## Interactions of High Energy Particles with Nuclei |

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Page 20

We assume ( for the sake of simplicity ) the independent particle model

We assume ( for the sake of simplicity ) the independent particle model

**wave function**of the nucleus : 1— exp ( îx . ( b ) ) = ƒ d . ...... .d23⁄4 , A Îμœ ‚ ) { 1– ÎÌ ( 1 − x ( b − s ) } , ( 8 ; ) ர் j = 1 Y p ( s ; ) j = 1 A d2 exp ... Page 22

How important are the details of the target nucleus

How important are the details of the target nucleus

**wave function**? Not very important . The most important are general characteristics : density distributions ( hence possible deformations ) but not internal correlations . Page 23

Take , for example , a deuteron : here taking into account the c.m. motion is trivially accom- plished by using the

Take , for example , a deuteron : here taking into account the c.m. motion is trivially accom- plished by using the

**wave functions**of the relative motion , ø ( r ) . + R For example , the elastic scattering amplitude is M ( A ) = ik 2π ... Page 24

Hence if we can factor out the c.m.

Hence if we can factor out the c.m.

**wave function**from the product = II ; ; ( r ; ) we can stick to calculating M with Yo ... This can be done explicitly in the case of oscillator potential**wave functions**( this is partly the reason why ... Page 26

The ground state deuteron

The ground state deuteron

**wave function**is : Pm ( r ) = ( 4π ) -1 / 2-1 [ u ( r ) + 8-1 / 2 S12W ( r ) Jx1.m where u ( r ) and w ( r ) are the radial S and D functions and Sız = [ 3 ( ơi • r ) ( • r ) −ơi • ] .### What people are saying - Write a review

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