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Display information for equation id:math.3478.9 on revision:3478
* Page found: Alpha-Zerfall (eq math.3478.9)
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Hash: be5cfd82c04305160bfbbf5ca2e98b7b
TeX (original user input):
G=\sqrt{\frac{2m}{\hbar Q}}\frac{Z Z' e^2}{4 \pi \epsilon_0}\underbrace{\left[\arccos\sqrt\frac{Q}B- \sqrt{\frac{Q}{B}(1-\frac{Q}{B})}\right]}_{Q \ll B \to \sim \frac\pi2}
TeX (checked):
G={\sqrt {\frac {2m}{\hbar Q}}}{\frac {ZZ'e^{2}}{4\pi \epsilon _{0}}}\underbrace {\left[\arccos {\sqrt {\frac {Q}{B}}}-{\sqrt {{\frac {Q}{B}}(1-{\frac {Q}{B}})}}\right]} _{Q\ll B\to \sim {\frac {\pi }{2}}}
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MathML (2.105 KB / 458 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi><mi>Q</mi></mrow></mrow></mfrac></mrow></msqrt></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Z</mi><msup><mi>Z</mi><mo>′</mo></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>arccos</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></mfrac></mrow></msqrt></mrow><mo>−</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></mfrac></mrow><mo stretchy="false">(</mo><mn>1</mn><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></mfrac></mrow><mo stretchy="false">)</mo></mrow></msqrt></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>Q</mi><mo>≪</mo><mi>B</mi><mo accent="false">→</mo><mo>∼</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>π</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mrow></mrow></munder></mstyle></mrow></math>
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