PPT Slide

Nucleon Knockout Reactions or Nucleon Removal - 3

Core

target

The external wave function

of the removed nucleon is:

y0 (r) = B k 3/2 h? (ikr) Y? m ( q,f )

first Hankel

function

k = ?[2mSn] /?

i.e.

determined

by separation

energy, only

Momentum content: take the analytical Fourier Transform of dy0 as a function of b, then integrate b

dkz

dy0 * (x,y,z’) dy0 (x,y,z) e ikz (z-z’) dx dy dz dz'

dkz

bmin

Then,

dkz

longitudinal

momentum (p // )

distribution

NOTES:

Suppose the removed nucleon has ? = 2 …

the contributions to dy0 from different m-substates are different

… this affects the shape of the p // distribution

also, in general, for higher ? the width of p // will be larger,

since the magnitude of the momentum p ? ? / R is larger

… i.e. the width of p// is a measure of l of the removed nucleon