<p>We investigate three-body recombination of helium and hydrogen atoms at cold collision energies, adopting the hyperspherical adiabatic formulation. By taking into account non-rotating (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">$J=0$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>J</mi> <mo>=</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>) and rotating (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">$J>0$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>J</mi> <mo>></mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>) states, we calculate the rates for the recombination processes <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$^4$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>4</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>He+<InlineEquation ID="IEq4"> <EquationSource Format="TEX">$^4$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>4</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>He+X<InlineEquation ID="IEq5"> <EquationSource Format="TEX">$\rightarrow ^4$</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mo stretchy="false">→</mo> <mn>4</mn> </msup> </math></EquationSource> </InlineEquation>He<InlineEquation ID="IEq6"> <EquationSource Format="TEX">$_2$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>2</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>+X (X=<InlineEquation ID="IEq7"> <EquationSource Format="TEX">$^1$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>1</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>H, <InlineEquation ID="IEq8"> <EquationSource Format="TEX">$^2$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>2</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>H, <InlineEquation ID="IEq9"> <EquationSource Format="TEX">$^3$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>3</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>H and <InlineEquation ID="IEq10"> <EquationSource Format="TEX">$^3$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>3</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>He), up to 0.1 Kelvin. In addition, we compute the collision induced dissociation rates for the same three-body systems.</p>

Three-Body Recombination of Cold Helium and Hydrogen Atoms

期刊论文
发表日期：

2025年9月19日

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Hiroya Suno

摘要

We investigate three-body recombination of helium and hydrogen atoms at cold collision energies, adopting the hyperspherical adiabatic formulation. By taking into account non-rotating ( $J=0$ $J = 0$ ) and rotating ( $J>0$ $J > 0$ ) states, we calculate the rates for the recombination processes $^4$ $^{4}$ He+ $^4$ $^{4}$ He+X $\rightarrow ^4$ $\to^{4}$ He $_2$ $_{2}$ +X (X= $^1$ $^{1}$ H, $^2$ $^{2}$ H, $^3$ $^{3}$ H and $^3$ $^{3}$ He), up to 0.1 Kelvin. In addition, we compute the collision induced dissociation rates for the same three-body systems.