High School Formula for neutrinos emitted per second from a Proto Neutron Star

[Neutrin0]

TL;DR

In need of some help fixing my formula

My current issue is trying to create a formula to find the amount of neutrinos emitted from a Proto neutron star through its life span ( which is 10-20 seconds?) currently I’ve deduced I’ll need to know the amount of total neutrinos in the PNS ( which is 10 to the 57 power ) and the amount trapped and the amount of neutrinos made during cooling. It’s for a paper I’m trying to write and I’m in the math part right now and trying to make my formula work, if anyone can help me out or push me in the right direction it would be great.

 

[Astronuc]

TL;DR: In need of some help fixing my formula

My current issue is trying to create a formula to find the amount of neutrinos emitted from a Proto neutron star through its life span ( which is 10-20 seconds?) currently I’ve deduced I’ll need to know the amount of total neutrinos in the PNS ( which is 10 to the 57 power ) and the amount trapped and the amount of neutrinos made during cooling. It’s for a paper I’m trying to write and I’m in the math part right now and trying to make my formula work, if anyone can help me out or push me in the right direction it would be great.

Has one compared one's formula to other models in the literature? The neutrion production and transmission will depend on assumptions of PNS properties and processes.

See for example,

Proto-neutron star convection and the neutrino-driven wind: implications for the νp-process​

https://academic.oup.com/mnras/article/530/2/2001/7645470

Protoneutron star evolution and the neutrino-driven wind in general relativistic neutrino radiation hydrodynamics simulations​

https://www.aanda.org/articles/aa/full_html/2010/09/aa13106-09/aa13106-09.html

Supernova Theory: Simulation and Neutrino Fluxes
https://www.slac.stanford.edu/econf/C0805263/Slides/Budge.pdf

In the last citation:

The core collapse converts about 1.5 solar masses of
symmetric matter to a proto-neutron star about 30 km in
radius. The final neutron star has a radius of about 10 km
. . .

Convection within the proto-neutron star and mantle
clearly helps, but there is disagreement on whether this is
sufficient. Could the answer be better neutrino transport?

 

[Neutrin0]

Has one compared one's formula to other models in the literature? The neutrion production and transmission will depend on assumptions of PNS properties and processes.

See for example,

Proto-neutron star convection and the neutrino-driven wind: implications for the νp-process​

https://academic.oup.com/mnras/article/530/2/2001/7645470

Protoneutron star evolution and the neutrino-driven wind in general relativistic neutrino radiation hydrodynamics simulations​

https://www.aanda.org/articles/aa/full_html/2010/09/aa13106-09/aa13106-09.html

Supernova Theory: Simulation and Neutrino Fluxes
https://www.slac.stanford.edu/econf/C0805263/Slides/Budge.pdf

In the last citation:

I thank you for the models you’ve sent, I wasn’t able to take a look at them today but I hope to tomorrow or soon. ( currently waiting on some books that’ll help me out a bit with all of this, I’ll make sure to post a response once I’ve read all the articles and gotten my books )