<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The purpose of this paper is to present the Monte-Carlo calculations performed to design a special element called gamma blocker (GB), necessary to stop the gamma radiation in the Accelerator-to-Target (A2T) section of European Spallation Source (ESS) linac. Very high levels of gamma radiation emitted backward from the activated target through the beam pipe could effectively block any human intervention close to the beam transport system. The residual dose rate in the linac tunnel was calculated without and with different GBs as a function of time. The final GB material and dimensions are proposed.</p>
</abstract>

The purpose of this paper is to present the Monte-Carlo calculations performed to design a special element called gamma blocker (GB), necessary to stop the gamma radiation in the Accelerator-to-Target (A2T) section of European Spallation Source (ESS) linac. Very high levels of gamma radiation emitted backward from the activated target through the beam pipe could effectively block any human intervention close to the beam transport system. The residual dose rate in the linac tunnel was calculated without and with different GBs as a function of time. The final GB material and dimensions are proposed.


<div xmlns="http://www.w3.org/1999/xhtml">
<sec id="j_nuka-2021-0014_s_001"><div>Introduction</div>
<p>The construction of the European Spallation Source (ESS) in Lund, Sweden was begun in the summer of 2014 [<a ref-type="bibr" href="#j_nuka-2021-0014_ref_001">1</a>]. ESS source (without neutron instruments) consists of a linear accelerator that delivers a 2 GeV, 5 MW proton beam to a rotating tungsten target. The final high-energy beam transport (HEBT – shown in <a ref-type="fig" href="#j_nuka-2021-0014_fig_001">Fig. 1</a>) region is approx. 50 m long, to allow for possible upgrades, and the proton beam travels through it at the final energy [<a ref-type="bibr" href="#j_nuka-2021-0014_ref_002">2</a>]. The region is close to the target, which is activated during the irradiation by a high-energy, high-power beam. Although the losses of the beam in the HEBT region are almost negligible, the intensity of radiation from the activated target is high enough to limit any intervention in the HEBT region during the beam-off time. Such interventions are necessary for repairs, maintenance, or other actions. Therefore, an estimation of residual dose rates is an important task for operational radiation protection, e.g., for the work and dose planning related to interventions in the accelerator facility. The level of residual radiation intensity in the HEBT region depends on the distance from the tungsten target, on the time of irradiation by the proton beam, and on the time elapsed since the last irradiation (the so-called cooling time). Based on Monte-Carlo simulations using the FLUKA package [<a ref-type="bibr" href="#j_nuka-2021-0014_ref_003">3</a>], it has been observed that the main problem comes from gamma radiation that can penetrate the HEBT region via the beam pipe. Therefore, a special element to stop the gamma radiation must be designed and installed in the ESS – from here on this element will be called the gamma blocker (GB).</p>
<figure id="j_nuka-2021-0014_fig_001" position="float" fig-type="figure"><h2>Fig. 1</h2><figCaption><p>The ESS linac schema.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_001.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_001.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=790051017cde2f0b6a57d1a22d1c755c88ae78704200170a94b63e70a9668e66" class="mw-100"/></figure>
</sec>
<sec id="j_nuka-2021-0014_s_002"><div>Gamma blocker location</div>
<p>The GB is foreseen in the accelerator-to-target (A2T) region (see <a ref-type="fig" href="#j_nuka-2021-0014_fig_002">Fig. 2</a>), in the line of sight of a target wheel, upstream of the neutron shield wall (NSW) [<a ref-type="bibr" href="#j_nuka-2021-0014_ref_001">1</a>]. Its function is to absorb residual radiation from the activated target during the beam-off mode. During the normal work of the accelerator, GB must not be placed in the beam pipe.</p>
<figure id="j_nuka-2021-0014_fig_002" position="float" fig-type="figure"><h2>Fig. 2</h2><figCaption><p>Schema of the A2T section of the HEBT area.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_002.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_002.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=92de1b472861469f2a0d244bc0dde4583da3903d19706de95d6f0d48d2f604a7" class="mw-100"/></figure>
</sec>
<sec id="j_nuka-2021-0014_s_003"><div>Calculation of residual dose equivalent rates</div>
<p>The FLUKA Monte-Carlo simulation package [<a ref-type="bibr" href="#j_nuka-2021-0014_ref_003">3</a>] can provide estimates for residual dose rates for a given irradiation profile and specified cooling time. First calculations were performed to find out the dose equivalent rate (DOSE EQ) inside the A2T tunnel for the following cooling times: 0 (no cooling), 1 hour, 4 hours, 1 month. The source of radiation was located on the surface of the tungsten target. Its spectrum, shown in <a ref-type="fig" href="#j_nuka-2021-0014_fig_003">Fig. 3</a>, was obtained by simulation of 5-year continuous irradiation of the tungsten target by the proton beam with parameters specified in <a ref-type="table" href="#j_nuka-2021-0014_tab_001">Table 1</a>.</p>
<figure id="j_nuka-2021-0014_fig_003" position="float" fig-type="figure"><h2>Fig. 3</h2><figCaption><p>Implemented gamma radiation spectrum from the external target wheel surface – results of simulations in the FLUKA software.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_003.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_003.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=d649c3d6aa4c70f7966c1d68f52a4edc2990c98cb72ee8468140beece90e41ed" class="mw-100"/></figure>
