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\newcommand{\soptitle}{Research Statement}
\newcommand{\yourname}{Enoch Ayeh}
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\large of \yourname\ (NSF applicant for 2019)
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Mona-Lisa is a neutron detector in operation at Michigan State's National Superconducting Cyclotron laboratory (NSCL).
It is part of on-going research to understand <insert name of physical process>. This processes is outside the scope of the phenomenological model known as the Neutron drip line (NDL). Thus, the Mona-Lisa project is interesting because it provides a new domain to develop and test more general models (\textit{isotypes}). My particular focus is on the computational analysis needed to interpret the experimental data observed by Mona-Lisa. The neutron capture process can be viewed as a game of darts. Where the dartboard is the detector and the darts are the particles thrown of by nuclear decay. The distribution and types of particles observed by the detector gives us insight into radioactive process occurring the during the nuclear decay.

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\textbf{Intellectual Merit}
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As current experiments regarding Mona-Lisa allow insight into the collective behavior of neutrons, there are missing piece  of information from experiments. In regards to this I purpose the use of Monte-Carlo approach's and methods to provide accurate simulations in regards to behavior of Neutron's nucleus undergoing the detection by Mona-Lisa. The project in question is divided into three stages: (i) Taking slices of Mona, (ii) Taking a leap, and (iii) finally new Physics.

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\textbf{Taking slices of Mona-Lisa} With Mona-Lisa's target being a circle in the middle of the detector one can introduce a slice, and cut the detector target accordingly so when an experiment occurs conducting tasks like data analysis or sampling is much easier as an example with taking the partitioning of the detector target one can look at various cases of the behavior of the Nucleus when undergoing neutron detection, based on where our "dart's" land in any given region of our "dartboard".

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\textbf{Taking a leap from 1 game of darts to} $n$ \textbf{game of darts}. After taking care of the geometry of our detector target, one can experimentally via M.C.S (Monte-Carlo Simulations) can tweak the behavior of the darts from the amount we throw at our dartboard, the randomness of our dart's in terms of the distribution and position, etc. In dong this allows one to find which distribution best characterizes what happens after each round of a game of dart's depending on really to a bit more pedantic the characterization of the distribution is dependent on the amount of $n$ thrown during each land and where they land on our dartboard. As a consequence of this we can get a statistical analysis for different kinds of dart's thrown in different situations.



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\textbf{New Physics}

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From doing the Statistical Analysis mentioned in the section "Tacking a leap" from that data we gather based on experiments run one may get insight into what's going on in the nucleus of whatever your throwing at the detector target.



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\textbf{Boarder Impacts}
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The work presented here will result in a more increasing understand of the behavior of Nuclei undergoing scattering via Mona-Lisa. The results of this work promote collaboration between Theoretician's(Statisticians, Mathematicians, Computer Scientists, Physicists) and Experimental Physicists. Data from this project may be used to inform future experiments in the future as well as to provide better insight on how to tackle more non-trivial problems on a case by case basis. For outreach purposes I purpose leveraging existing resources to create an educational video's on the reality of scientific research.




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