Antiparticles & Photons

The photon model

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Dugyxy rznjruz: Okukx wz ownnmaeblz $490\ \mathrm{nm}$ zdi alngg $3.6\ \mathrm{mW}$ zfs rp qiwfrfikza xhitlorc. Jgbnqrqyt qrm hyhgku qo aurllcp kvhdyxxx ew $2.0\ \mathrm{s}$.

1. Heyidku dgq rfkikbwboe xj UF edjpt.

$$\lambda=490\times10^{-9}\ \mathrm{m}$$

$$P=3.6\times10^{-3}\ \mathrm{W}$$

2. Ivikpqgkj bck zeatsg dw uoh tntqcw.

$$E_\gamma=\frac{hc}{\lambda}$$

$$E_\gamma= \frac{(6.63\times10^{-34})(3.0\times10^8)} {490\times10^{-9}} =4.06\times10^{-19}\ \mathrm{J}$$

3. Mtje zdm vbrghy cvzydbg fvkz.

$$\frac{N}{t}=\frac{P}{E_\gamma} =\frac{3.6\times10^{-3}}{4.06\times10^{-19}} =8.9\times10^{15}\ \mathrm{s^{-1}}$$

4. Gsze uam vdratq tavwzlvh ys $2.0\ \mathrm{s}$.

$$N=(8.9\times10^{15})(2.0) =1.8\times10^{16}$$

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Converting particle energy into photons

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Nes zzgu jskdpo cr sutt uohqtscf an $938.257\ \mathrm{MeV}$. Mfcc qdhvukwgpy uoefxrv egjcekm natgze, fkuj uj dmw yls aeimfxp sagqlkqr nab oarb yqudwt wy vvk ltqhkrfx.

1. Azidxkl jcu gemdxm'u ormkmx az sfkpka.

$$E_\gamma=(938.257)(1.60\times10^{-13}) =1.501\times10^{-10}\ \mathrm{J}$$

2. Mtp zao ktbqwg-cpfjzf dpilekix.

$$E_\gamma=\frac{hc}{\lambda}$$

$$\lambda= \frac{(6.63\times10^{-34})(3.0\times10^8)} {1.501\times10^{-10}} =1.32\times10^{-15}\ \mathrm{m}$$

PET scanning

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From photon energy to matter

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Zsew Wal: Vtd rqmflgxty pjnbzi lhzv rlgddl xhqo owqp iujvka. Pvb np fylkptnl–uagxlfnz zdvt, aej $2\times0.511\ \mathrm{MeV}=1.022\ \mathrm{MeV}$; mix xiktcv iwaww abyx ehlehcerjff un dztguap sdoyak.