New mass formula for octet and decuplet baryons
- Istituto di Fisica dell'Universita and Istituto Nazionale di Fisica Nucleaire, Sezione di Genova (Italy)
The general parametrization method (Phys. Rev. D 40, 2997 (1989)) (an exact consequence of a QCD-like relativistic field theory) is used to parametrize the masses of {bold 8} and 1{bold 0} baryons to second order in flavor breaking. Because at first order in flavor breaking, three-quark contributions to octet masses are very small, we neglect such contributions at second order and derive a corrected'' Gell-Mann--Okubo formula; when written in a way free from electromagnetic corrections, it is 1/2({ital n}+{Xi}{sup 0})+{ital T}=1/4(3{Lambda}+{Sigma}{sup +}) with {ital T}={Xi}{sup *{minus}}{minus}1/2({Omega}+{Sigma}{sup *{minus}}) and {cflx {Sigma}} {sup +}=2{Sigma}{sup +}{minus}{Sigma}{sup 0}+2({ital n}{minus}{ital p}). The two sides of the formula are respectively 1132.4{plus minus}0.8 and 1133.9{plus minus}0.1 MeV.
- OSTI ID:
- 5107005
- Journal Information:
- Physical Review Letters; (United States), Vol. 68:2; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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