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Empirical information on nuclear matter fourth-order symmetry energy from an extended nuclear mass formula
We establish a relation between the equation of state (EOS) of nuclear matter
and the fourth-order symmetry energy of finite nuclei in a
semi-empirical nuclear mass formula by self-consistently considering the bulk,
surface and Coulomb contributions to the nuclear mass. Such a relation allows
us to extract information on nuclear matter fourth-order symmetry energy
at normal nuclear density from analyzing
nuclear mass data. Based on the recent precise extraction of
via the double difference of the "experimental" symmetry
energy extracted from nuclear masses, for the first time, we estimate a value
of MeV. Such a value of
is significantly larger than the predictions from
mean-field models and thus suggests the importance of considering the effects
of beyond the mean-field approximation in nuclear matter calculations.Comment: 7 pages, 1 figure. Presentation improved and discussions added.
Accepted version to appear in PL
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