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Effects of Neutron-Proton Short-Range Correlation on the Equation of State of Dense Neutron-Rich Nucleonic Matter
The strongly isospin-dependent tensor force leads to short-range correlations
(SRC) between neutron-proton (deuteron-like) pairs much stronger than those
between proton-proton and neutron-neutron pairs. As a result of the short-range
correlations, the single-nucleon momentum distribution develops a high-momentum
tail above the Fermi surface. Because of the strongly isospin-dependent
short-range correlations, in neutron-rich matter a higher fraction of protons
will be depleted from its Fermi sea and populate above the Fermi surface
compared to neutrons. This isospin-dependent nucleon momentum distribution may
have effects on: (1) nucleon spectroscopic factors of rare isotopes, (2) the
equation of state especially the density dependence of nuclear symmetry energy,
(3) the coexistence of a proton-skin in momentum space and a neutron-skin in
coordinate space (i.e., protons move much faster than neutrons near the surface
of heavy nuclei). In this talk, we discuss these features and their possible
experimental manifestations. As an example, SRC effects on the nuclear symmetry
energy are discussed in detail using a modified Gogny-Hartree-Fock (GHF) energy
density functional (EDF) encapsulating the SRC-induced high momentum tail (HMT)
in the single-nucleon momentum distribution
Relationship between the symmetry energy and the single-nucleon potential in isospin-asymmetric nucleonic matter
In this contribution, we review the most important physics presented
originally in our recent publications. Some new analyses, insights and
perspectives are also provided. We showed recently that the symmetry energy
and its density slope at an arbitrary density
can be expressed analytically in terms of the magnitude and momentum dependence
of the single-nucleon potentials using the Hugenholtz-Van Hove (HVH) theorem.
These relationships provide new insights about the fundamental physics
governing the density dependence of nuclear symmetry energy. Using the isospin
and momentum (k) dependent MDI interaction as an example, the contribution of
different terms in the single-nucleon potential to the and
are analyzed in detail at different densities. It is shown that the
behavior of is mainly determined by the first-order symmetry
potential of the single-nucleon potential. The density
slope depends not only on the first-order symmetry potential
but also the second-order one . Both the
and at normal density are
constrained by the isospin and momentum dependent nucleon optical potential
extracted from the available nucleon-nucleus scattering data. The
especially at high density and momentum affects
significantly the , but it is theoretically poorly understood and
currently there is almost no experimental constraints known.Comment: 9 pages, 6 figures, Review paper, Contribution to the "Topical Issue"
on "Nuclear Symmetry Energy" in European Physical Journal
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