THE STUDY OF $^3_{\Sigma}{\rm HE}$ HYPERNUCLEUS BASED ON THE CHIRAL SU(3) QUARK MODEL

2010 ◽  
Vol 19 (02) ◽  
pp. 281-289
Author(s):  
S. T. LV ◽  
H. Y. CAO ◽  
X. LU

With the resonating group method, we study the non-local Σ - N interaction and spin–isospin dependence of Σ - N in the chiral SU (3) quark model. Meanwhile, the binding energy of hypernucleus [Formula: see text] is calculated based on the non-local Σ - N interaction in the union of channels with (S = 0, T = 1/2), (S = 1, T = 1/2) and (S = 0, T = 3/2). The result shows that there theoretically exists bound state of [Formula: see text]. Furthermore, we analyze the effect of various potentials and relative motion energy between hyperon and core on the binding energy in the model.

2005 ◽  
Vol 20 (01) ◽  
pp. 69-77
Author(s):  
HOURONG PANG ◽  
JIALUN PING ◽  
XIAOHUA WU

We expand Salamanca SU (2) chiral quark model to SU (3) one and calculate promising dibaryon candidates with strangeness S=-3,-6 in the framework of resonating group method. We find that, besides ΩΩ, the mass of NΩ state is about 23–38 MeV lower than its threshold, it might appear as a bound state or a narrow resonance. The effect of K and η exchanges on the masses of strangeness and nonstrangeness systems has been studied and found to be negligible for nonstrangeness systems. However this effect brings some changes (about tens of MeV) on the masses of strangeness systems. We have also studied the sensitivities of binding energy and root mean square radius to the mass of s-quark.


2014 ◽  
Vol 26 ◽  
pp. 1460120 ◽  
Author(s):  
L. R. DAI ◽  
J. LIU ◽  
L. YUAN

The mixing of scalar mesons is introduced into the baryon-baryon system in the chiral SU(3) quark model to further dynamically investigate the Di-omega state by using the same parameters as those in reasonably describing the experimental hyperon-nucleon and nucleon-nucleon scattering data. Two different mixings of scalar mesons, the ideal mixing and 19° mixing, are discussed, and compared with no mixing. The results show that it is still deeply bound state if 19° mixing is adopted, the same as those of no mixing. However, for ideal mixing, the binding energy is reduced quite a lot, yet it is still a bound state.


2014 ◽  
Vol 26 ◽  
pp. 1460071
Author(s):  
W. L. WANG ◽  
F. HUANG ◽  
Z. Y. ZHANG ◽  
B. S. ZOU

We report our recent work on a dynamical investigation of the [Formula: see text] and [Formula: see text] states in a chiral quark model. Our results show that the [Formula: see text] interaction is attractive, which consequently results in a [Formula: see text] bound state with the binding energy of about 5-42 MeV, unlike the case of [Formula: see text] state, which has a repulsive interaction and thus is unbound.


2003 ◽  
Vol 18 (02n06) ◽  
pp. 102-111
Author(s):  
Y. FUJIWARA ◽  
M. KOHNO ◽  
Y. SUZUKI ◽  
C. NAKAMOTO ◽  
K. MIYAGAWA ◽  
...  

Baryon-baryon interactions of the complete baryon octet (B8) are investigated in a unified framework of the (3q)-(3q) resonating-group method, which employs the spin-flavor SU6 quark-model wave functions. Model parameters are determined to reproduce properties of the nucleon-nucleon system and the low-energy cross section data for the hyperon-nucleon interaction. The characteristic features of the B8B8 interactions predicted by the most recent model fss2 are reviewed. The nucleon-nucleon sector of this SU6 quark model is applied to calculate properties of the three-nucleon bound state. The calculated binding energy for 3H is the closest to the experiment among many results obtained by detailed Faddeev calculations employing modern realistic nucleon-nucleon potentials.


2010 ◽  
Vol 25 (16) ◽  
pp. 1325-1332 ◽  
Author(s):  
W. L. WANG ◽  
F. HUANG ◽  
Z. Y. ZHANG ◽  
F. LIU

The ωϕ states with spin S=0,1 and 2 are dynamically studied in a chiral SU(3) quark model by solving the resonating group method (RGM) equation. It is found that the interactions of ωϕ systems are attractive, while no ωϕ bound state or resonance state is obtained due to the insufficiency of the strength of ωϕ attractions.


2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yudai Ichikawa ◽  
Junko Yamagata-Sekihara ◽  
Jung Keun Ahn ◽  
Yuya Akazawa ◽  
Kanae Aoki ◽  
...  

Abstract We have measured, for the first time, the inclusive missing-mass spectrum of the $^{12}$C$(K^-, p)$ reaction at an incident kaon momentum of 1.8 GeV/$c$ at the J-PARC K1.8 beamline. We observed a prominent quasi-elastic peak ($K^-p \rightarrow K^-p$) in this spectrum. In the quasi-elastic peak region, the effect of secondary interaction is apparently observed as a peak shift, and the peak exhibits a tail in the bound region. We compared the spectrum with a theoretical calculation based on the Green’s function method by assuming different values of the parameters for the $\bar{K}$–nucleus optical potential. We found that the spectrum shape in the binding-energy region $-300 \, \text{MeV} < B_{K} < 40$ MeV is best reproduced with the potential depths $V_0 = -80$ MeV (real part) and $W_0 = -40$ MeV (imaginary part). On the other hand, we observed a significant event excess in the deeply bound region around $B_{K} \sim 100$ MeV, where the major decay channel of $K^- NN \to \pi\Sigma N$ is energetically closed, and the non-mesonic decay modes ($K^- NN \to \Lambda N$ and $\Sigma N$) should mainly contribute. The enhancement is fitted well by a Breit–Wigner function with a kaon-binding energy of 90 MeV and width 100 MeV. A possible interpretation is a deeply bound state of a $Y^{*}$-nucleus system.


2002 ◽  
Vol 65 (3) ◽  
Author(s):  
B. Juliá-Díaz ◽  
J. Haidenbauer ◽  
A. Valcarce ◽  
F. Fernández

2003 ◽  
Vol 721 ◽  
pp. C983-C986 ◽  
Author(s):  
Y. Fujiwara ◽  
K. Miyagawa ◽  
Y. Suzuki ◽  
M. Kohno ◽  
H. Nemura

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