GROUND STATE SPECTRA OF THE NUCLEON OCTET IN A RELATIVISTIC LOGARITHMIC POTENTIAL

2008 ◽  
Vol 23 (20) ◽  
pp. 3073-3094 ◽  
Author(s):  
S. N. JENA ◽  
M. K. MUNI ◽  
H. R. PATTNAIK
Keyword(s):  
Mass Spectrum ◽  
Ground State ◽  
Potential Model ◽  
Goldstone Boson ◽  
Exchange Interactions ◽  
Logarithmic Potential ◽  
Coupling Constant ◽  
Bag Model ◽  
First Approximation ◽  
Experimental Values

The ground state spectra of the nucleon octet are studied in a relativistic logarithmic potential model taking into account the contributions of the quark–gluon coupling due to one-gluon-exchange interactions and that of Goldstone boson (π, η, K) exchange interactions between the constituent quarks in a baryon. The baryons are assumed here as an assembly of independent quarks confined in a first approximation by an effective logarithmic potential which presumably represents the nonperturbative gluon interactions, including the gluon self-couplings. This model treats the meson degree of freedom in a perturbative manner as is done in the cloudy bag model. The mass spectrum of low-lying baryons so obtained with the quark–gluon coupling constant αc = 0.195 agree reasonably well with the corresponding experimental values.

scholarly journals Study of Deuteron System in a Two-Body Potential Model

2018 ◽  
Vol 46 ◽  
pp. 1860087
Author(s):  
Zahra Ghalenovi ◽  
Asadolah Tavakolinezhad
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Potential Model ◽  
Energy Eigenvalue ◽  
Goldstone Boson ◽  
Body System ◽  
Relativistic Limit ◽  
Boson Exchange ◽  
The One ◽  
Body Potential

In this work, we study the Hamiltonian of Deuteron as a two-body system and solve the equation of the system in the non-relativistic limit. We obtain the ground state wave function as well as the corresponding energy eigenvalue of the deuteron system. The considered potentials are a combination of the confinement, Coulomb-like (as the one arising from one gluon exchange) and Goldstone boson exchange interaction.

scholarly journals 2S and 3S State Masses and decay constants of heavy-flavour mesons in a non-relativistic QCD potential model with three-loop effects in V-scheme

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Rashidul Hoque ◽  
B. J. Hazarika ◽  
D. K. Choudhury
Keyword(s):  
Perturbation Theory ◽  
Strong Coupling ◽  
Potential Model ◽  
Dynamic Properties ◽  
Strong Coupling Constant ◽  
Coupling Constant ◽  
Decay Constants ◽  
Scalar Mesons ◽  
Experimental Values ◽  
Pseudo Scalar

AbstractWe make an analysis of three -loop effects of the strong coupling constant in the study of masses and decay constants of the heavy-flavour pseudo-scalar mesons (PSM) D, $$D_s$$ D s , B, $$B_s,$$ B s , $$B_c$$ B c , $$\eta _c$$ η c and $$\eta _b$$ η b in a non-relativistic QCD potential model using Dalgarno’s perturbation theory (DPT). The first order mesonic wavefunction is obtained using Dalgarno’s perturbation theory. The three-loop effects of strong coupling constant are included in the wave function in co-ordinate space and then used to examine the static and dynamic properties of the heavy-flavour mesons for 2S and 3S higher states. The results are compared with the other models available and are found to be compatible with available experimental values. In V-scheme, the three-loop effects on masses and decay constants of heavy-flavour mesons show a significant result.

Magnetic ground state and exchange interactions in the Ising chain ferromagnet CoNb2O6

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Subhash Thota ◽  
Sayandeep Ghosh ◽  
Maruthi R ◽  
Deep C. Joshi ◽  
Rohit Medwal ◽  
...  
Keyword(s):  
Ground State ◽  
Exchange Interactions ◽  
Ising Chain ◽  
Magnetic Ground State

SUPER SYMMETRY IN STRONG AND WEAK INTERACTIONS

2010 ◽  
Vol 19 (02) ◽  
pp. 263-280
Author(s):  
U. V. S. SESHAVATHARAM ◽  
S. LAKSHMINARAYANA
Keyword(s):  
Ground State ◽  
Crucial Role ◽  
Weak Interactions ◽  
Light Quark ◽  
Fermion Mass ◽  
Coupling Constant ◽  
Mass Generation ◽  
Super Symmetry ◽  
Charged Boson ◽  
Charged Mesons

