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JAEA-Conf 2011-002 - 日本原子力研究開発機構

JAEA-Conf 2011-002 - 日本原子力研究開発機構

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Using the approximated distribution, Eq. (1), the 0.981-MeV γ-ray yield can be represented as a<br />

function of effective temperature Teff and concentration neff of knock-on tritons:<br />

2 nLi<br />

neff<br />

Et<br />

E <br />

C<br />

Y<br />

E<br />

<br />

E<br />

t exp <br />

<br />

<br />

E dEt<br />

mt<br />

T <br />

C <br />

eff<br />

T <br />

eff <br />

2 ITeff<br />

<br />

nLi<br />

neff<br />

m T<br />

<br />

<br />

<br />

(2)<br />

t<br />

The γ-ray emission spectrum can be well fitted to a Gaussian distribution:<br />

dY<br />

dE<br />

<br />

<br />

eff<br />

EE <br />

<br />

exp <br />

<br />

<br />

Here E0 = 0.981 MeV, and represents the broadening of the fitting curve and has dimension of square<br />

energy. The Gaussian distribution with = 96 keV 2 reproduces properly dY /dE in Fig. 6.<br />

It was found that there is the pronounced<br />

correlation between and Teff shown in .<br />

With increasing Teff, the knock- on tritons<br />

reach high energies, resulting in the - ray<br />

emission spectrum with the wider broadening.<br />

Once the parameter is assessed from the<br />

experimental data on dY /dE , then Teff could<br />

be determined by use of the prove curve in Fig. 7.<br />

Equation (2) indicates that once Teff is<br />

determined with a fine accuracy, then we can<br />

assess neff from the experimental γ- ray yield Y .<br />

Fig. 7. Correlation between slope factor of the -ray<br />

emission spectrum and effective temperature Teff of<br />

knock-on tritons.<br />

e <br />

One can also obtain information on the confinement property of fusion-born -particles in burning<br />

DT plasmas. The theoretical curve in Fig. 4, Teff and T derived experimentally should be used for this<br />

purpose. If the experimental plot of (Teff,T) is placed onto the theoretical curve in Fig. 4, then one can<br />

reasonably consider the confinement of the -particles to be classical, i.e., the -particles exhibit the<br />

classical slowing-down behavior described by the Fokker-Planck equation. If not, the -particles<br />

anomalously escape from the plasma core and accordingly their confinement property is deteriorated. In<br />

the latter case, because of losses of the -particles at energy below the average birth energy of E0 = 3.52<br />

MeV, the relative fraction of the -particles with high energy around E0 become larger, resulting in the<br />

effective temperature Teff of the knock-on tritons becoming higher. Accordingly, the experimental<br />

(Teff,T) plot would be placed above the theoretical curve.<br />

<br />

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

We showed that the 0.981-MeV γ-rays emitted in the 6 Li (t, p1) 8 Li * reaction have an important<br />

application for diagnostics of the knock-on tritons and -particles in burning plasmas. If these γ-rays<br />

are detected, we can obtain information on key parameters of knock-on triton population (Teff , neff )<br />

0<br />

<br />

2<br />

<br />

<br />

<br />

(3)

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