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It is possible for some fundamental particles to temporarily "violate" conservation of energy in a way consistent with the uncertainty principle by creating and quickly reabsorbing another particle. For example, a proton can emit a 7+ particle according to p→n++, where the n represents a neutron. The 7+ has a mass of 140 MeV/c². The reabsorption must occur within a time At consistent with the uncertainty principle. (a) Considering the example shown, by how much energy AE is energy conservation tem- porarily violated? (b) For how long At can the exist? (c) Assuming that the π is moving at approximately speed of light, how far from the nucleus could it get in the time At? This is the approximate nge of the strong nuclear force. (d) Assuming that as soon as one pion is reabsorbed another is emitted, how many pions would be recorded by a "nucleon camera" with a shutter speed of 1 us?

It is possible for some fundamental particles to temporarily "violate" conservation of energy in a way consistent with the uncertainty principle by creating and quickly reabsorbing another particle. For example, a proton can emit a 7+ particle according to p→n++, where the n represents a neutron. The 7+ has a mass of 140 MeV/c². The reabsorption must occur within a time At consistent with the uncertainty principle. (a) Considering the example shown, by how much energy AE is energy conservation tem- porarily violated? (b) For how long At can the exist? (c) Assuming that the π is moving at approximately speed of light, how far from the nucleus could it get in the time At? This is the approximate nge of the strong nuclear force. (d) Assuming that as soon as one pion is reabsorbed another is emitted, how many pions would be recorded by a "nucleon camera" with a shutter speed of 1 us?

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It is possible for some fundamental particles to temporarily "violate" conservation of energy in a way consistent with the uncertainty principle by creating and quickly reabsorbing another particle. For example, a proton can emit a 7+ particle according to p→n++, where the n represents a neutron. The 7+ has a mass of 140 MeV/c². The reabsorption must occur within a time At consistent with the uncertainty principle. (a) Considering the example shown, by how much energy AE is energy conservation tem- porarily violated? (b) For how long At can the 7+ exist? (c) Assuming that the 7+ is moving at approximately speed of light, how far from the nucleus could it get in the time At? This is the approximate range of the strong nuclear force. (d) Assuming that as soon as one pion is reabsorbed another is emitted, how many pions would be recorded by a "nucleon camera" with a shutter speed of 1 us?
Transcribed Image Text:It is possible for some fundamental particles to temporarily "violate" conservation of energy in a way consistent with the uncertainty principle by creating and quickly reabsorbing another particle. For example, a proton can emit a 7+ particle according to p→n++, where the n represents a neutron. The 7+ has a mass of 140 MeV/c². The reabsorption must occur within a time At consistent with the uncertainty principle. (a) Considering the example shown, by how much energy AE is energy conservation tem- porarily violated? (b) For how long At can the 7+ exist? (c) Assuming that the 7+ is moving at approximately speed of light, how far from the nucleus could it get in the time At? This is the approximate range of the strong nuclear force. (d) Assuming that as soon as one pion is reabsorbed another is emitted, how many pions would be recorded by a "nucleon camera" with a shutter speed of 1 us?
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