Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-body recombination in a single-component Fermi gas with $p$-wave
  interaction   We study the three-body recombination of identical fermionic atoms. Using a
zero-range model for the $p$-wave interaction, we show that the rate constant
of three-body recombination into weakly bound $p$-wave dimers can be written as
$\alpha_{\rm rec} \propto v^{5/2}R^{1/2} k_T^4 (1+ C k_T^2 l_{\rm d}^2)$ for
large and positive scattering volume $v$. Here $R$ is the $p$-wave effective
range, and $k_T^2$ gives the average thermal kinetic energy of the colliding
atoms. $l_{\rm d}$ is the size of the $p$-wave dimer. The leading term is
different from the usually stated $v^{8/3}$ scaling law, but is consistent with
an earlier two-channel calculation. We compute the constant $C$ by solving the
relevant three-body problem perturbatively when the parameter $\gamma\equiv
R/v^{1/3}$ is small. The $C k_T^2 l_{\rm d}^2$ term provides important
corrections for the temperature and interaction dependence of $\alpha_{\rm
rec}$, especially close to resonance when $k_T l_{\rm d}$ is relatively large.

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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
2
The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int