Does an increase in gain cause peaks to shift right?

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Pri
In a spectrum from an MCA (that is hooked up to a scintillator and PMT), does an increase in amplifier gain cause the peak to shift towards higher channels? I have a source and its really weak so while calibrating my detector, I had to turn the gain up way high to see a peak, but I'd preferably operate at much lower gain because of intense noise, however, on reducing the gain I can no longer see the peak. (Gain increase at same HV power)
 
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Hello

So, do you have "PMT->Amplifier->MCA"?

Greetings