Production of $$^4\mathrm{Li}$$ and $$p\!-\!^3\mathrm{He}$$ correlation function in relativistic heavy-ion collisions
Autor: | Stanisław Mrówczyński, Sylwia Bazak |
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Rok vydání: | 2020 |
Předmět: |
Physics
Coalescence (physics) Nuclear and High Energy Physics Nuclear Theory Spin states Scattering Hadron FOS: Physical sciences Alpha particle Nuclear Theory (nucl-th) High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Nuclear fusion Heavy ion Nuclear Experiment (nucl-ex) Atomic physics Centrality Nuclear Experiment |
Zdroj: | The European Physical Journal A. 56 |
ISSN: | 1434-601X 1434-6001 |
Popis: | The thermal and coalescence models both describe well yields of light nuclei produced in relativistic heavy-ion collisions at LHC. We propose to measure the yield of $^4{\rm Li}$ and compare it to that of $^4{\rm He}$ to falsify one of the models. Since the masses of $^4{\rm He}$ and $^4{\rm Li}$ are almost equal, the yield of $^4{\rm Li}$ is about 5 times bigger than that of $^4{\rm He}$ in the thermal model because of different numbers of spin states of the two nuclides. Their internal structures are, however, very different: the alpha particle is well bound and compact while $^4{\rm Li}$ is weakly bound and loose. Consequently, the ratio of yields of $^4{\rm Li}$ to $^4{\rm He}$ is significantly smaller in the coalescence model and it strongly depends on the collision centrality. Since the nuclide $^4{\rm Li}$ is unstable and it decays into $^3{\rm He}$ and $p$, the yield of $^4{\rm Li}$ can be experimentally obtained through a measurement of the $p\!-\!^3{\rm He}$ correlation function. The function carries information not only about the yield of $^4{\rm Li}$ but also about the source of $^3{\rm He}$ and allows one to determine through a source-size measurement whether of $^3{\rm He}$ is directly emitted from the fireball or it is formed afterwards. We compute the correlation function taking into account the $s-$wave scattering and Coulomb repulsion together with the resonance interaction responsible for the $^4{\rm Li}$ nuclide. We discuss how to infer information about an origin of $^3{\rm He}$ from the correlation function, and finally a method to obtain the yield of $^4{\rm Li}$ is proposed. 16 pages, 10 figures, to appear in European Physical Journal A Topical Issue on "Light clusters in nuclei and nuclear matter: Nuclear structure and decay, heavy ion collisions, and astrophysics". arXiv admin note: substantial text overlap with arXiv:2004.07029 |
Databáze: | OpenAIRE |
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