Abstract

Neutron-proton equilibration is a process which has been used to study the density dependence of the symmetry energy term in the nuclear equation-of-state. This study utilizes constrained molecular dynamics (CoMD) simulations of $^{70}\mathrm{Zn}\phantom{\rule{4pt}{0ex}}+\phantom{\rule{4pt}{0ex}}^{70}\mathrm{Zn}$ with collision energies of 35 and 45 MeV/nucleon. An algorithm is used which searches through CoMD events and identifies the PLF* after it separates from the target and determines its lifetime, $\mathrm{\ensuremath{\Delta}}t$. It also determines the fragments that the PLF* breaks apart into and determines their angular alignment. This technique gives an opportunity to explore how the average alignment of dynamically produced fragments, ${\ensuremath{\langle}\ensuremath{\alpha}\ensuremath{\rangle}}_{\mathrm{dyn}}$, evolves with PLF* lifetime. An approximately linear relationship was determined with $d{\ensuremath{\langle}\ensuremath{\alpha}\ensuremath{\rangle}}_{\mathrm{dyn}}/d\mathrm{\ensuremath{\Delta}}t=0.98\ifmmode\pm\else\textpm\fi{}0.08\phantom{\rule{0.16em}{0ex}}\mathrm{rad}/\mathrm{zs}$ and $1.06\ifmmode\pm\else\textpm\fi{}0.09\phantom{\rule{0.16em}{0ex}}\mathrm{rad}/\mathrm{zs}$ for the 35 and $45\phantom{\rule{0.16em}{0ex}}\mathrm{MeV}/\mathrm{nucleon}$, respectively, indicating a correlation with magnitude consistent with classically determined values which were used for prior experimental studies.

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