<table-wrap id="j_nuka-2021-0014_tab_001" position="float"><label>Table 1</label><caption><p>Proton beam parameters used in the simulation</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="2">Beam properties</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Energy (GeV)</td>
<td align="right" valign="top">2.00</td>
</tr>
<tr>
<td align="left" valign="top">Power (MW)</td>
<td align="right" valign="top">5.00</td>
</tr>
<tr>
<td align="left" valign="top">Pulse current (mA)</td>
<td align="right" valign="top">62.50</td>
</tr>
<tr>
<td align="left" valign="top">Average current (mA)</td>
<td align="right" valign="top">2.50</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Implementation of the radiation source on the tungsten target surface is shown in <a ref-type="fig" href="#j_nuka-2021-0014_fig_004">Fig. 4</a>. During the simulations, the NSW was nominally 2 m thick, but its final thickness will be determined after detailed neutronic calculations.</p>
<figure id="j_nuka-2021-0014_fig_004" position="float" fig-type="figure"><h2>Fig. 4</h2><figCaption><p>(a) Schematic view of the target area. Isotropic gamma source was implemented on the external surface of the target wheel (red line). (b) Dose rates obtained after the implementation of the gamma source. The origin of the z-axis starts at the proton source of the linac.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_004.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_004.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=d9b805488475c9ac5d315809ee0d8f4cfa50fbedd067b7b5c355cb2ce953f0eb" class="mw-100"/></figure>
</sec>
<sec id="j_nuka-2021-0014_s_004"><div>Results</div>
<p><a ref-type="fig" href="#j_nuka-2021-0014_fig_005">Figure 5</a> shows the calculated residual dose rates after five years of continuous exposure, inside the accelerator tunnel, in the last part of the A2T section.</p>
<figure id="j_nuka-2021-0014_fig_005" position="float" fig-type="figure"><h2>Fig. 5</h2><figCaption><p>Residual dose rates after five years of continuous irradiation, and no cooling time. The origin of the z-axis starts at the proton source of the linac.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_005.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_005.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=7b3dfd8e7e81cdd9ac03580e2ff0b11606b3b880301126a310e18b9f7fcdaed2" class="mw-100"/></figure>
<p><a ref-type="fig" href="#j_nuka-2021-0014_fig_006">Figure 6</a> shows residual dose rates presented transversally to the accelerator tunnel, at <italic>z</italic> = 579.5 m, for various cooling times [<a ref-type="bibr" href="#j_nuka-2021-0014_ref_004">4</a>]. The requirement for GB design is to limit the dose rate at this position to below 100 μSv/h after five years of continuous irradiation and no cooling time [<a ref-type="bibr" href="#j_nuka-2021-0014_ref_005">5</a>]. It can be seen that the radiation dose rate is the sum of two components: (1) central radiation peak related to gammas transmitted through the beam-pipe, directly from the activated target wheel; (2) scattered gamma radiation outside the beam pipe.</p>
<figure id="j_nuka-2021-0014_fig_006" position="float" fig-type="figure"><h2>Fig. 6</h2><figCaption><p>Gamma radiation dose rate vs. distance from the beam pipe. Projection on X-axis (transverse to the beam axis) at <italic>z</italic> = 579.5 m, for different cooldown times.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_006.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_006.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=4ed0b1d2f9db4bf7b7664fa9115c25fbacdbc526559e577485255faa4104a5bd" class="mw-100"/></figure>
<p>Installation of the GB element inside the beam pipe should remove the very intensive central peak. Therefore, in the next step, the calculations with the installed GB element were performed to select proper GB thickness. <a ref-type="fig" href="#j_nuka-2021-0014_fig_007">Figure 7</a> presents residual dose rates in the last part of the A2T section, after five years of continuous irradiation and no cooling time, for different GB thicknesses. All simulations were prepared for GBs made of steel due to the ESS material requirements. GB diameter is equal to 200 mm, while the beam pipe radius is equal to 80 mm.</p>
<figure id="j_nuka-2021-0014_fig_007" position="float" fig-type="figure"><h2>Fig. 7</h2><figCaption><p>Dose rate after five years of exposure and no cooling time, for different GB thicknesses.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_007.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_007.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=8aad0f198fc4932ce39c00c084679d27f1a2fcccb76a8e6b3b2327c4dea5082e" class="mw-100"/></figure>
<p>The level of the dose rate was calculated in two localizations of the A2T section, i.e., on the GB contact at <italic>z</italic> = 579.5 m and at <italic>z</italic> = 565 m, where sensitive apparatus is installed. Results in a transversal plane are presented in <a ref-type="fig" href="#j_nuka-2021-0014_fig_008">Fig. 8</a> (for <italic>z</italic> = 579.5 m) and <a ref-type="fig" href="#j_nuka-2021-0014_fig_009">Fig. 9</a> (for <italic>z</italic> = 565 m).</p>
<figure id="j_nuka-2021-0014_fig_008" position="float" fig-type="figure"><h2>Fig. 8</h2><figCaption><p>Residual dose rate vs. distance from the beam pipe. Projection on X-axis at <italic>z</italic> = 579.5 m after five years of exposure and no cooling time, for different GB thicknesses.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_008.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_008.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=e3aaf190a2b2c4ddad8b31275023164f812a0f9b29a5d21eb1883650c2b1ddd1" class="mw-100"/></figure>
