A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials

Table 3

Mass spectrum of baryons resonances (in MeV) calculated with the mass formula (22). The column contains our calculations with the parameters of Table 2 and column _[43]Calc shows calculations of Giannini et al. Column 7 indicates the percentage of relative error for our calculations.

Baryon	Status	[42]exp	State	[43]Calc		Percent of relative error for our calculation
	⁢⁢⁢⁢	938	^281/2	938	938	0%
	⁢⁢⁢⁢	1410–1450	^281/2	1448.7	1448.51	2.73%–0.1%
	⁢⁢⁢⁢	1510–1520	^283/2	1543.7	1528.79	1.24%–0.57%
	⁢⁢⁢⁢	1525–1545	^281/2	1543.7	1528.79	0.24%–1.04%
	⁢⁢⁢⁢	1645–1670	^481/2	1658.6	1643.69	0.07%–1.57%
	⁢⁢⁢⁢	1670–1680	^485/2	1658.6	1643.69	1.57%–2.16%
	⁢⁢	1680–1690	^285/2	1651.4	1688.57	0.51%–0.08%
	⁢⁢	1650–1750	^483/2	1658.6	1643.69	0.38%–6.07%
	⁢⁢	1680–1740	^281/2	1795.4	1798.16	7.03%–3.34%
	⁢⁢⁢⁢	1700–1750	^283/2	1651.4	1688.57	0.67%–3.51%
	⁢⁢	1820–1920	^283/2	—	1857.01	2.03%–3.28%
	⁢⁢	1875–1935	^283/2	—	1966.7	4.89%–1.63%
	⁢⁢⁢⁢	2100–2200	^287/2	—	2186.37	4.11%–0.61%
	⁢⁢⁢⁢	2200–2300	^289/2	—	2237.44	1.7%–2.72%
	⁢⁢⁢	2200–2350	^489/2	—	2301.27	4.6%–2.07%
	⁢⁢	2550–2750	^2811/2	—	2626.25	2.99%–4.5%
Δ	⁢⁢⁢⁢	1230–1234	^4103/2	1232	1232.37	0.19%–0.13%
Δ	⁢⁢	1500–1700	^4103/2	1683	1647.2	9.81%–3.1%
Δ	⁢⁢⁢⁢	1600–1660	^2101/2	1722.8	1700.01	6.25%–2.41%
Δ	⁢⁢⁢⁢	1670–1750	^2103/2	1722.8	1700.01	1.79%–2.85%
Δ	⁢⁢⁢⁢	1855–1910	^4105/2	1945.4	1865.27	0.55%–2.34%
Δ	⁢⁢⁢⁢	1860–1910	^4101/2	1945.4	1865.27	0.28%–2.34%
Δ	⁢⁢	1900–1970	^4103/2	2089.4	1974.7	3.93%–0.23%
Δ	⁢⁢	1900–2000	^2105/2	—	1918.6	0.97%–4.07%
Δ	⁢⁢⁢⁢	1915–1950	^4107/2	1945.4	1865.27	2.59%–4.34%
Δ	⁢⁢⁢⁢	2300–2500	^41011/2	—	2303.79	0.16%–7.84%

Existence is certain, and properties are at least fairly well explored. Existence ranges from very likely to certain, but further confirmation is desirable and/or quantum numbers, branching fractions, and so forth are not well determined.