QCD sum rule Study of the $d^{\ast }(2380)$

Abstract

We systematically construct $I(J^P)=0(3^{+})$ six-quark local interpolating currents without derivative operators. We discuss the best choice of operator, and select three $\Delta$-$\Delta$ like operators to perform QCD sum rule analyses to calculate the mass of the $d^{\ast }(2380)$. The mass extracted from this analysis is $M_{d^{\ast }}=2.4\pm 0.2$ GeV, consistent with the $d^{\ast }(2380)$ mass observed by the WASA detector at COSY. We also obtain a sum-rule lower mass bound $M_{d^{\ast }}>2.25$ GeV. We also consider the effect of mixing of singlet dibaryon fields with the same quantum numbers, and perform the QCD sum rule analysis of the mixed interpolating current and extract the mass of the $d^{\ast }(2380)$ and its lower mass bound. With optimized mixing parameters, we find that the mixed current does not change the numerical result significantly.

9 pages, 4 figures

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Cited by in corpus (9)

• Pentaquark and Tetraquark states
• D-wave charmed and bottomed baryons from QCD sum rules
• Scattering of decuplet baryons in chiral effective field theory
• Hidden-bottom and -charm hexaquark states in QCD sum rules
• Study of ${\Lambda }_c$${\Lambda }_c$ dibaryon and ${\Lambda }_c$${\bar{\Lambda }}_c$ baryonium states via QCD sum rules
• $d^{\ast }(2380)$ and its partners in a diquark model
• Investigation of ${\Delta }^0{\Delta }^0$ dibaryon in QCD
• Electromagnetic properties of the $D{\bar{D}}^{\ast }K$ molecular hexaquark state
• Branching Ratios for the Decay of $d^{\ast }(2380)$