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Molecular pentaquarks composed of a ground octet baryon and a $P-$wave anti-charmed meson

Yu-Yue Cui, Rui Chen, Qi Huang

TL;DR

The work investigates anti-charmed molecular pentaquarks formed by a $P$-wave anti-charmed meson doublet interacting with ground-state octet baryons via a comprehensive one-boson-exchange framework, incorporating $S$- and $P$-wave dynamics, $S$-$D$ mixing, and coupled channels. Using heavy-quark and chiral symmetry to derive the effective potentials and solving coupled-channel Schrödinger equations, it predicts a spectrum of loosely bound states with $|S|=0,1,2$, identifying numerous $\bar{D}_1N$, $\bar{D}_2^*N$, $\bar{D}_1\Sigma$, $\bar{D}_2^*\Sigma$, $\bar{D}_1\Xi$, and $\bar{D}_2^*\Xi$ candidates and detailing their quantum numbers and typical sizes. The results show that coupled-channel effects are crucial for binding in several channels and that some states are predominantly molecular, while others appear compact and disfavored as molecular candidates. The predicted states provide concrete targets for experimental searches at facilities like LHCb and Belle II, offering a testbed for hadronic interaction models and the molecular interpretation of exotic hadrons.

Abstract

In this work, we investigate the interactions between an excited anti-charm meson doublet $(\bar{D}_1, \bar{D}_2^*)$ and ground-state octet baryons $(N, Λ, Σ, Ξ)$ with the aim of identifying possible molecular pentaquark states. A systematic analysis is performed within the one-boson-exchange model, which incorporates both $S$-wave and $P$-wave interactions, $S$-$D$ wave mixing, and coupled-channel effects. By solving the Schrödinger equations, we can predict a rich spectrum of loosely bound anti-charm molecular pentaquarks with strangeness $|S| = 0, 1, 2$. Our results provide specific quantum number assignments and mass range predictions to guide future experimental searches at facilities such as LHCb and Belle II. The discovery of such states would significantly enrich the hadron spectrum and serve as a critical test of theoretical models for hadronic interactions.

Molecular pentaquarks composed of a ground octet baryon and a $P-$wave anti-charmed meson

TL;DR

The work investigates anti-charmed molecular pentaquarks formed by a -wave anti-charmed meson doublet interacting with ground-state octet baryons via a comprehensive one-boson-exchange framework, incorporating - and -wave dynamics, - mixing, and coupled channels. Using heavy-quark and chiral symmetry to derive the effective potentials and solving coupled-channel Schrödinger equations, it predicts a spectrum of loosely bound states with , identifying numerous , , , , , and candidates and detailing their quantum numbers and typical sizes. The results show that coupled-channel effects are crucial for binding in several channels and that some states are predominantly molecular, while others appear compact and disfavored as molecular candidates. The predicted states provide concrete targets for experimental searches at facilities like LHCb and Belle II, offering a testbed for hadronic interaction models and the molecular interpretation of exotic hadrons.

Abstract

In this work, we investigate the interactions between an excited anti-charm meson doublet and ground-state octet baryons with the aim of identifying possible molecular pentaquark states. A systematic analysis is performed within the one-boson-exchange model, which incorporates both -wave and -wave interactions, - wave mixing, and coupled-channel effects. By solving the Schrödinger equations, we can predict a rich spectrum of loosely bound anti-charm molecular pentaquarks with strangeness . Our results provide specific quantum number assignments and mass range predictions to guide future experimental searches at facilities such as LHCb and Belle II. The discovery of such states would significantly enrich the hadron spectrum and serve as a critical test of theoretical models for hadronic interactions.
Paper Structure (7 sections, 11 equations, 1 figure, 8 tables)

This paper contains 7 sections, 11 equations, 1 figure, 8 tables.

Table of Contents

  1. introduction
  2. The OBE interactions
  3. Numerical results
  4. The $\bar{D}_1N$ and $\bar{D}_2^*N$ systems
  5. The $\bar{D}_1\Lambda$, $\bar{D}_1\Sigma$, $\bar{D}_2^*\Lambda$ and $\bar{D}_2^*\Sigma$ systems
  6. The $\bar{D}_1\Xi$ and $\bar{D}_2^*\Xi$ systems
  7. Summary

Figures (1)

  • Figure 1: Predictions of anti-charm pentaquarks.