Presenter Information

Andres JarquinFollow

Major

Physics

Anticipated Graduation Year

2021

Access Type

Open Access

Abstract

Dark matter particles' production, freeze-out, and relic abundance were examined and modeled. We found a solution for the Boltzmann equation, known as the Ricatti equation, for a dark matter particle. Using Mathematica, we numerically solved the differential Ricatti equation for several constant lambda values and created plots with the results. We solved for the dark matter density present today for several particle masses, and then related them to the freeze-out relic abundance of dark matter.

Faculty Mentors & Instructors

Walter Tangarife

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

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Dark Matter Relics

Dark matter particles' production, freeze-out, and relic abundance were examined and modeled. We found a solution for the Boltzmann equation, known as the Ricatti equation, for a dark matter particle. Using Mathematica, we numerically solved the differential Ricatti equation for several constant lambda values and created plots with the results. We solved for the dark matter density present today for several particle masses, and then related them to the freeze-out relic abundance of dark matter.