Collective Inertial Masses in Nuclear Reactions

Abstract

Towards the microscopic theoretical description for large amplitude collective dynamics, we calculate the coefficients of inertial masses for low-energy nuclear reactions. Under the scheme of energy density functional, we apply the adiabatic self-consistent collective coordinate (ASCC) method, as well as the Inglis' cranking formula to calculate the inertias for the translational and the relative motions, in addition to those for the rotational motion. Taking the scattering between two α particles as an example, we investigate the impact of the time-odd components of the mean-field potential on the collective inertial masses. The ASCC method asymptotically reproduces the exact masses for both the relative and translational motions. On the other hand, the cranking formula fails to do so when the time-odd components exist.

Future of nuclear fission theory

“…Such a method should include a consistent treatment not only for intermediate states but also for the collective inertia. Current methods to compute inertialmass tensor rely on the adiabatic approximation (Giannoni and Quentin 1980, Matsuo et al 2000, Hinohara et al 2007, Hinohara et al 2008, Wen and Nakatsukasa 2020. A challenging problem is to develop a microscopic theory for the large-amplitude collective motion that takes into account non-adiabatic transitions.…”

Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass

“…In Ref. [42], we have published the result for α + α → 8 Be. Thus, in this paper, we present the results for α+ 16 O → 20 Ne and 16 O+ 16 O → 32 S. First, let us show results for the velocity-independent potential with B 3 = 0.…”

Future of Nuclear Fission Theory

“…Such a method should include a consistent treatment not only for intermediate states but also for the collective inertia. Current methods to compute inertial-mass tensor rely on the adiabatic approximation (Giannoni and Quentin, 1980;Matsuo et al, 2000;Hinohara et al, 2007Hinohara et al, , 2008Wen and Nakatsukasa, 2020). A challenging problem is to develop a microscopic theory for the large-amplitude collective motion that takes into account non-adiabatic transitions.…”