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| Tags: pairproduction, photon, result, spin |
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#1
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I was just checking on wikipedia about photon spin, and came across the
following paragraph. "In general, a boson with spin 1 should be observable with three distinct spin projections (-1, 0 and 1). However, the zero projection would require a frame where the photon is at rest. Because the (rest) mass is zero, such a frame does not exist, according to the theory of relativity." If the spin of a photon became zero then it would cease to exist. To conserve spin, particles totalling spin 1 would need to be created, such as electron-positron, positron-neutrino, or quark-antiquark. We observe this effect in pair production and the weak interaction, so my question is: Is there any evidence proving that pair production is not a result of a photons spin becoming zero? |
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#2
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"Golden Boar" wrote in message oups.com... I was just checking on wikipedia about photon spin, and came across the following paragraph. "In general, a boson with spin 1 should be observable with three distinct spin projections (-1, 0 and 1). However, the zero projection would require a frame where the photon is at rest. Because the (rest) mass is zero, such a frame does not exist, according to the theory of relativity." If the spin of a photon became zero then it would cease to exist. No. if an elementary particle has spin, S = 0, or spin projection, S_z = 0, it's not a photon. A single photon always has S = 1, but never has S_z = 0. To conserve spin, particles totalling spin 1 would need to be created, such as electron-positron, positron-neutrino, or quark-antiquark. No. Total angular momentum, J = j1 + j2 is conserved. if orbital angular momentum is zero, then total spin S = J = s1 + s2 is conserved, but a pair of photons, as well as a pair of leptions, can have S = J = s1 + s2 = 0. We observe this effect in pair production and the weak interaction, so my question is: Is there any evidence proving that pair production is not a result of a photons spin becoming zero? There are no proofs in physics. Assigned photon intrinsic spin, S = 1, S_z = 0, is constant with all observations. Actually, a photon state is described by it's total angular momentum, J = L + S. A photon's intrinsic spin, S = 1, and it's orbital angular momentum, L, add as vectors: J = L + S. L and S aren't good quantum numbers, but J is. For a given J, L = J + 1 or L = J - 1. Because the photon possesses transverse electric and magnetic fields, J = 0 is forbidden for a single photon, and J = 1 is forbidden for two photons. Thus, a two photon state, with total angular momentum, J = 0, as in electron-positron pair creation (lepton singlet state) is allowed and is observed. [Old Man] |
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#3
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"Old Man" wrote in message ... "Golden Boar" wrote in message oups.com... I was just checking on wikipedia about photon spin, and came across the following paragraph. "In general, a boson with spin 1 should be observable with three distinct spin projections (-1, 0 and 1). However, the zero projection would require a frame where the photon is at rest. Because the (rest) mass is zero, such a frame does not exist, according to the theory of relativity." If the spin of a photon became zero then it would cease to exist. No. if an elementary particle has spin, S = 0, or spin projection, S_z = 0, it's not a photon. A single photon always has S = 1, but never has S_z = 0. To conserve spin, particles totalling spin 1 would need to be created, such as electron-positron, positron-neutrino, or quark-antiquark. No. Total angular momentum, J = j1 + j2 is conserved. if orbital angular momentum is zero, then total spin S = J = s1 + s2 is conserved, but a pair of photons, as well as a pair of leptions, can have S = J = s1 + s2 = 0. We observe this effect in pair production and the weak interaction, so my question is: Is there any evidence proving that pair production is not a result of a photons spin becoming zero? There are no proofs in physics. Assigned photon intrinsic spin, S = 1, S_z = 0, is constant with all observations. Actually, a photon state is described by it's total angular momentum, J = L + S. A photon's intrinsic spin, S = 1, and it's orbital angular momentum, L, add as vectors: J = L + S. L and S aren't good quantum numbers, but J is. For a given J, L = J + 1 or L = J - 1. Because the photon possesses transverse electric and magnetic fields, J = 0 is forbidden for a single photon, and J = 1 is forbidden for two photons. Thus, a two photon state, with total angular momentum, J = 0, as in electron-positron pair creation (lepton singlet state) is allowed and is observed. In addition, a system of two photons (in electron-positron annihilation) has invariant mass. Thus a center-of-momentum frame exists wherein transverse spin, J_z = S_z = 0 is allowed. [Old Man] [Old Man] |
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