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The European Commission’s public consultation on the role of publishers in the copyright value chain: a response by the European Copyright Society
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The on-shell self-energy of the uniform electron gas in its weak-correlation limit
The ring-diagram partial summation (or RPA) for the ground-state energy of
the uniform electron gas (with the density parameter ) in its
weak-correlation limit is revisited. It is studied, which treatment
of the self-energy is in agreement with the Hugenholtz-van
Hove (Luttinger-Ward) theorem and which is
not. The correlation part of the lhs h as the RPA asymptotics [in atomic units]. The use of renormalized RPA diagrams for the rhs
yields the similar expression with the sum rule
resulting from three sum rules for the components of and . This
includes in the second order of exchange the sum rule [P. Ziesche, Ann. Phys. (Leipzig), 2006].Comment: 19 pages, 10 figure
The self-energy of the uniform electron gas in the second order of exchange
The on-shell self-energy of the homogeneous electron gas in second order of
exchange, , is given by a certain integral. This integral is treated here in a
similar way as Onsager, Mittag, and Stephen [Ann. Physik (Leipzig) {\bf 18}, 71
(1966)] have obtained their famous analytical expression (in atomic units) for the correlation energy in
second order of exchange. Here it is shown that the result for the
corresponding on-shell self-energy is . The
off-shell self-energy correctly yields (the potential component of ) through the Galitskii-Migdal
formula. The quantities and appear in the
high-density limit of the Hugenholtz-van Hove (Luttinger-Ward) theorem.Comment: 12 pages, 2 figure
Effect of the bound nucleon form factors on charged-current neutrino-nucleus scattering
We study the effect of bound nucleon form factors on charged-current
neutrino-nucleus scattering. The bound nucleon form factors of the vector and
axial-vector currents are calculated in the quark-meson coupling model. We
compute the inclusive C() cross sections using a
relativistic Fermi gas model with the calculated bound nucleon form factors.
The effect of the bound nucleon form factors for this reaction is a reduction
of 8% for the total cross section, relative to that calculated with the
free nucleon form factors.Comment: Latex, 11 pages, 3 figures, version to appear in Phys. Rev. C (Brief
Report
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