Investigation of the Energy Correlations of Spallation Neutrons by Monte Carlo Simulations

<table>One-particle energy distributions <svg height="19.362499" id="M100" style="vertical-align:-5.73163pt" version="1.1" viewbox="0 0 40.012501 19.362499" width="40.012501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><path d="M619 670q0 -13 -9 -26t-18 -19q-13 -10 -25 2q-36 38 -66 38q-31 0 -54.5 -50t-45.5 -185h120l-20 -31l-107 -12q-23 -138 -57 -293q-27 -122 -55 -184.5t-75 -109.5q-60 -61 -114 -61q-25 0 -47.5 15t-22.5 31q0 17 31 44q11 8 20 -1q10 -11 31 -19t35 -8q26 0 47 19
q34 34 71 253l54 315h-90l-3 12l31 30h70q28 138 90 204q35 37 75 57.5t70 20.5q26 0 45 -14t19 -28z" id="x1D453"></path></g>
<g transform="matrix(.012,-0,0,-.012,10.975,16.25)"><path d="M474 429q-19 -69 -47 -222l-65 -347q-8 -49 0 -60t49 -16l26 -3l-4 -26l-246 -12l4 25l17 3q37 6 50 20.5t23 60.5l67 321h-2q-65 -79 -150 -138q-69 -47 -104 -47q-28 0 -48.5 32t-20.5 81q0 78 35 148t90 117q67 57 161 77q23 5 58 5q43 0 90 -15zM387 387
q-30 16 -75 16q-58 0 -92 -27q-49 -39 -78.5 -112t-29.5 -136q0 -34 8.5 -52.5t21.5 -18.5q40 0 109.5 63.5t103.5 115.5q16 53 32 151z" id="x1D45E"></path></g>
<g transform="matrix(.017,-0,0,-.017,17.438,12.162)"><path d="M300 -147l-18 -23q-106 71 -159 185.5t-53 254.5v1q0 139 53 252.5t159 186.5l18 -24q-74 -62 -115.5 -173.5t-41.5 -242.5q0 -130 41.5 -242.5t115.5 -174.5z" id="x28"></path></g><g transform="matrix(.017,-0,0,-.017,23.319,12.162)"><path d="M609 650l-19 -162l-30 -2q2 69 -14 94q-9 18 -28.5 26t-74.5 8h-88q-30 0 -37 -6.5t-12 -36.5l-41 -212h103q48 0 69 5.5t32 19t26 50.5h29l-40 -198h-30q2 58 -11.5 70.5t-85.5 12.5h-99l-30 -167q-17 -87 3 -101q18 -15 111 -15q59 0 89 7t54 27q8 7 15.5 16t16 21.5
l14 20.5t15 23.5t13.5 21.5l29 -10q-52 -129 -71 -163h-500l6 28q66 4 83 17.5t28 73.5l77 409q11 61 -0.5 75.5t-78.5 18.5l10 28h467z" id="x1D438"></path></g><g transform="matrix(.017,-0,0,-.017,34.062,12.162)"><path d="M275 270q0 -296 -211 -440l-19 23q75 62 116.5 174t41.5 243t-42 243t-116 173l19 24q211 -144 211 -440z" id="x29"></path></g>
</svg> for different number of produced neutrons <svg height="12.1125" id="M101" style="vertical-align:-3.50804pt" version="1.1" viewbox="0 0 8.4750004 12.1125" width="8.4750004" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><use xlink:href="#x1D45E"></use></g>
</svg> and average spectrum <svg height="16.924999" id="M102" style="vertical-align:-3.7947pt" version="1.1" viewbox="0 0 32.525002 16.924999" width="32.525002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><path d="M565 434q-29 -30 -107.5 -131t-125.5 -168q22 -126 55 -265q8 -35 12.5 -45.5t11.5 -10.5q26 0 76 59l23 -23q-77 -111 -134 -111q-42 0 -63 96l-43 222q-148 -211 -219 -335h-10q-30 45 9 103l209 291q-27 155 -42 214q-7 27 -11.5 35.5t-12.5 8.5q-19 0 -62 -57l-21 21
q73 110 126 110q18 0 31.5 -22.5t19.5 -52.5l35 -184l160 234l74 25z" id="x1D712"></path></g><g transform="matrix(.017,-0,0,-.017,9.956,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,15.837,12.138)"><use xlink:href="#x1D438"></use></g><g transform="matrix(.017,-0,0,-.017,26.581,12.138)"><use xlink:href="#x29"></use></g>
</svg> calculated for the 0.2 cm thick target.</table>

Science and Technology of Nuclear Installations

fig6

Figure 6

Figure 6: Investigation of the Energy Correlations of Spallation Neutrons by Monte Carlo Simulations 