We measured the high-momentum transfer
Q
2=4.8 and 6.2 (GeV/c)
2 quasi-elastic
12
C(p,2p) reaction at
θ
cm≃90° for 6 and 7.5 GeV/c incident protons. The momentum components of both outgoing protons ...and the missing energy and momentum of the proton in the nucleus were measured. We verified the validity of the quasi-elastic picture for ground state momenta up to about 0.5 GeV/c. Transverse and longitudinal momentum distributions of the target proton were measured. They have the same shape with a large momentum tail which is not consistent with independent particle models. We observed that the transverse distribution gets wider as the longitudinal component increases in the beam direction.
The reaction
12C(
p,2
p +
n) was measured for momentum transfers of 4.8 and 6.2 (GeV/c)
2 at beam momenta of 5.9 and 7.5 GeV/c. We measured the quasi-elastic reaction (
p,2
p) at θ
cm ⋍ 90°, in a ...kinematically complete measurement. The neutron momentum was measured in triple coincidence with the two emerging high momentum protons. We present the correlation between the momenta of the struck target proton and the neutron. The events are associated with the high momentum components of the nuclear wave function. We present sparse data which, combined with a quasi elastic description of the (
p,2
p) reaction and kinematical arguments, point to a novel way for isolating two-nucleon short range correlations.
Phys. Rev. A 65 (2002) 062103 We examine the long-term time-dependence of Gaussian wave packets in a
circular infinite well (billiard) system and find that there are approximate
revivals. For the ...special case of purely $m=0$ states (central wave packets
with no momentum) the revival time is $T_{rev}^{(m=0)} = 8\mu R^2/\hbar \pi$,
where $\mu$ is the mass of the particle, and the revivals are almost exact. For
all other wave packets, we find that $T_{rev}^{(m \neq 0)} = (\pi^2/2)
T_{rev}^{(m=0)} \approx 5T_{rev}^{(m=0)}$ and the nature of the revivals
becomes increasingly approximate as the average angular momentum or number of
$m \neq 0$ states is/are increased. The dependence of the revival structure on
the initial position, energy, and angular momentum of the wave packet and the
connection to the energy spectrum is discussed in detail. The results are also
compared to two other highly symmetrical 2D infinite well geometries with exact
revivals, namely the square and equilateral triangle billiards. We also show
explicitly how the classical periodicity for closed orbits in a circular
billiard arises from the energy eigenvalue spectrum, using a WKB analysis.
We examine the long-term time-dependence of Gaussian wave packets in a circular infinite well (billiard) system and find that there are approximate revivals. For the special case of purely \(m=0\) ...states (central wave packets with no momentum) the revival time is \(T_{rev}^{(m=0)} = 8\mu R^2/\hbar \pi\), where \(\mu\) is the mass of the particle, and the revivals are almost exact. For all other wave packets, we find that \(T_{rev}^{(m \neq 0)} = (\pi^2/2) T_{rev}^{(m=0)} \approx 5T_{rev}^{(m=0)}\) and the nature of the revivals becomes increasingly approximate as the average angular momentum or number of \(m \neq 0\) states is/are increased. The dependence of the revival structure on the initial position, energy, and angular momentum of the wave packet and the connection to the energy spectrum is discussed in detail. The results are also compared to two other highly symmetrical 2D infinite well geometries with exact revivals, namely the square and equilateral triangle billiards. We also show explicitly how the classical periodicity for closed orbits in a circular billiard arises from the energy eigenvalue spectrum, using a WKB analysis.
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