<figure id="j_nuka-2021-0014_fig_009" position="float" fig-type="figure"><h2>Fig. 9</h2><figCaption><p>Residual dose rate vs. distance from the beam pipe. Projection in X-axis at <italic>z</italic> = 565 m, after five years of exposure and no cooling time for different GB thicknesses.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_009.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_009.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=70b59684f502d0fc8e313ee4f2e1821c0ffed8621b9655f229caddcc22d76b3c" class="mw-100"/></figure>
<p>The GB removes the central intense peak inside the beam pipe. However, it also increases the radiation levels at larger transverse distances in the GB neighbourhood due to radiation scattering.</p>
<p>At <italic>z</italic> = 565 m, the GB reduces the radiation level both inside and outside the beam pipe. To find the optimal thickness of the GB, the dose rate inside the beam pipe behind the GB, i.e., at <italic>z</italic> = 579.5 m was calculated. <a ref-type="table" href="#j_nuka-2021-0014_tab_002">Table 2</a> and <a ref-type="fig" href="#j_nuka-2021-0014_fig_010">Fig. 10</a> present these results as a function of the GB thickness, for different cooling times. Beam parameters for presented results are taken from <a ref-type="table" href="#j_nuka-2021-0014_tab_001">Table 1</a>.</p>
<table-wrap id="j_nuka-2021-0014_tab_002" position="float"><label>Table 2</label><caption><p>Dose rates inside the beam pipe, after five years of exposure and various cooling times, for different GB thicknesses</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="middle" rowspan="3">GB thickness (mm)</th>
<th align="center" valign="middle" colspan="4">Dose rate after five years of exposure (μSv/h)</th>
</tr>
<tr>
<th align="center" valign="middle" colspan="4"><hr/></th>
</tr>
<tr>
<th align="center" valign="middle">No cooling</th>
<th align="center" valign="middle">1 hour cooling</th>
<th align="center" valign="middle">4 hours cooling</th>
<th align="center" valign="middle">1 month cooling</th>
</tr>
</thead>
<tbody>
<tr>
<td align="right" valign="top">0</td>
<td align="center" valign="top">3800 ± 152</td>
<td align="center" valign="top">2060 ± 103</td>
<td align="center" valign="top">1700 ± 68</td>
<td align="center" valign="top">230 ± 9.2</td>
</tr>
<tr>
<td align="right" valign="top">50</td>
<td align="center" valign="top">850 ± 32</td>
<td align="center" valign="top">460 ± 14.8</td>
<td align="center" valign="top">370 ± 11</td>
<td align="center" valign="top">58 ± 2.8</td>
</tr>
<tr>
<td align="right" valign="top">100</td>
<td align="center" valign="top">180 ± 7.2</td>
<td align="center" valign="top">92 ± 3.4</td>
<td align="center" valign="top">72 ± 2.8</td>
<td align="center" valign="top">9 ± 0.36</td>
</tr>
<tr>
<td align="right" valign="top">150</td>
<td align="center" valign="top">40 ± 1.6</td>
<td align="center" valign="top">21 ± 0.84</td>
<td align="center" valign="top">18 ± 0.72</td>
<td align="center" valign="top">2.2 ± 0.09</td>
</tr>
<tr>
<td align="right" valign="top">200</td>
<td align="center" valign="top">14 ± 0.5</td>
<td align="center" valign="top">6 ± 0.24</td>
<td align="center" valign="top">5 ± 0.2</td>
<td align="center" valign="top">0.8 ± 0.03</td>
</tr>
<tr>
<td align="right" valign="top">400</td>
<td align="center" valign="top">1.150 ± 0.046</td>
<td align="center" valign="top">0.850 ± 0.034</td>
<td align="center" valign="top">0.54 ± 0.02</td>
<td align="center" valign="top">0.200 ± 0.008</td>
</tr>
</tbody>
</table>
</table-wrap>
<figure id="j_nuka-2021-0014_fig_010" position="float" fig-type="figure"><h2>Fig. 10</h2><figCaption><p>Residual dose rate inside the beam pipe as a function of GB thickness, after five years of exposure, for various cooling times.</p></figCaption><img xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_nuka-2021-0014_fig_010.jpg" src="https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647260f1215d2f6c89dc6345/j_nuka-2021-0014_fig_010.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20240725T073427Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=18000&amp;X-Amz-Credential=AKIA6AP2G7AKP25APDM2%2F20240725%2Feu-central-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=7584208b21dab67269f24121c13a47b6fc222eb121f69d8e0f294e5a7fb99da3" class="mw-100"/></figure>
<p>To fulfill the required dose rate limit of 100 μSv/h, a 200 mm thick GB has been proposed for further engineering design, to include the additional safety factor equal 2. Such thickness should allow for access to the zone immediately after switching off the proton beam and moving GB to the “blocking” position.</p>
</sec>
<sec id="j_nuka-2021-0014_s_005"><div>Conclusion</div>
<p>To allow the intervention in the A2T section of the ESS accelerator, GB is needed to minimize gamma radiation emitted during the beam-off time from the activated tungsten target. This element will be automatically placed inside the beam pipe for the duration of the beam-off time. Before engineering design, Monte-Carlo simulations had to be performed, to select the optimum GB thickness. The residual dose rates in the accelerator tunnel were calculated using the FLUKA package and presented in the article for different GB thicknesses. Taking into account a safety factor equal to 2, a 200 mm thick, 200 mm diameter steel GB was proposed. Such dimensions will limit the dose rate in the accelerator tunnel to a maximum of 100 μSv/h, which is the allowed dose rate limit.</p>
</sec>
</div>

