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arXiv · 1510.05895

Long-range properties of $1S$ bottomonium states

Nora Brambilla·Gastão Krein·Jaume Tarrús Castellà·Antonio Vairo
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Abstract

In the framework of weakly-coupled pNRQCD, we derive, first, an analytical expression for the chromo-polarizability of $1S$-bottomonium states in agreement with previous determinations. Then we use the QCD trace anomaly to obtain the two-pion production amplitude for the chromo-polarizability operator and match the result to a chiral effective field theory with $1S$-bottomonium states and pions as degrees-of-freedom. In this chiral effective field theory we compute some long-range properties of the $1S$ bottomonium generated by the pion coupling such as the leading chiral logarithm to the $1S$-bottomonium mass and the van der Waals potential between two $1S$-bottomonium states. Both results improve on previously known expressions.

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Nora Brambilla, Gastão Krein, Jaume Tarrús Castellà, Antonio Vairo. 2016-03-02. Long-range properties of $1S$ bottomonium states. https://doi.org/10.1103/physrevd.93.054002

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