scholarly journals Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Pei-Lin Yin ◽  
Zhu-Fang Cui ◽  
Craig D. Roberts ◽  
Jorge Segovia
Keyword(s):  
Quantum Chromodynamics ◽  
Contact Interaction ◽  
Ground State ◽  
Constituent Quark ◽  
Algebraic Approach ◽  
Negative Parity ◽  
Heavy Quarks ◽  
Decay Constants ◽  
Faddeev Amplitude ◽  
Quark Models

AbstractA symmetry-preserving treatment of a vector $$\times $$ ×  vector contact interaction is used to compute spectra of ground-state $$J^P = 0^\pm , 1^\pm $$ J P = 0 ± , 1 ± $$(f{\bar{g}})$$ ( f g ¯ ) mesons, their partner diquark correlations, and $$J^P=1/2^\pm , 3/2^\pm $$ J P = 1 / 2 ± , 3 / 2 ± (fgh) baryons, where $$f,g,h \in \{u,d,s,c,b\}$$ f , g , h ∈ { u , d , s , c , b } . Results for the leptonic decay constants of all mesons are also obtained, including scalar and pseudovector states involving heavy quarks. The spectrum of baryons produced by this chiefly algebraic approach reproduces the 64 masses known empirically or computed using lattice-regularised quantum chromodynamics with an accuracy of 1.4(1.2)%. It also has the richness of states typical of constituent-quark models and predicts many baryon states that have not yet been observed. The study indicates that dynamical, nonpointlike diquark correlations play an important role in all baryons; and, typically, the lightest allowed diquark is the most important component of a baryon’s Faddeev amplitude.

Ground state heavy meson spectrum in the frame work of constituent quark models

2013 ◽  
Vol 87 (5) ◽  
pp. 493-498 ◽  
Author(s):  
K. B. Vijaya Kumar ◽  
Bhaghyesh ◽  
A. P. Monteiro
Keyword(s):  
Ground State ◽  
Constituent Quark ◽  
Heavy Meson ◽  
Meson Spectrum ◽  
Frame Work ◽  
Quark Models

scholarly journals Spectrum of the $$uudc \bar{c}$$ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Fl. Stancu
Keyword(s):  
Hyperfine Interaction ◽  
Ground State ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Negative Parity ◽  
Wave Functions ◽  
Positive Parity ◽  
Permutation Symmetry ◽  
Orbital Excitation ◽  
Space Wave

AbstractWe study a few of the lowest states of the pentaquark $$uudc\overline{c}$$uudcc¯, of positive and negative parity, in a constituent quark model with an SU(4) flavor-spin hyperfine interaction. For positive parity we introduce space wave functions of appropriate permutation symmetry with one unit of orbital angular momentum in the internal motion of the four-quark subsystem or an orbital excitation between the antiquark and the four quark subsystem which remains in the ground state. We show that the lowest positive parity states $$1/2^+, 3/2^+$$1/2+,3/2+ are provided by the first alternative and are located below the $$1/2^-$$1/2- and the $$1/2^+$$1/2+ states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.

scholarly journals Properties of Doubly Heavy Baryons

Universe ◽  
2021 ◽  
Vol 7 (9) ◽  
pp. 337
Author(s):  
Zalak Shah ◽  
Amee Kakadiya ◽  
Keval Gandhi ◽  
Ajay Kumar Rai
Keyword(s):  
Excited State ◽  
Quark Model ◽  
Ground State ◽  
Mass Spectra ◽  
Constituent Quark ◽  
Magnetic Moments ◽  
Constituent Quark Model ◽  
Negative Parity ◽  
Heavy Baryons ◽  
Model Scheme

We revisited the mass spectra of the Ξcc++ baryon with positive and negative parity states using Hypercentral Constituent Quark Model Scheme with Coloumb plus screened potential. The ground state of the baryon has been determined by the LHCb experiment, and the anticipated excited state masses of the baryon have been compared with several theoretical methodologies. The transition magnetic moments of all heavy baryons Ξcc++, Ξcc+, Ωcc+, Ξbb0, Ξbb−, Ωbb−, Ξbc+, Ξbc0, Ωbc0 are also calculated and their values are −1.013 μN, 1.048 μN, 0.961 μN, −1.69 μN, 0.73 μN, 0.48 μN, −1.39 μN, 0.94 μN and 0.710 μN, respectively.

