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Investigation of the $\eta'N$ system using the linear sigma model

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arxiv 1607.07116 v2 pith:BTWFZYRB submitted 2016-07-25 nucl-th hep-ph

classification nucl-thhep-ph
keywords breakingflavorsymmetrysystemboundincludinglinearmodel
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper, we investigate the $\eta'N$ system using the three-flavor linear sigma model including the effect of flavor SU(3) symmetry breaking. The $\eta'N$ bound state is also found in the case including flavor symmetry breaking and coupling with the $\eta N$ and $\pi N$ channels. The $\eta'N$ interaction becomes more attractive with the inclusion of flavor symmetry breaking, which causes mixing between the singlet and octet scalar mesons. The existence of such a bound state would have some impact on the $\eta'$-nucleus system, which is of interest from both theoretical and experimental viewpoints.

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  1. Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model

    nucl-th 2019-08 conditional novelty 6.0 of 10

    Combining the extended Linear Sigma Model with a parity doublet nucleon model, this paper predicts that most light meson masses drop in nuclear matter and favors a chiral invariant mass M0 around 0.8 GeV.

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