## Interactions of High Energy Particles with Nuclei |

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Page 3

One can also use some arguments based on approximate solutions of the wave

One can also use some arguments based on approximate solutions of the wave

**equation**of the incident particle interacting through potentials with the target particles . For instance , in the case of the Schrödinger**equation**E ↓ = 2m ... Page 4

Take at + iq • ▽ — eV ¥ ° + 1⁄2 Koμ » F » — m ) 4 : + ir • -eVy ° + 1⁄2Ko1Fμm ) = 0 Ο ~ [ - ] - [ 1- απ 8 0 to get ( i — + ia • ▽ ―eV + ß1⁄41⁄2Kσ „ F “ — ßm ) = 0 . με at This

Take at + iq • ▽ — eV ¥ ° + 1⁄2 Koμ » F » — m ) 4 : + ir • -eVy ° + 1⁄2Ko1Fμm ) = 0 Ο ~ [ - ] - [ 1- απ 8 0 to get ( i — + ia • ▽ ―eV + ß1⁄41⁄2Kσ „ F “ — ßm ) = 0 . με at This

**equation**was worked out in ref . [ 8 ] . Page 5

... i → E and we have at E ¥ = [ − α • ▽ + ßm− Kß ( Σ • B − ia · E ) + eV ] ↓ = eik2 = exp ( iz√E2 — m2 ) ❤ → eiEzq , Inserting this into the Dirac

... i → E and we have at E ¥ = [ − α • ▽ + ßm− Kß ( Σ • B − ia · E ) + eV ] ↓ = eik2 = exp ( iz√E2 — m2 ) ❤ → eiEzq , Inserting this into the Dirac

**equation**and noting · i eiE EeiEz + eEz a Əz = a - ❤ we get Əz ( E → ∞ ) . Page 6

Let us consider this case in more detail . a From the

Let us consider this case in more detail . a From the

**equation**- i Əz :) ] + eV - Kẞ ( Σ1 · В1 - iα · E ) = 0 we can eliminate the ' trivial ' dependence on V by substituting ❤ = f - F exp ( -ie [ ' _ dz'V ( z ... Page 9

When = 0 the

When = 0 the

**equations**of motion of such a particle are the so - called Proca**equations**. If , however , # 0 some additional terms appear ( as in the case of the Dirac**equation**with anomalous magnetic moment ) .### What people are saying - Write a review

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