Small changes in the binding and excitation energies can lead to significant modifications of the predictions for the synthesis of proton rich isotopes. The $\beta^{+}$-decay and electron capture (EC) rates on $^{57}$Zn are compared to the seminal work of Fuller, Fowler and Newman (FFN). The pn-QRPA calculated $\beta^{+}$-decay rates are generally in good agreement with the FFN calculation. However at high stellar temperatures the calculated $\beta^{+}$-decay rates are almost half of FFN rates. On the other hand, for rp-process conditions, the calculated electron capture ($\beta^{+}$-decay) rates are bigger than FFN rates by more than a factor 2 (1.5) and may have interesting astrophysical consequences.'
author:
- 'Jameel-Un Nabi'
- 'Muneeb-Ur Rahman'
title: 'Gamow-Teller strength distribution in proton-rich nucleus $^{57}$Zn and its implications in astrophysics'
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Introduction {#intro}
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The weak interactions and gravity are the guru that drive the evolution of heavy mass stars and the concomitant nucleosynthesis, which has been the subject of much computation. The incarnation of the core-collapse mechanism is the conversion of a fraction of the gravitational energy into kinetic energy of the ejecta and internal energy of the inner core of the exploding star [@Bur06]. This inner core is mainly composed of iron group nuclei 