Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$

Abstract

The recent experimental determination of the parity violating asymmetry APV in 48 Ca and 208 Pb at Jefferson Lab is important for our understanding on how neutrons and protons arrange themselves inside the atomic nucleus. To better understand the impact of these measurements, we present a rigorous theoretical investigation of APV in 48 Ca and 208 Pb and assess the associated uncertainties. We complement our study by inspecting the static electric dipole polarizability in these nuclei. The analysis is carried out within nuclear energy density functional theory with quantified input. We conclude that the simultaneous accurate description of APV in 48 Ca and 208 Pb cannot be achieved by our models that accommodate a pool of global nuclear properties, such as masses and charge radii, throughout the nuclear chart, and describe --within one standard deviation-the experimental dipole polarizabilities αD in these nuclei.

Effect of isovector scalar meson on equation of state of dense matter within relativistic mean field model

“…2 that bulk properties of SNM like E/A, K, ρ 0 and M * /M have strong correlations with isoscalar coupling parameters g σ , g ω and κ. This study is quite consistent with previous calculations in the literature [20,56,70]. In Fig.…”

“…[14] and references therein. First of its kind model independent measurement of neutron skin thickness ∆r np of 208 Pb [15] and 48 Ca [16] in the Jefferesen lab also inspired theoretical studies to take a fresher look at the isovector channel of the nuclear interaction [17][18][19][20][21].…”

Nuclear symmetry energy and the PREX-CREX neutron skin puzzle within the KIDS framework

“…Parity-violating electron scattering experiments have revealed a thin neutron skin in the 48 Ca nucleus (CREX experiment [10]) and a thick neutron skin in 208 Pb (PREX-II experiment [9]). Within standard energy density functional (EDF) theory, the two results appear irreconcilable because description of 48 Ca appears to require a soft symmetry energy (low slope parameter L) and description of 208 Pb requires a stiff symmetry energy (high L) [22,23]. This remains true when uncertainties in the extraction of the neutron skin thickness from the measured parity violating asymmetry are taken into account.…”

Implications of parity-violating electron scattering experiments on $^{48}$Ca (CREX) and $^{208}$Pb (PREX-II) for nuclear energy density functionals

“…The CREX [13] and PREX-II [14] ex-periments reported the weak-charge form factors of 48 Ca and 208 Pb as F W (q=0.8733 f m −1 )= 0.1304 ± 0.0052 and F W (q=0.3978 f m −1 )= 0.3680± 0.0130, respectively. The measured parity violating asymmetry A P V in 48 Ca and 208 Pb has recently been analyzed using EDFs, indicating that there are difficulties to describe A P V simultaneously in both nuclei [16,17].…”

“…Clearly, the data from the parity-violating electron scattering experiments CREX and PREX-II could not provide a consistent understanding of the neutron skin thickness in 208 Pb. Recent study of parity violating asymmetry A P V in the EDF framework showed that simultaneous accurate description of A P V in 48 Ca and 208 Pb could also not be achieved [17].…”