3,815 research outputs found
Mean field approximation for the dense charged drop
In this note, we consider the mean field approximation for the description of
the probe charged particle in a dense charged drop. We solve the corresponding
Schr\"{o}dinger equation for the drop with spherical symmetry in the first
order of mean field approximation and discuss the obtained results.Comment: 8 page
One-rank interaction kernel of the two-nucleon system for medium and high energies
A new version of the separable kernel of the nucleon-nucleon interaction in
the Bethe-Salpeter approach is presented. The phase shifts are fitted to recent
experimental data for singlet and uncoupled triplet partial waves of the
neutron-proton scattering with total angular momenta J=0,1. The results are
compared with other model calculations.Comment: 10 pages, 5 figures, 3 table
New asymptotic estimates for spherical designs
Let N(n, t) be the minimal number of points in a spherical t-design on the
unit sphere S^n in R^{n+1}. For each n >= 3, we prove a new asymptotic upper
bound N(n, t) <= C(n)t^{a_n}, where C(n) is a constant depending only on n, a_3
<= 4, a_4 <= 7, a_5 <= 9, a_6 <= 11, a_7 <= 12, a_8 <= 16, a_9 <= 19, a_10 <=
22, and a_n 10.Comment: 12 page
Recent experimental data and the size of the quark in the Constituent Quark Model
We use the Constituent Quark Model (CQM) to describe CDF data on double
parton cross section and HERA data on the ratio cross section of
elastic and inelastic diffractive productions. Our estimate shows that the
radius of the constituent quark turns out to be rather small, , in accordance with the assumption on which CQM is based.Comment: 21 pages, 19 figure
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