PPT Slide

Nucleon Knockout Reactions or Nucleon Removal - 2

ASSUME:

Core

RC

RA

target

n

b

1)

b min = R A + R C … to ensure core survival

straight line trajectory (i.e. eikonal approximation)

target carves a cylinder of radius RA out of the halo wave function

(removed part denoted dy0 ) (this is the black disk approximation)

the momentum content of dy0 in this cylinder corresponds

to the momentum of the surviving core

2)

3)

4)

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

dW

dkz

1

2p

=

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

dW

dkz

bmin

?

db

Then,

ds

dkz

longitudinal

momentum (p // )

distribution

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