scholarly journals Target space entanglement in quantum mechanics of fermions and matrices

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Sotaro Sugishita
Keyword(s):  
Mutual Information ◽  
Ground State ◽  
Entanglement Entropy ◽  
Algebraic Approach ◽  
Upper Bounds ◽  
Wave Functions ◽  
Target Space ◽  
Single Interval ◽  
Area Law ◽  
Formula Expression

Abstract We consider entanglement of first-quantized identical particles by adopting an algebraic approach. In particular, we investigate fermions whose wave functions are given by the Slater determinants, as for singlet sectors of one-matrix models. We show that the upper bounds of the general Rényi entropies are N log 2 for N particles or an N × N matrix. We compute the target space entanglement entropy and the mutual information in a free one-matrix model. We confirm the area law: the single-interval entropy for the ground state scales as $$ \frac{1}{3} $$ 1 3 log N in the large N model. We obtain an analytical $$ \mathcal{O}\left({N}^0\right) $$ O N 0 expression of the mutual information for two intervals in the large N expansion.

MOMENTUM-SPACE FADDEEV CALCULATIONS FOR GROUND-STATE TRIPLY AND DOUBLY HEAVY BARYONS IN THE CONSTITUENT QUARK MODEL

2010 ◽  
Vol 25 (24) ◽  
pp. 2077-2088 ◽  
Author(s):  
W. ZHENG ◽  
H. R. PANG
Keyword(s):  
Quark Model ◽  
Ground State ◽  
Constituent Quark ◽  
Relativistic Correction ◽  
Constituent Quark Model ◽  
Spin Splitting ◽  
Decuplet Baryon ◽  
Heavy Baryons ◽  
Three Body ◽  
S Quarks

In the framework of constituent quark model, mass spectra of the ground-state baryons consisting of three or two heavy (b or c) and one light (u, d or s) quarks are calculated by solving three-body Faddeev equations. The results imply that, it is possible to obtain a unified model to describe heavy baryons spectra, as well as meson and SU(3) octet and decuplet baryon spectra. We find that, when taking into account the relativistic correction quark–diquark approximation and three-body Faddeev approach tend to give similar predictions for heavy–light systems. We also study the spin splitting of JP = (1/2+) and JP = (3/2+).

scholarly journals XYZ states as hadronic molecules

2019 ◽  
Vol 202 ◽  
pp. 01002
Author(s):  
A.V. Nefediev
Keyword(s):  
Heavy Quarks ◽  
Exotic States ◽  
The Past ◽  
Quark Models ◽  
Molecule Model

In the past decade, a lot of new hadrons containing heavy quarks were discovered which do not fit into the scheme provided by the traditional quark models. Such states are known as the XYZ states and they are conventionally referred to as exotic ones. At present, there is no consensus on their nature, and different models and approaches have been suggested to explain their unusual properties. The talk is devoted to a brief overview of the molecule model for such exotic states.

scholarly journals Masses of ground-state mesons and baryons, including those with heavy quarks

2019 ◽  
Vol 100 (3) ◽  
Author(s):  
Pei-Lin Yin ◽  
Chen Chen ◽  
Gastão Krein ◽  
Craig D. Roberts ◽  
Jorge Segovia ◽  
...  
Keyword(s):  
Ground State ◽  
Heavy Quarks

Mass spectrum and leptonic decay constants of ground and radially excited states of ηc and ηb in a Bethe–Salpeter equation framework

2015 ◽  
Vol 24 (04) ◽  
pp. 1550030 ◽  
Author(s):  
Hluf Negash ◽  
Shashank Bhatnagar
Keyword(s):  
Mass Spectrum ◽  
Excited States ◽  
Ground State ◽  
Reasonable Agreement ◽  
Equal Mass ◽  
Leptonic Decay ◽  
Decay Constants ◽  
Pseudoscalar Mesons

In this paper, we study the mass spectrum and decay constants of ground state (1S) and radially excited states (2S and 3S) of heavy equal mass pseudoscalar mesons, ηc and ηb. We have employed the framework of Bethe–Salpeter equation (BSE) under Covariant Instantaneous Ansatz (CIA). Our predictions are in reasonable agreement with the data on available states and results of other models.

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