We present the masses of
Article funded by SCOAP^{3}
The evaluation of the static and dynamic properties of the hadrons has always been a major concern for nuclear and particle physicists. The new experimental observations in the field of light baryons, heavy baryons, and exotic states have been determined very recently. Different research groups have provided light baryon resonances with increasing confidence levels [
The combination of three confined light quarks with the flavors up, down, and strange provides a basis for the study of light baryons; it belongs to the
We study the
We determined the spectra of
Spectroscopy is a powerful tool to observe the constituents of a compound system in order to study their nature and interactions. Hadron spectroscopy has provided many unexpected results. In our previous work, we studied heavy baryon spectra for singly, doubly, and triply heavy baryons excited states, starting from
In the present study, we predict the radial and orbital excited states of
The Hamiltonian of the baryonic system in the hCQM is then expressed as
where
where
For computing the mass difference between different degenerate baryonic states, we consider the spindependent part of the usual one gluon exchange potential. The spindependent part,
The coefficient of the spindependent terms can be written as
The spinorbit and tensor terms describe the fine structure of the states, while the spinspin term gives the spin singlet triplet splittings.
List of the
state  status  

1/2^{+}  939  ****  
1/2^{+}  14201470  ****  
1/2^{+}  16801740  ***  
1/2^{+}  2100  *  
1/2^{−}  15251545  ****  
3/2^{−}  15151525  ****  
1/2^{−}  18801910  **  
5/2^{+}  16801690  ****  
3/2^{−}  18201920  ***  
5/2^{+}  19502150  **  
3/2^{+}  17001750  ****  
1/2^{+}  −  **  
7/2^{+}  19502100  **  
7/2^{−}  21002200  ****  
9/2^{−}  22502320  ****  
5/2^{−}  −  ** 
Predicted excited state masses of
state  mass  exp. [ 
[ 
[ 
[ 
[ 
[ 
[ 
[ 
[ 
[ 
[ 


1 
1/2^{+}  939  938  938  938  939  938  938  939  938  960  
2 
1/2^{+}  1425  14201470  1444  1448  1511  1463  1467  1440  1492  1430  
3 
1/2^{+}  1721  16801740  1832  1795  1776  1752  1710  1710  1763  1710  
4 
1/2^{+}  2089  2100  2100  
5 
1/2^{+}  2515  
1 
1/2^{−}  1565  15251545  1567  1543  1537  1524  1535  1511  1501  1490  1460  
1 
3/2^{−}  1535  15151525  1567  1543  1537  1524  1536  1520  1511  1517  1535  1495 
1 
5/2^{−}  1495  1630  
2 
1/2^{−}  1898  18801910  1888  1650  1895  
2 
3/2^{−}  1865  18201920  1700  1880  
2 
5/2^{−}  1820  1675  
3 
1/2^{−}  2288  2090  
3 
3/2^{−}  2251  2150  2080  2150  
3 
5/2^{−}  2202  
4 
1/2^{−}  2741  
4 
3/2^{−}  2697  
4 
5/2^{−}  2628  
5 
1/2^{−}  3242  
5 
3/2^{−}  3192  
5 
5/2^{−}  3126  
1 
1/2^{+}  1849  18351910  1890  1870  
1 
3/2^{+}  1815  17001750  1648  1735  1690  
1 
5/2^{+}  1769  16801690  1799  1680  1704  1735  1689  
1 
7/2^{+}  1712  
2 
1/2^{+}  2244  
2 
3/2^{+}  2204  
2 
5/2^{+}  2150  19502150  2090  
2 
7/2^{+}  2083  19502100  2060  
3 
1/2^{+}  2694  
3 
3/2^{+}  2648  
3 
5/2^{+}  2586  
3 
7/2^{+}  2510  
4 
1/2^{+}  3197  
4 
3/2^{+}  3144  
4 
5/2^{+}  3074  
4 
7/2^{+}  2986  
1 
3/2^{}  2167  
1 
5/2^{}  2112  
1 
7/2^{}  2045  21002200  2190  2180  
1 
9/2^{}  1963  
2 
3/2^{}  2614  
2 
5/2^{}  2551  
2 
7/2^{}  2473  
2 
9/2^{}  2379  22502320  2280 
The states,
The assigned
The other two baryon resonances,
For the greater excited negative parity resonances,
We do not find any results which gives the masses for higher negative and positive parity excited states (which can be determined as 4
(color online) Light baryon classification. Squares denote our predicted masses with particular state, and the bars denote experimental available resonances.
Another important property of hadronic spectroscopy is the Regge trajectory. The Regge trajectories are useful for spectral as well as nonspectral purposes. The spin and mass of the hadrons are related in these plots. Using the obtained results of
where
(color online) Regge trajectories of
The magnetic moment of the nucleon is also an important hadronic property because it is an important input for electromagnetic transitions, form factor, and radiative decays of baryons. Here, we determined the magnetic moment of
where
where
Magnetic moment (in nuclear magneton) for
wavefunction  our  exp.  Ref. [ 
Ref. [ 
Ref. [ 


−1.997  −1.913  −2.07  −1.97  −1.69 
The magnetic moment is also carried out by orbital excitation. The final spin flavor wave function from the quark model for the nucleons with
The value of the mixing angle
The wave functions of nucleons will be bilinear combinations of spin, flavor, and orbital wave functions and then the product of two Jacobi coordinates of the threequark system. S. Capstick et al. had already determined the decay widths of light baryons in their work [
where,
1.
is 62%, which is in the range of PDG 55%−75% with
2.
is 86%, which is higher than the range of PDG 55%−65% and 25%−65% of Ref. [63], with
3.
is 16%, which is lower than the range of PDG 32%−52%, with
4.
is 11%, which is in the range of PDG 8%−14% with
5.
is 118%, which is higher than the range of PDG 60%−70% with
● We compared 14 experimentally known states with our prediction. We also plotted their masses against their
● The radial excited states (2
● It can be concluded that the mass spectra of hadrons can be conveniently described through Regge trajectories. These trajectories will aid in identifying the quantum number of particular resonance states. From
● The magnetic moment was calculated for
● Nucleons
● We successfully studied the mass spectra of