For strong interaction two new fermion mass units 105.32 MeV and 11450 MeV are assumed. Existence of "Integral charge quark bosons", "Integral charge effective quark fermions", "Integral charge (effective) quark fermi-gluons" and "Integral charge quark boso-gluons" are assumed and their masses are estimated. It is noticed that, characteristic nuclear charged fermion is Xs · 105.32 = 938.8 MeV and corresponding charged boson is Xs(105.32/x) = 415.0 where Xs = 8.914 is the inverse of the strong coupling constant and x = 2.26234 is a new number by using which "super symmetry" can be seen in "strong and weak" interactions. 11450 MeV fermion and its boson of mass = 11450/x = 5060 MeV plays a crucial role in "sub quark physics" and "weak interaction". 938.8 MeV strong fermion seems to be the proton. 415 MeV strong boson seems to be the mother of the presently believed 493,496 and 547 MeV etc, strange mesons. With 11450 MeV fermion "effective quark-fermi-gluons" and with 5060 MeV boson "quark boso-gluon masses" are estimated. "Effective quark fermi-gluons" plays a crucial role in ground state charged baryons mass generation. Light quark bosons couple with these charged baryons to form doublets and triplets. "Quark boso-gluons" plays a crucial role in ground state neutral and charged mesons mass generation. Fine and super-fine rotational levels can be given by [I or (I/2)] power(1/4) and [I or (I/2)] power(1/12) respectively. Here, I = n(n+1) and n = 1, 2, 3, ….

THE GROUND-STATE PHASE DIAGRAMS OF THE SPIN-2 ISING MODEL

2007 ◽  
Vol 21 (31) ◽  
pp. 5265-5274 ◽  
Author(s):  
AHMET ERDİNÇ
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
External Magnetic Field ◽  
Phase Diagrams ◽  
Crystal Field ◽  
Ground State ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Biquadratic Exchange ◽  
Model Hamiltonian

The ground-state phase diagrams are obtained for the spin-2 Ising model Hamiltonian with bilinear and biquadratic exchange interactions and a single-ion crystal field. The interactions are assumed to be only between nearest-neighbors. Obtained phase diagrams are presented in the (Δ,J), (K,J), (Δ/J,K/J), (Δ/|J|,K/|J|), (Δ/|K|,J/|K|), (H/J,Δ/J), (H/|J|,Δ/|J|), (H/J,K/J), and (H/|J|,K/|J|) planes where J, K, Δ, and H are the bilinear, biquadratic exchange interactions, the single-ion crystal field, and the external magnetic field, respectively. The influence of the external magnetic field on the spin configurations is investigated.

Theory of Brueckner and Sawada Applied to a Many-Boson Model

1973 ◽  
Vol 51 (3) ◽  
pp. 292-301 ◽  
Author(s):  
M. Razavy ◽  
E. S. Krebes
Keyword(s):  
Ground State ◽  
Transition Point ◽  
Matrix Formalism ◽  
Coupling Constant ◽  
Bogoliubov Approximation ◽  
Wide Range ◽  
Simple Change ◽  
Boson Model ◽  
Repulsive Forces ◽  
Range Of Values

The Bassichis–Foldy model of a simple interacting boson is solved numerically and the results are compared with those obtained by the Bogoliubov approximation and by the Brueckner–Sawada t-matrix formalism. In the normal region, contrary to the widely held view, the Brueckner–Sawada approximation for the energy of the ground state is not reliable for strong, well-behaved, repulsive forces. The Bogoliubov approximation, on the other hand, remains valid for a wide range of values of the coupling constant. In the inverted region, the attractive force causes a population inversion in the levels of the system. For this case a modified Brueckner–Sawada approximation is developed. This method is applied to the calculation of the transition point and the energies of the ground and the first excited states of the system. Here most of the predictions of the modified Brueckner–Sawada approximation are quite accurate. By a simple change in the Bassichis–Foldy model it is shown that even, for two bosons there can be a phase transition. In this model, the derivative of the ground state energy with respect to the coupling constant is discontinuous at the transition point.

scholarly journals Calculations of the decay transitions of the modified Pöschl–Teller potential model via Bohr Hamiltonian technique

2017 ◽  
Vol 26 (11) ◽  
pp. 1750073 ◽  
Author(s):  
Nahid Soheibi ◽  
Majid Hamzavi ◽  
Mahdi Eshghi ◽  
Sameer M. Ikhdair
Keyword(s):  
Experimental Data ◽  
Ground State ◽  
Potential Model ◽  
Electric Quadrupole ◽  
Numerical Results ◽  
Transition Rates ◽  
Collective Hamiltonian

We calculate the eigenvalues and their corresponding eigenfunctions of the Bohr’s collective Hamiltonian with the help of the modified Pöschl–Teller (MPT) potential model within [Formula: see text]-unstable structure. Our numerical results for the ground state (g.s.) [Formula: see text] and [Formula: see text] band heads, together with the electric quadrupole [Formula: see text] transition rates, are displayed and compared with the available experimental data.

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