Interactions of High Energy Particles with Nuclei |
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Page 20
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 ...
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 wave function ? Not very important . The most important are general characteristics : density distributions ( hence possible deformations ) but not internal correlations .
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 wave functions of the relative motion , ø ( r ) . + R For example , the elastic scattering amplitude is M ( A ) = ik 2π ...
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. 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 ...
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 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 • ] .
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 • ] .
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Bibliographic information
| Title | Interactions of High Energy Particles with Nuclei Volume 139 of NBS monograph |
| Author | Wiesław Czyż |
| Publisher | National Bureau of Standards, 1975 |
| Original from | the University of Michigan |
| Digitized | 21 Nov 2007 |
| Length | 69 pages |
| Export Citation | BiBTeX EndNote RefMan |