Properties of single cluster structure of $d^{\ast }(2380)$ in chiral SU(3) quark model

Abstract

The structure of $d^{\ast }(2380)$ is re-studied with the single cluster structure in the chiral SU(3) quark model which has successfully been employed to explain the scattering and binding behaviors of baryonic systems. The mass and width are explicitly calculated with two types of trial wave functions. The result shows that the $(0s{)}^6[6{]}_{orb}$ configuration is easy to convert to the configuration with the same $[6{]}_{orb}$ symmetry but $2\hslash \omega$ excitation back and forth, however, it is seldom to turn into a two-cluster configuration with a (1s) relative motion in between. The resultant mass and width are about $2394$MeV and $25$MeV, respectively, and the stable size is about $0.75fm$, which are consistent with both the results in the two-cluster configuration calculation and the data measured by the COSY collaboration. It seems that the observed $d^{\ast }$ is a six-quark dominated exotic state with a spherical shape and breath mode in the coordinate space. Moreover, if $d^{\ast }$ does have $2\hslash \omega$ excitation, the $d^{\ast }\to np\pi \pi \pi$ decay mode might be a good place to distinguish the real structure of the observed phenomenon by COSY. The masses of various isospin-spin states of six-light-quark systems are also computed. It is shown that by considering the coupling with the configurations with $2\hslash \omega$ excitations, only the mirror state with $IS$=$30$ will be lower down to the place where whose mass is slightly higher than the value of the $\Delta \Delta$ threshold.

This paper has been withdrawn by the author as the further investigation is needed

References in corpus (12)

• The hidden-charm pentaquark and tetraquark states
• ABC Effect in Basic Double-Pionic Fusion --- Observation of a new resonance?
• Double-Pionic Fusion of Nuclear Systems and the ABCEffect -- Aproaching a Puzzle by Exclusive and Kinematically Complete Measurements
• On the History of Dibaryons and their Final Observation
• Three-body model calculations of Nucleon-Delta and Delta-Delta dibaryon resonances
• Neutron-Proton Scattering in the Context of the $d^{\ast }$(2380) Resonance
• QCD sum rule Study of the $d^{\ast }(2380)$
• A study of $d^{\ast }(2380)\to d\pi \pi$ decay width
• Decay width of $d^{\ast }(2380)\to NN\pi \pi$ processes
• ABC Effect and Resonance Structure in the Double-Pionic Fusion to ${}^3$He
• Decay width of $d^{\ast }(2380)\to NN\pi$ process in a chiral constituent quark model
• Exclusive measurement of two-pion production in the dd --> 4Hepipi reaction

Cited by in corpus (8)

• Hexaquark picture for $d^{\ast }(2380)$
• Dibaryons: Molecular versus Compact Hexaquarks
• An Isotensor Dibaryon in the $pp\to pp{\pi }^{+}{\pi }^{-}$ Reaction?
• $d^{\ast }(2380)$ and its partners in a diquark model
• Doubly charmed dibaryon states
• Reveal short range interactions between $u/d$ quarks in the $NN$, $D_{03}$, and $D_{30}$ systems
• The opportunity to find ${\bar{d}}^{\ast }(2380)$ in the ${\rm Y}(nS)$ decay
• Structure and Width of the d*(2380) Dibaryon