Energy Rates Due to Weak Decay Rates of Vanadium Isotopes in Stellar Environment

Abstract

The neutrino cooling and gamma heating rates are considered as an important input needed to study the final phases of the evolution of high-mass stars. The weak-interaction mediated processes, namely the $\beta$-decay and electron capture, significantly change the lepton to baryon ratio and accelerate the contraction of the core. The emission of resulting neutrinos/antineutrinos tends to cool the stellar core. On the other hand, gamma rays are produced because of electron capture and $\beta$-decay to excited states in daughter nuclei. These gamma rays heat the core and contribute to an increase of entropy which may cause convection to occur. In the present work, the weak-interaction heating and cooling rates on a chain of twenty-two isotopes of vanadium having mass in the range $43-64$ have been estimated using the proton-neutron quasiparticle random phase approximation theory. The rates have been computed for the temperature ranging from ($10^7-3\times 10^{10}$)\;K and for the density range ($10-10^{11}$)\;g/cm${}^3$. Our calculated neutrino energy loss rates have also been compared with the previously reported rates calculated using other theoretical models. At high stellar temperatures, our rates are larger by 1-2 orders of magnitude as compared to previous results.

33 Pages, 13 Tables, 9 Figures

References in corpus (7)

• Theory of Core-Collapse Supernovae
• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• Stellar electron-capture rates in pf-shell nuclei from quasiparticle random-phase approximation calculations
• Weak-interaction mediated rates on iron isotopes for presupernova evolution of massive stars
• Stellar ${\beta }^{\pm }$ decay rates of iron isotopes and its implications in astrophysics
• Neutrino and antineutrino energy loss rates in massive stars due to isotopes of titanium
• The Nuclear Structure and Associated Electron Capture Rates on Odd-Z Nucleus ${}^{51}$V in Stellar Matter

Cited by in corpus (3)

• Lepton capture rates due to isotopes of vanadium in astrophysical environment
• $\beta$-decay properties of some astrophysically important Sc-isotopes
• Lepton emission rates of 43-64V isotopes under stellar conditions