文献详情
Baryon fields with U-L(3) x U-R(3) chiral symmetry. V. Pion-nucleon and kaon-nucleon Sigma terms
文献类型期刊
作者V. Dmitrašinović[1];Chen HuaXing[2];Atsushi Hosaka[3]
机构
通讯作者V. Dmitrašinović;
来源信息年:2016  卷:93  期:6  页码范围:065208  
期刊信息PHYSICAL REVIEW C影响因子和分区  ISSN:2469-9985
增刊正刊
摘要We have previously calculated the pion-nucleon Sigma(pi N) term in the chiral mixing approach with u, d flavors only, and found the lower bound Sigma(pi N) >= (1 + 16/3 sin(2) theta)3/2 (m(u)(0) + m(d)(0)), where m(u)(0),m(d)(0) are the current quark masses, and theta is the mixing angle of the [(1/2,0) circle plus (0, 1/2)] and the [(1, 1/2) circle plus (1/2, 1)] chiral multiplets. This mixing angle can be calculated as sin(2) theta = 3/8 (g(A)((0)) + g(A)((3))), where g(A)((0)),g(A)((3)), are the flavor-singlet and the isovector axial couplings. With presently accepted values of current quark masses, this leads to Sigma(pi N) >= 58.0 +/- 4.5(-6.5)(+11.4) MeV, which is in agreement with the values extracted from experiments, and substantially higher than most previous two-flavor calculations. The causes of this enhancement are: (1) the large, (16/3 similar or equal to 5.3), purely SUL(2) x SUR(2) algebraic factor; (2) the admixture of the [(1, 1/2) circle plus (1/2,1)] chiral multiplet component in the nucleon, whose presence has been known for some time, but that had not been properly taken into account, yet. We have now extended these calculations of Sigma(pi N) to three light flavors, i.e., to SUL(3) x SUR(3) multiplet mixing. Phenomenology of chiral SUL(3) x SUR(3) multiplet mixing demands the presence of three chiral SUL(3) x SUR(3) multiplets, viz. [(6,3) circle plus (3,6)], [(3, (3) over bar) circle plus ((3) over bar ,3)], and [((3) over bar ,3) circle plus (3, (3) over bar)], in order to successfully reproduce the baryons' flavor-octet and flavor-singlet axial current coupling constants, as well as the baryon anomalous magnetic moments. Here we use these previously obtained results, together with known constraints on the explicit chiral symmetry breaking in baryons to calculate the Sigma(pi N) term, but find no change of Sigma(pi N) from the above successful two-flavor result. The physical significance of these results lies in the fact that they show no need for q4 (q) over bar components, and in particular, no need for an s (s) over bar component in the nucleon, in order to explain the large "observed" Sigma(pi N) value. We also predict the kaon-nucleon s term Sigma(KN) that is experimentally unknown, but may be calculable in lattice QCD.
收录情况SCIE(WOS:000378200500004)  
所属部门物理科学与核能工程学院
DOI10.1103/PhysRevC.93.065208
学科物理:核物理
百度学术Baryon fields with U-L(3) x U-R(3) chiral symmetry. V. Pion-nucleon and kaon-nucleon Sigma terms
语言外文
被引频次1
人气指数97
浏览次数97
基金National Natural Science Foundation of China [11475015]; Serbian Ministry of Science and Technological Development [OI 171037, III 41011]; Japan Society for the Promotion of Science (JSPS) [26400273]
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