arXiv subjects

Chia-Chu Chen

Publications and source records attributed to Chia-Chu Chen.

12 recordsLinked to original sources

arXiv2023

$P_c$ states in the mixture of molecular and pentaquark pictures

We systematically study hidden charm pentaquark states in the constituent quark model with a general Hamiltonian for multiquark systems, considering the coupling between the $Σ_c^{(*)}\bar{D}^{(*)}$ molecular states and the $q^3c\bar c$ compact pentaquark states by the one-gluon exchange hyperfine interaction. The ground state hidden-charm pentaquark mass spectra and the strong decay widths are calculated. This work suggests that $P_c(4312)$, $P_c(4457)$ and $P_c(4380)$ resonances might be mainly $Σ_c \bar D$, $Σ_c \bar D^*$ and $Σ_c^* \bar D$ hadronic molecules respectively, and $P_c(4440)$ might include sizable pentaquark components.

hep-ph↗

arXiv2023

Group Theory Analysis of $P_c$ Resonances in Molecular Picture

Hidden-charm pentaquarks are analysed in Group Theory in the baryon-meson molecule picture within the framework of the constituent quark model. The investigation of strong decays of pentaquark resonances reveals that pentaquark states of all quark configurations can decay through the $N J/ψ$ channel while only five pentaquark states may decay in open-charm modes. The partial decay widths in the $pη_c$ channel are in the same order as in the $p J/ψ$ channel for $J^P=1/2^-$ baryon-meson pentaquark states, but the $pη_c$ channel is forbidden for $J^P=3/2^-$ states. The $p η_c$, $Σ_c\bar{D}$ and $Λ_c^+\bar{D}$ channels open for $J^P=1/2^-$ $P_c(4440)$ and $P_c(4457)$ while the $Σ_c^*\bar{D}$ channel opens for $J^P=3/2^-$ $P_c(4440)$ and $P_c(4457)$. For $P_c(4312)$, due to the mass threshold of $Σ_c\bar{D}$ and $Σ_c^*\bar{D}$ higher than 4312 MeV, the $p η_c$ and $Λ_c^+\bar{D}$ channels are open for $J^P=1/2^-$ but no open-charm channel open for $J^P=3/2^-$. We strongly suggest that the spin of the $P_c$ resonances may be determined in experiments by investigating the $p η_c$ and open-charm channels.

hep-ph↗

arXiv2021

$P_c$ Resonances in the Compact Pentaquark Picture

$P_c$ resonances are studied in the approach of quark model and group theory. It is found that there are totally 17 possible pentaquark states with the quark contents $q^3Q \bar Q$ ($q$ are $u$ and $d$ quarks; $Q$ is $c$ quark) in the compact pentaquark picture, where the hidden heavy pentaquark states may take the color singlet-singlet ($[111]_{qqq}\otimes [111]_{c \bar c}$) and color octet-octet ($[21]_{qqq}\otimes [21]_{c \bar c}$) configurations. The partial decay widths of hidden heavy pentaquark states are calculated for all possible decay channels. The results show that the $pJ/ψ$ is the dominant decay channel for both the spin $3/2$ and $1/2$ pentaquark states, and indicate that the $P_c(4440)$ may not be a compact pentaquark state while $P_c(4312)$ and $P_c(4457)$ could be the spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ pentaquark states, respectively.

hep-ph↗

arXiv2011

Cellular Ability to Sense Spatial Gradients in the Presence of Multiple Competitive Ligands

Many eukaryotic and prokaryotic cells can exhibit remarkable sensing ability under small gradient of chemical compound. In this study, we approach this phenomenon by considering the contribution of multiple ligands to the chemical kinetics within Michaelis-Menten model. This work was inspired by the recent theoretical findings from Bo Hu et al. [Phys. Rev. Lett. 105, 048104 (2010)], our treatment with practical binding energies and chemical potential provides the results which are consistent with experimental observations.

physics.bio-ph↗

arXiv2011

Direct Counting Analysis on Network Generated by Discrete Dynamics

A detail study on the In-degree Distribution (ID) of Cellular Automata is obtained by exact enumeration. The results indicate large deviation from multiscaling and classification according to ID are discussed. We further augment the transfer matrix as such the distributions for more complicated rules are obtained. Dependence of In-degree Distribution on the lattice size have also been found for some rules including R50 and R77.

physics.data-an↗

arXiv2006

Ground State Instabilities and Entanglement in the Detuned Dicke Model

Ground state instabilities of the spin-boson model is studied in this work. The existence of sequential ground state instabilities is shown analytically for arbitrary detuning in the two-spin system. In this model, extra discontinuities of concurrence(entanglement measure) are found in the finite system, which do not appear in the on-resonant model. The above results remain intact by including extra boson modes. Moreover, by including extra modes, it is found that ground state entanglement can be obtained and enhanced even in the weak coupling regime.

quant-ph↗

arXiv2006

Role of Bell Singlet State in the Suppression of Disentanglement

The stability of entanglement of two atoms in a cavity is analyzed in this work. By studying the general Werner states we clarify the role of Bell-singlet state in the problem of suppression of disentanglement due to spontaneous emission. It is also shown explicitly that the final amount of entanglement depends on the initial ingredients of the Bell-singlet state.

quant-ph↗

arXiv2003

Analytic Proof of the Attractors of a Class of Cellular Automaton

In this work we provide analytic results of infinite one-dimensional cellular automaton(CA). By realizing symbolic products, we investigate a subclass of infinite CA and prove analytically that within this subclass the only allowed attractors are homogenous, steady and periodic states for arbitrary initial configuration. Our method also provide exact enumeration of these attractors and it is shown explicitly in a particular model.

nlin.CG↗

arXiv2003

Generation and Evolution of Spin Entanglement in NRQED

A complete analysis on the generation of spin entanglement from NRQED is presented. The results of entanglement are obtained with relativistic correction to the leading order of (v/c)^2. It is shown that to this order the degree of entanglement of a singlet state does not change under time evolution whereas the triplet state can change.

quant-ph↗

arXiv2003

Homogeneous States of Finite Periodic CA with GKL Rules

For any finite lattice of size 2N, it is shown that the GKL automaton will evolve into attractors if the initial configurations contains an homogeneous block of size larger than N. The best time estimation for reaching these attracting states is obtained. Our results also confirm to the case of infinite lattice which has been obtained previously.

nlin.CG↗

arXiv1998

Stochastic Responses of the Stable Period-p Orbits in One-Dimensional Noisy Map Systems

We analytically derive the correlation functions of the stochastic response of period-p orbits in a generic one-dimensional map system under the influence of weak external, additive white noise. Two approaches, a recurrence scheme and a path integral method, are provided. Beside the supercycle, we recognise that the fluctuations on each elements of the period-p orbits are colored noise which have non-vanishing time correlation. The results also indicate that the stochastic responses will be stationary after a large number of period-p iterations. The analytical results are confirmed by numerical simulations.

chao-dyn↗

arXiv1997

Stochastic Response, Cascading and Control of Colored Noise in Dynamical System

We analytically determine the correlation functions of the stochastic response of a generic mapping system driven by colored noise. We also address the issue of noise cascading in coupled-element systems, particularly in a uni-directionally coupled system with dc-filtered coupling. A noise-feedback method and an opposite-pairing method are introduced to control the stochastic response. Excellent agreements are obtained between analytical results and numerical simulations.

chao-dyn↗