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JAEA-Conf 2011-002 - 日本原子力研究開発機構

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<strong>JAEA</strong>-<strong>Conf</strong> <strong>2011</strong>-<strong>002</strong><br />

reaction 6 Li + t 8 Li*[0.981] + p – 0.18MeV ; 8 Li* 8 Li [gr. st.] + γ which proceeds through the<br />

excited nucleus 8 Li* emitting 0.981-MeV γ-quanta in its decay to the ground state.<br />

As is shown in , the cross section has very<br />

strong energy dependence at sub-MeV energy range.<br />

This process is forbidden below the threshold at 181<br />

keV, essentially suppressed at thermal energies, and<br />

thus it is induced in plasma predominantly by fast<br />

nuclei.<br />

One more important feature is that the excited<br />

state of 8 Li* has a short life time of 12fs, so one can<br />

consider that 8 Li* emits γ-rays before slowing-down.<br />

Therefore, the broadening of the 0.981-MeV γ- line<br />

correlates strongly with the 8 decay to the ground state.<br />

Li* emission spectrum<br />

Fig. 1. The cross section of<br />

which in turn might be solely governed by energetic<br />

triton populations.<br />

Experimental data are available at center-of-mass energies above 2 MeV [8] only. So, in Ref. [9] the<br />

cross sections below 2 MeV were calculated within a realistic nuclear model.<br />

6 Li(t,p1) 8 Li * as a<br />

function of energy in the CM frame.<br />

<br />

Energetic particle populations in the plasma are described by the Fokker-Planck equation with an<br />

appropriate source term. We solve the Fokker-Planck equation for the populations of fusion-born<br />

α-particles, beam-injected deuterons, and also for α knock-on, D-beam knock-on, DD burn-up tritons.<br />

show the energetic triton populations calculated under the conditions typical of ITER. For<br />

completeness, the Maxwellian thermal triton population ftht is also shown. We can see, the α knock-on<br />

tritons ritons populate up to 3- to 4-MeV energy, and is<br />

dominant ominant throughout the suprathermal energy range.<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

Fig. 3. Distribution of knock-on tritons, f<br />

Fig. 2. Energy distribution functions of knock-on, D-beam<br />

akt, in the case<br />

of T = 20 keV (dotted line), and slope distribution<br />

knock-on and DD burn-up tritons fakt, fbkt and fDDt. <br />

function, fslp, with Teff = 593 keV (solid line).<br />

The distribution function of α knock-on tritons fakt can be well fitted to a slope distribution<br />

function defined by<br />

neff<br />

<br />

<br />

Et<br />

EC<br />

f <br />

slp E exp , (1)<br />

T <br />

eff <br />

Teff<br />

<br />

where Teff and neff are the effective temperature and concentrations of the α knock-on tritons, respectively,<br />

and EC is a critical energy above which fakt > ftht . Although neff is not the ‘real’ density of the α knock-on<br />

tritons, it conveniently indicates the amplitude of fakt. For example, fakt in Fig. 2 agrees the amplitude of

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