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Composition of Nuclear Matter with Light Clusters and Bose–Einstein Condensation of \(\alpha \) Particles

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Abstract

The Bose–Einstein condensation of \(\alpha \) particles in the multicomponent environment of dilute, warm nuclear matter is studied. We consider the cases of matter composed of light clusters with mass numbers \(A\le 4\) and matter that in addition to these clusters contains \({}^{56}{\hbox {Fe}}\) nuclei. We apply the quasiparticle gas model which treats clusters as bound states with infinite lifetime and binding energies independent of temperature and density. We show that the \(\alpha \) particles can form a condensate at low temperature \(T\le 2\) MeV in such matter in the first case. When the \({}^{56}{\hbox {Fe}}\) nucleus is added to the composition, the cluster abundances are strongly modified at low temperatures, with an important implication that the \(\alpha \) condensation at these temperatures is suppressed.

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Acknowledgements

We thank John Clark, Eckhard Krotscheck, Peter Schuck, Horst Stöcker and Stefan Typel for useful discussions. X.-H. W. and S.-B. W. acknowledge the hospitality of Goethe University, Frankfurt am Main, where this project was carried out and Nankai University for the support through the International Exchange Foundation. A. S. is supported by the Deutsche Forschungsgemeinschaft (Grant No. SE 1836/3-2) and by the NewCompStar COST Action MP1304.

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Authors and Affiliations

  1. School of Physics, Peking University, Beijing, 100871, China

    Xin-Hui Wu & Si-Bo Wang

  2. School of Physics, Nankai University, Tianjin, 300071, China

    Xin-Hui Wu & Si-Bo Wang

  3. Institute for Theoretical Physics, Goethe-University, 60438, Frankfurt-Main, Germany

    Xin-Hui Wu, Si-Bo Wang & Armen Sedrakian

  4. Frankfurt Institute for Advanced Studies, 60438, Frankfurt-Main, Germany

    Armen Sedrakian

  5. Institut für Physik, Universität Rostock, 18059, Rostock, Germany

    Gerd Röpke

  6. National Research Nuclear University (MEPhI), Moscow, Russia, 115409

    Gerd Röpke

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  1. Xin-Hui Wu
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  2. Si-Bo Wang
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  4. Gerd Röpke
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Correspondence to Armen Sedrakian.

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Wu, XH., Wang, SB., Sedrakian, A. et al. Composition of Nuclear Matter with Light Clusters and Bose–Einstein Condensation of \(\alpha \) Particles. J Low Temp Phys 189, 133–146 (2017). https://doi.org/10.1007/s10909-017-1795-x

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  • DOI: https://doi.org/10.1007/s10909-017-1795-x

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