scholarly journals Precise comparison of the Gaussian expansion method and the Gamow shell model

2014 ◽  
Vol 89 (4) ◽  
Author(s):  
H. Masui ◽  
K. Katō ◽  
N. Michel ◽  
M. Płoszajczak
Keyword(s):  
Shell Model ◽  
Expansion Method ◽  
Gaussian Expansion Method

scholarly journals The Genuine Resonance of Full-Charm Tetraquarks

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 155
Author(s):  
Xiaoyun Chen
Keyword(s):  
Quark Model ◽  
Bound States ◽  
Expansion Method ◽  
Chiral Quark Model ◽  
Stabilization Method ◽  
Scaling Method ◽  
Resonance States ◽  
Gaussian Expansion Method ◽  
Color Structure ◽  
Quantum Numbers

In this work, the genuine resonance states of full-charm tetraquark systems with quantum numbers JPC=0++,1+−,2++ are searched in a nonrelativistic chiral quark model with the help of the Gaussian Expansion Method. In this calculation, two structures, meson-meson and diquark–antidiquark, as well as their mixing with all possible color-spin configurations, are considered. The results show that no bound states can be formed. However, resonances are possible because of the color structure. The genuine resonances are identified by the stabilization method (real scaling method). Several resonances for the full-charm system are proposed, and some of them are reasonable candidates for the full-charm states recently reported by LHCb.

A dynamic shell model for diagnostics of rotating machinery under periodic excitation

2021 ◽  
Vol 263 (2) ◽  
pp. 4120-4131
Author(s):  
Murat Inalpolat ◽  
Enes Timur Ozdemir
Keyword(s):  
Boundary Conditions ◽  
Shell Model ◽  
Dynamic Model ◽  
Shell Structure ◽  
Acoustic Radiation ◽  
Circular Cylindrical Shell ◽  
Expansion Method ◽  
Rotating Machinery ◽  
Forced Response ◽  
Fourier Series Expansion

In this paper, a generalized dynamic model of a shell structure has been developed and utilized for diagnostics purposes. The dynamic model is three-dimensional, includes the effects of rotary inertia and shear deformation, and can handle moving loads in radial, tangential and axial directions. The model is utilized to determine in-plane radial displacements of the shell structure under concentrated radial loads for different boundary conditions. The periodic loads are constructed using harmonics obtained through the Fourier series expansion method. The modal expansion technique is implemented for calculation of the steady state forced response of the shell structure. A simplified acoustic radiation model is also implemented in conjunction with the dynamic shell model to predict the noise radiated from a rotating circular cylindrical shell structure under different kinematic, loading and boundary conditions. Moreover, forced vibration response and acoustic radiation predicted will be employed to reveal patterns in the signals that can potentially be used for diagnostics of rotating machinery applications. The shell model is derived using a comprehensive approach and thus can be used to model prevalent engineering applications ranging from electric motors to gears and bearings.

scholarly journals RPA calculations with Gaussian expansion method

2009 ◽  
Vol 828 (3-4) ◽  
pp. 283-305 ◽  
Author(s):  
H. Nakada ◽  
K. Mizuyama ◽  
M. Yamagami ◽  
M. Matsuo
Keyword(s):  
Expansion Method ◽  
Gaussian Expansion Method

scholarly journals Forbidden transitions in nuclear weak processes relevant to neutrino detection, nucleosynthesis and evolution of stars

2019 ◽  
Vol 223 ◽  
pp. 01063
Author(s):  
Toshio Suzuki ◽  
Satoshi Chiba ◽  
Takashi Yoshida ◽  
Koh Takahashi ◽  
Hideyuki Umeda ◽  
...  
Keyword(s):  
Shell Model ◽  
Cross Sections ◽  
Neutral Current ◽  
Expansion Method ◽  
Multipole Expansion ◽  
Reaction Cross ◽  
Model Calculations ◽  
Multipole Expansion Method ◽  
Supernova Explosions ◽  
Model Hamiltonians

The distribution of the spin-dipole strengths in 16O and neutrino-induced reactions on 16O areinvestigated by shell-model calculations with new shell-model Hamiltonians. Chargedcurrent and neutral-current reactioncross sections are valuated in various particle and γ emission channels as well as the total ones at neutrinoenergies up to Eν≈ 100 MeV. Effects of multiparticle emission channels, especially the αp emission channels, on nucleosynthesis of 11B and 11C in core-collapse supernova explosions are investigated. The MSW neutrino oscillation effects oncharged-current reaction cross sections are investigated for future supernova burst. Electron capture rates for a forbidden transition 20Ne(Og.s.+) → 20F(2g.s.+) in stellar environments are evaluated by the multipole expansion method with the use of shell model Hamiltonians, and compared with those obtained by a prescription that treats the transition as an allowed GamowTeller (GT) transition. Different electron energy dependence of the transition strengths between the two methods is found to lead to sizable differences in the weak rates of the two methods.

Two-body strong decay of light mesons with Gaussian expansion method

2014 ◽  
Vol 29 (30) ◽  
pp. 1450175 ◽  
Author(s):  
Xiaoyun Chen ◽  
Zhaozhao Yan ◽  
Jialun Ping
Keyword(s):  
Experimental Data ◽  
Harmonic Oscillator ◽  
Quark Model ◽  
Expansion Method ◽  
Wave Functions ◽  
Chiral Quark Model ◽  
Strong Decay ◽  
Exotic States ◽  
Gaussian Expansion Method ◽  
Normal States

In this paper, we survey the radial and orbital excitations of I = 0 and [Formula: see text] systems anticipated up to 2.0 GeV in the framework of the chiral quark model. The Schrödinger equation is solved by using Gaussian expansion method. And using the wave functions obtained, instead of the simple harmonic oscillator wave functions, we study systematically the two-body strong decay (limited to S + S modes) of the systems. By comparing with the experimental data, we try to identify the normal states and exotic states.

Gaussian expansion method for few-body systems

2003 ◽  
Vol 51 (1) ◽  
pp. 223-307 ◽  
Author(s):  
E Hiyama ◽  
Y Kino ◽  
M Kamimura
Keyword(s):  
Expansion Method ◽  
Gaussian Expansion Method

scholarly journals Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method

2018 ◽  
Vol 42 (8) ◽  
pp. 083103 ◽  
Author(s):  
Qi Meng ◽  
Qian Wu ◽  
Peng Cheng ◽  
Jialun Ping ◽  
Hongshi Zong
Keyword(s):  
Expansion Method ◽  
Gaussian Expansion Method ◽  
Dissociation Temperature

scholarly journals Convergence of the Gaussian Expansion Method in Dimensionally Reduced Yang-Mills Integrals

2002 ◽  
Vol 2002 (10) ◽  
pp. 043-043 ◽  
Author(s):  
Jun Nishimura ◽  
Toshiyuki Okubo ◽  
Fumihiko Sugino
Keyword(s):  
Expansion Method ◽  
Yang Mills ◽  
Gaussian Expansion Method

scholarly journals Charmonium States in QCD-Inspired Quark Potential Model Using Gaussian Expansion Method

2012 ◽  
Vol 53 (3-4) ◽  
pp. 327-342 ◽  
Author(s):  
Lu Cao ◽  
You-Chang Yang ◽  
Hong Chen
Keyword(s):  
Potential Model ◽  
Expansion Method ◽  
Gaussian Expansion Method ◽  
Quark Potential ◽  
Charmonium States
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