Ground-state and low-lying positive-parity excited baryons containing u, d, s, c and b quarks in a consistent quark model with chromodynamics

1986 ◽  
Vol 94 (3) ◽  
pp. 219-248 ◽  
Author(s):  
C. S. Kalman
Keyword(s):  
Quark Model ◽  
Ground State ◽  
Positive Parity ◽  
B Quarks

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

Spin-orbit splittings in 13C and 13N with the nature of the Hoyle state in 12C

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2373-2382 ◽  
Author(s):  
Taiichi YAMADA ◽  
Hisashi HORIUCHI ◽  
Peter SCHUCK
Keyword(s):  
Ground State ◽  
Positive Parity ◽  
Spin Orbit ◽  
Hoyle State ◽  
Valence Nucleon

The spin-orbit splittings of 13 C and 13 N corresponding to the ground state and second 0+ state (Hoyle state) in 12 C are investigated within a 12 C +N model. The agreement of the calculated results with experiments suggests that the [Formula: see text] and [Formula: see text] states around Ex = 9 ~ 10 MeV in 13 C and 13 N can be interpreted as the spin-orbit partner with the [Formula: see text] configuration. We also discuss the positive parity states (including [Formula: see text]) of 13 C and 13 N around the [Formula: see text] threshold, indicating to have the configuration of the Hoyle state in 12 C plus a valence nucleon in sd shell.

scholarly journals STRUCTURE OF LIGHT AND HEAVY PENTAQUARKS

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1797-1802 ◽  
Author(s):  
FL. STANCU
Keyword(s):  
Variational Method ◽  
Hyperfine Interaction ◽  
Quark Model ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Positive Parity ◽  
Model Based ◽  
Quantum Numbers ◽  
The Masses

Light and heavy pentaquarks are described within a constituent quark model based on a spin-flavor hyperfine interaction. In this model the lowest state acquires positive parity. The masses of the light antidecuplet members are calculated dynamically using a variational method. It is shown that the octet and antidecuplet states with the same quantum numbers mix ideally due to SU (3)F breaking. Masses of the charmed antisextet pentaquarks are predicted within the same model.

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 MASSES OF LIGHT MESONS IN THE RELATIVISTIC QUARK MODEL

2005 ◽  
Vol 20 (25) ◽  
pp. 1887-1893 ◽  
Author(s):  
D. EBERT ◽  
R. N. FAUSTOV ◽  
V. O. GALKIN
Keyword(s):  
Quark Model ◽  
Ground State ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Relativistic Quark Model ◽  
S Wave ◽  
Confining Potential ◽  
Relativistic Formula ◽  
The Masses ◽  
S Quarks

The masses of the S-wave mesons consisting of the light (u, d, s) quarks are calculated within the constituent quark model. The relativistic Schrödinger-like equation with a confining potential is numerically solved for the complete relativistic [Formula: see text] potential including both spin-independent and spin-dependent terms. The obtained masses of the ground state π, ρ, K, K* and ϕ mesons and their first radial excitations are in a reasonably good overall agreement with experimental data.

NON-LEPTONIC WEAK TRANSITIONS WITH ΔI = 1/2 RULE IN DIQUARK-QUARK MODEL USING THE PAULI-GÜRSEY SYMMETRY

1994 ◽  
Vol 09 (12) ◽  
pp. 1059-1069 ◽  
Author(s):  
K. SUZUKI ◽  
H. TOKI
Keyword(s):  
Quark Model ◽  
Ground State ◽  
Wave Functions ◽  
P Wave ◽  
Standard Process ◽  
Weak Process ◽  
Pion Emission ◽  
Spin Singlet ◽  
Weak Transitions

We study the non-leptonic weak transitions of ground state baryons in diquark-quark model. These weak transitions exhibit the ΔI = 1/2 rule, which is hard to account for in the standard weak process. If the diquark correlations are strong among flavor-antitriplet and spin-singlet pairs, we can make the weak transitions among diquarks followed by pion emission much stronger than the standard process. We estimate all the non-leptonic weak transitions of ground state baryons by assuming the Pauli-Gürsey symmetry together with the SU(6) wave functions. We can account for all the P-wave transition strengths quantitatively and hence the ΔI = 1/2 rule.

scholarly journals MASS SPECTRUM OF THE JP=1/2- AND 3/2- PENTAQUARK ANTIDECUPLETS IN THE PERTURBATIVE CHIRAL QUARK MODEL

2005 ◽  
Vol 14 (07) ◽  
pp. 995-1015 ◽  
Author(s):  
T. INOUE ◽  
V. E. LYUBOVITSKIJ ◽  
TH. GUTSCHE ◽  
AMAND FAESSLER
Keyword(s):  
Mass Spectrum ◽  
Quark Model ◽  
Single Particle ◽  
Ground State ◽  
Bound State ◽  
Wave Functions ◽  
Chiral Quark Model ◽  
Confining Potential ◽  
Full Mass Spectrum ◽  
Basic Configuration

We study the recently discovered Θ+ baryon in the context of the perturbative chiral quark model. The basic configuration of the Θ+ is a pentaquark bound state, where the single particle wave functions are the ground state solutions of a confining potential. We classify the resulting pentaquark multiplets as the JP=1/2- and 3/2- flavor SU (3) antidecuplet. The full mass spectrum of the multiplets is determined by including the meson and gluon cloud contributions, which induce flavor SU (3) breaking. The resulting 3/2- antidecuplet is about 185 MeV heavier than the 1/2- one, mainly because of the semi-perturbative gluon effects. We assign the observed Θ+ baryon as a member of the 1/2- antidecuplet and discuss in particular its relation to the recent experimental signal for a Ξ-- baryon.

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