PPT Slide

K.E.

Fermi

momtm

Nucleon Knockout Reactions or Nucleon Removal

core

halo

Originally: P. Gregers Hansen PRL 77(1996)1016

OR tail of any normal valence single particle

wave function, extending beyond core

tail

u(r)

V(r)

Note that the halo nucleon has a

momentum in c.m. of mean field

? the core has equal and opposite Fermi momentum in the projectile frame

AIM: measure p // for the surviving core and deduce s.p. orbit of nucleon

SUDDEN APPROXIMATION: the halo nucleon is “surgically removed”

by a nuclear interaction with the target, leaving the core with Fermi momtm

ASSUME:

Core

target

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