SU(3) covariant chiral effective theory and corrections to the octet baryon masses

doi:10.3969/j.issn.1000-5641.2022.04.010

Abstract

Abstract:

In this paper, corrections to the octet baryon masses based on the strange quark contribution are calculated using the SU(3) covariant chiral effective theory. We find that the items violating chiral power counting rules are local and can be subtracted by local counterterms which leads to extended minimal subtraction ${(\text{E}}\overline {{\text{MS}}})$ scheme. In addition to the chiral contribution, relativistic correction items are also retained, which is meaningful for accurately calculating the corrections to baryon masses and analytical extrapolation.

Key words: covariant chiral effective field theory, octet baryons, chiral power counting rules, ${\text{E}}\overline {{\text{MS}}} $scheme

CLC Number:

O413.3

Zhou LIU, Jifeng YANG. SU(3) covariant chiral effective theory and corrections to the octet baryon masses[J]. Journal of East China Normal University(Natural Science), 2022, 2022(4): 103-113.

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$\beta _{B\phi }^{\rm{a}}$	$ K $	$ \eta $
$ N $	$ 2\left({b}_{1} + 2{b}_{2}\right) $	$ 8{b}_{2}/3 $
${\Sigma }$	$ 2\left({b}_{1} + {b}_{2}\right) $	0
${\Lambda }$	$ 10\left({b}_{1} + {b}_{2}\right)/3 $	$ 16\left({b}_{1} + {b}_{2}\right)/9 $
${\Xi }$	$ 2\left(2{b}_{1} + {b}_{2}\right) $	$ 8{b}_{1}/3 $

$\beta _{B\phi }^{\rm{b}}$	$ K $	$ \eta $
$N$	$ 8\sigma $	$ 8\sigma /3 $
${\Sigma } $
${\Lambda } $
${\Xi } $

$ {\gamma _{B\phi }} $	$ K $	$ \eta $
$ N $	$ (5{D}^{2}-6DF + 9{F}^{2})/3 $	$ {\left(D-\text{3}F\right)}^{2}/6 $
${\Sigma }$	$ 2\left({D}^{2} + {F}^{2}\right) $	$ 2{D}^{2}/3 $
${\Lambda }$	$ 2\left({D}^{2}\text{ + }\text{9}{F}^{\text{2}}\right)/3 $	$ 2{D}^{\text{2}}/3 $
${\Xi }$	$ (5{D}^{2} + 6DF + 9{F}^{2})/3 $	$ {\left(D + 3F\right)}^{2}/6 $

$\beta _{B\phi }^{\rm{d}}$	$ K $	$ \eta $
$ N $	$ -2{\left(D + 3F\right)}^{2}({b}_{1} + {b}_{2})/9 $	$ -{\left(D-3F\right)}^{2}{b}_{2}/3 $
${\Sigma }$	$ -2{\left(D + F\right)}^{2}{b}_{1}-2{\left(D-F\right)}^{2}{b}_{2} $	0
${\Lambda }$	$ -2{\left(D-3F\right)}^{2}{b}_{1}/3-2{\left(D + 3F\right)}^{2}{b}_{2}/3 $	$ -8{D}^{2}({b}_{1} + {b}_{2})/9 $
${\Xi }$	$ -2{\left(D-3F\right)}^{2}({b}_{1} + {b}_{2})/9 $	$ -{\left(D + 3F\right)}^{2}{b}_{1}/3 $

$ {\tilde \gamma _{B\phi }} $	K	$ \eta $
$ N $	$ {{\cal C}}^{2}/2 $	0
${\Sigma }$	$ 5{{\cal C}}^{2}/3 $	$ {{\cal C}}^{2}/2 $
${\Lambda }$	$ {{\cal C}}^{2} $	0
${\Xi }$	$ 3{{\cal C}}^{2}/2 $	$ {{\cal C}}^{2}/2 $