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Proton-neutron quasi-particle random phase approximation (pn-QRPA) theory hasrecently being used for calculation of stellar weak interaction rates of$fp$-shell nuclide with success. Neutrino losses from proto-neutron stars playa pivotal role to decide if these stars would be crushed into black holes orexplode as supernovae. The product of abundance and positron capture rates on$^{55}$Co is substantial and as such can play a role in fine tuning of inputparameters of simulation codes specially in the presupernova evolution.Recently we introduced our calculation of capture rates on $^{55}$Co, in aluxurious model space of $7 \hbar \omega$, employing the pn-QRPA theory with aseparable interaction. Simulators, however, may require these rates on a finescale. Here we present for the first time an expanded calculation of theneutrino energy loss rates and positron capture rates on $^{55}$Co on anextensive temperature-density scale. These type of scale is appropriate forinterpolation purposes and of greater utility for simulation codes. The pn-QRPAcalculated neutrino energy loss rates are enhanced roughly up to two orders ofmagnitude compared with the large-scale shell model calculations and favor alower entropy for the core of massive stars.

Neutrino energy loss rates and positron capture rates on $^{55}$Co for presupernova and supernova physics