Gamma radiation calculations and gamma blocker design for the high-energy beam transport region of the European Spallation Source

National Centre for Nuclear Research, Department of Nuclear Techniques & Equipment, Particle Acceleration Physics & Technology Division

Nukleonika

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The purpose of this paper is to present the Monte-Carlo calculations performed to design a special element called gamma blocker (GB), necessary to stop the...

Gamma radiation calculations and gamma blocker design for the high-energy beam transport region of the European Spallation Source

Article Category: Original Paper

Online veröffentlicht: 17. Sept. 2021

Seitenbereich: 99 - 102

Eingereicht: 08. Mai 2020

Akzeptiert: 15. März 2021

DOI: https://doi.org/10.2478/nuka-2021-0014

Schlüsselwörter
ESS, Monte Carlo, Gamma blocker, Gamma radiation

© 2021 Karol S. Szymczyk, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Gamma radiation calculations and gamma blocker design for the high-energy beam transport region of the European Spallation Source

Article Category: Original Paper

Online veröffentlicht: 17. Sept. 2021

Seitenbereich: 99 - 102

Eingereicht: 08. Mai 2020

Akzeptiert: 15. März 2021

DOI: https://doi.org/10.2478/nuka-2021-0014

SchlüsselwörterESS, Monte Carlo, Gamma blocker, Gamma radiation

© 2021 Karol S. Szymczyk, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Schlüsselwörter
ESS, Monte Carlo, Gamma blocker, Gamma radiation