Role of momentum transfer in the quenching of Gamow-Teller strength

Abstract

The relativistic proton-neutron quasiparticle random phase approximation (pn-RQRPA) is applied in the calculation of the L=0 strength in charge-exchange reactions on ${}^{48}$Ca, ${}^{90}$Zr, ${}^{208}$Pb and nuclei in the Sn isotopic chain. The microscopic theoretical framework is based on the relativistic Hartree-Bogoliubov (RHB) model for the nuclear ground state. The calculation is fully self-consistent, i.e. the same interaction is used both in the RHB equations that determine the quasiparticle basis, and in the matrix equations of the pn-RQRPA. The inclusion of the higher-order terms that include the effect of finite momentum transfer, primarily the isovector spin monopole (IVSM) term, in the transition operator shifts a portion of the strength to the high-energy region above the Gamow-Teller (GT) resonance. The total strength is slightly enhanced in nuclei with small neutron-to-proton ratio but remains unchanged with increasing neutron excess. Based on the strength obtained using the full L=0 transition operator in the pn-RQRPA calculation, we have estimated the impact of the IVSM on the strength measured in the charge-exchagne reactions on ${}^{90}$Zr and found that the data are consistent with the Ikeda sum rule.

23 pages, 7 figures, 3 tables, submitted to Physical Review C

References in corpus (4)

• Calculation of beta-decay rates in a relativistic model with momentum-dependent self-energies
• Stellar electron-capture rates calculated with the finite-temperature relativistic random-phase approximation
• The ${}^{150}$Nd(${}^3$He,$t$) and ${}^{150}$Sm($t$,${}^3$He) reactions with applications to $\beta \beta$ decay of ${}^{150}$Nd
• Relativistic QRPA calculation of muon capture rates

Cited by in corpus (9)

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• Feasibility of the finite amplitude method in covariant density functional theory
• Benchmarking nuclear models for Gamow-Teller response
• Nuclear charge-exchange excitations based on relativistic density-dependent point-coupling model
• Shell model description of Gamow-Teller strengths in $pf$-shell nuclei
• Modeling nuclear weak-interaction processes with relativistic energy density functionals
• Isospin dynamics in nuclear structure
• Isospin transfer modes in exotic nuclei