## 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 : ) p s ; 0 ( 1-7 ( b - s ; ) j j = 1 1- exp ( ix . ( 6 ) ) = s dos ... d's ÎI ( 0 ) { 1- ÎI ( > ( - . >> . 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 accomplished by using the

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

**wave functions**of the relative motion , 6 ( r ) . ha For example , the elastic scattering amplitude is ik 9 ( A ) = M 21 S ... 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 Vo = II ; $ ; ( r ; ) we can stick to calculating ... This can be done explicitly in the case of oscillator potential**wave functions**( this is partly the reason why they ... Page 26

The ground state deuteron

The ground state deuteron

**wave function**is : Om ( r ) = ( 41 ) -1 / 27-1 [ u ( r ) + 8-1 / 2 S12W ( r ) ] x1 , m ( 3.10 ) where u ( r ) and w ( r ) are the radial S and D functions and 1 S12 = [ 3 ( 01 • r ) ( 02 • r ) - 01.02 ] .### What people are saying - Write a review

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