Constraining the Stellar Mass Function in the Galactic Center via Mass Loss from Stellar Collisions

<table>The IMF power-law slope as a function of the PDMF power-law slope for the case of episodic star formation. In each panel the lowest line is <svg height="17.387501" id="M487" style="vertical-align:-2.7337pt" version="1.1" viewbox="0 0 79.112503 17.387501" width="79.112503" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,17.3875)">
<g transform="translate(72,-58.09)">
<text transform="matrix(1,0,0,-1,-71.95,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="16.403936" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.444324" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="34.695824" y="0">0</tspan>
</text>
<text transform="matrix(1,0,0,-1,-31,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">8</tspan>
</text>
<text transform="matrix(1,0,0,-1,-24.04,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">y</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">r</tspan>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">s</tspan>
</text>
</g>
</g>
</svg> and the highest line is <svg height="17.475" id="M488" style="vertical-align:-2.7337pt" version="1.1" viewbox="0 0 79.112503 17.475" width="79.112503" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,17.475)">
<g transform="translate(72,-58.02)">
<text transform="matrix(1,0,0,-1,-71.95,60.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="16.403936" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.444324" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="34.695824" y="0">0</tspan>
</text>
<text transform="matrix(1,0,0,-1,-31,65.96)">
<tspan style="font-size: 8.75px; " x="0" y="0">6</tspan>
</text>
<text transform="matrix(1,0,0,-1,-24.04,60.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">y</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">r</tspan>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">s</tspan>
</text>
</g>
</g>
</svg>.</table>

Advances in Astronomy

fig15

Figure 15

Figure 15: Constraining the Stellar Mass Function in the Galactic Center via Mass Loss from Stellar Collisions 