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NeuLAND - FAIR

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exemplarily, the strength of 5% TRK sum rule is represented by a Gaussian distribution<br />

with Em = 8 MeV and a width of σ = 1 MeV. The Coulomb cross section distribution is<br />

calculated for 136 Sn projectiles impinging on a Pb-target with 1000 AMeV. According to<br />

the energy-differential Coulomb cross section distribution, events were simulated within<br />

a statistical-model approach, detailing the decay channels (1 to 4 neutrons), the neutron<br />

and fragment momenta and the γ-transitions below the particle thresholds on an eventby-event<br />

basis. Figure 4.18 presents the total excitation-energy-distribution input to the<br />

<strong>NeuLAND</strong> simulation, together with its one- to four-neutron contributions.<br />

events<br />

15000<br />

10000<br />

5000<br />

1 n<br />

2 n<br />

3 n<br />

4 n<br />

0<br />

0 10 20 30<br />

E* (MeV)<br />

Figure 4.18.: The input excitation-energy distribution is shown for a combination of PDR<br />

and GDR in 136 Sn (Coulomb excitation on a Pb target at 1000 AMeV). The<br />

overall distribution is displayed (black line), together with the composition<br />

into the 1 neutron (red), 2 neutron (cyan), 3 neutron (blue), and 4 neutron<br />

channels (magenta). The distribution is calculated for excitation energies<br />

from the one-neutron threshold up to 20 MeV.<br />

Approximately 7×10 5 events were collected into the input for the R 3 BRoot simulation of<br />

the <strong>NeuLAND</strong> response. <strong>NeuLAND</strong> is located at a distance of 23.5 m to the target in this<br />

simulation. Neutrons were reconstructed from the <strong>NeuLAND</strong> tracking algorithm output.<br />

Together with the momentum of the fragment and the γ-transitions, the excitation<br />

energy was reconstructed using the invariant-mass method. Since our aim is to study<br />

the performance of the response of <strong>NeuLAND</strong>, γ-transitions and the heavy fragment<br />

were treated as ideal.<br />

Figure 4.19 displays the comparison of the excitation-energy-distribution input to the<br />

response of <strong>NeuLAND</strong> from the R 3 BRoot simulation. For the reconstruction, neutron<br />

multiplicities of 1 to 4 were taken into account. The mass of the projectile fragment<br />

is used as a cross check for the detection of the each neutron channel. Thus, only<br />

channels with the correctly identified neutron multiplicities (diagonal elements of the<br />

60

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