SU(3)协变手征有效理论与八重态重子质量修正

doi:10.3969/j.issn.1000-5641.2022.04.010

华东师范大学学报（自然科学版） ›› 2022, Vol. 2022 ›› Issue (4): 103-113.doi: 10.3969/j.issn.1000-5641.2022.04.010

SU(3)协变手征有效理论与八重态重子质量修正

刘舟, 杨继锋*()

华东师范大学物理与电子科学学院, 上海　200241

收稿日期:2021-04-20 出版日期:2022-07-25 发布日期:2022-07-19
通讯作者: 杨继锋 E-mail:jfyang66@126.com
基金资助:
国家自然科学基金 (11435005)

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

Zhou LIU, Jifeng YANG*()

School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China

Received:2021-04-20 Online:2022-07-25 Published:2022-07-19
Contact: Jifeng YANG E-mail:jfyang66@126.com

摘要/Abstract

摘要：

在SU(3)协变手征有效理论框架下, 计算了基于奇异夸克贡献的八重态、十重态重子对八重态重子质量的一圈图修正; 发现破坏手征幂律规则的都是定域项, 可通过定域抵消项减除, 从而指向一个更为简洁的减除方案? 扩展的极小减除(Extended Minimal Subtraction, ${\text{E}}\overline {{\text{MS}}} $ )方案; 除了手征贡献, 计算还保留了相对论修正项. 这对精确计算重子质量的修正有价值, 并对解析外推有重要贡献.

关键词: 协变手征有效场论, 八重态重子, 手征幂律规则, ${\text{E}}\overline {{\text{MS}}} $方案

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

中图分类号:

O413.3

刘舟, 杨继锋. SU(3)协变手征有效理论与八重态重子质量修正[J]. 华东师范大学学报（自然科学版）, 2022, 2022(4): 103-113.

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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参考文献 15

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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 $

SU(3)协变手征有效理论与八重态重子质量修正

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

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$\tilde \beta _{B\phi }^{\rm{b}}$	$ K $	$ \eta $
$ N $	$ {\mathrm{c}{\cal C}}^{2}/3 $	0
${\Sigma }$	$ 4{\mathrm{c}{\cal C}}^{2}/9 $	$ {\mathrm{c}{\cal C}}^{2}/3 $
${\Lambda }$	$ 4{\mathrm{c}{\cal C}}^{2}/3 $	0
${\Xi }$	$ 7{\mathrm{c}{\cal C}}^{2}/3 $	$ 2{\mathrm{c}{\cal C}}^{2}/3 $