction of the quantum unmbers of low-lying states of the (e+e+e-e-) system from symmetry consideration
The feature of the low-lying spectrum and a complete set of quantum numbers
of the (e+e+e-e-) system have been deduced based on symmetry consideration. The
existence of a low odd-parity L=1 excited state with the spins of the two
electrons coupled to s1=1 and the two positrons coupled to s2=0 (or s1=0 and
s2=1) and a low even-parity L=0 excited state with s1=s2=1 have been predicted.
The discussion is generalized to 2-dimensional (e+e+e-e-) systems.Comment: 12 pages, 5 tables, no figure
Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump
The well-known Migdal-Luttinger theorem states that the jump of the
single-nucleon momentum distribution at the Fermi surface is equal to the
inverse of the nucleon effective E-mass. Recent experiments studying
short-range correlations (SRC) in nuclei using electron-nucleus scatterings at
the Jefferson National Laboratory (JLAB) together with model calculations
constrained significantly the Migdal-Luttinger jump at saturation density of
nuclear matter. We show that the corresponding nucleon effective E-mass is
consequently constrained to in
symmetric nuclear matter (SNM) and the E-mass of neutrons is smaller than that
of protons in neutron-rich matter. Moreover, the average depletion of the
nucleon Fermi sea increases (decreases) approximately linearly with the isospin
asymmetry according to for protons (neutrons). These results will help improve
our knowledge about the space-time non-locality of the single-nucleon potential
in neutron-rich nucleonic matter useful in both nuclear physics and
astrophysics.Comment: Discussions added. Version accepted by PL
H(2)-Unknotting Operation Related to 2-Bridge Links
This paper concerns the H(2)-unknotting numbers of links related to 2-bridge
links. It consists of three parts. In the first part, we consider a necessary
and sufficient condition for a 2-bridge link to have H(2)-unknotting number
one. The second part concerns an explicit form of composite links with
H(2)-unknotting number one. In the last part, we develop a method of studying
the H(2)-unknotting numbers of some tangle unknotting number one knots via
2-bridge knots.Comment: 14 pages, 9 figure
Convergence rate of dimension reduction in Bose-Einstein condensates
In this paper, we study dimension reduction of the three-dimensional (3D)
Gross-Pitaevskii equation
(GPE) modelling Bose-Einstein condensation under different limiting
interaction and trapping frequencies parameter regimes.
Convergence rates for the dimension reduction of 3D ground state and dynamics
of the GPE in the case of disk-shaped condensation and cigar-shaped
condensation are reported based on our asymptotic and numerical results. In
addition, the parameter regimes in which the 3D GPE cannot be reduced to lower
dimensions are identified.Comment: 27pages; 9 figure
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