魏科偉, 于鳳軍, 張楨君,2

(1.安陽師范學(xué)院 物理與電氣工程學(xué)院 河南 安陽 455000；2.中國(guó)科學(xué)院 云南天文臺(tái) 云南 昆明 650011)

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基態(tài)張量介子及其軌道激發(fā)態(tài)研究

魏科偉1, 于鳳軍1, 張楨君1,2

(1.安陽師范學(xué)院 物理與電氣工程學(xué)院 河南 安陽 455000；2.中國(guó)科學(xué)院 云南天文臺(tái) 云南 昆明 650011)

張量介子; 質(zhì)量譜; Regge唯象學(xué)

0 引言

表1 軌道激發(fā)態(tài)13F4和13H6九重態(tài)Tab.1 The orbital excited 13F4 and 13H6 nonets

目前格點(diǎn)QCD在處理激發(fā)態(tài)時(shí)仍然存在較大誤差和很多困難[3], 唯象模型通常被用來解決涉及非微擾效應(yīng)的問題.Regge唯象學(xué)起源于在復(fù)角動(dòng)量空間分析散射振幅的性質(zhì)[4], 在研究強(qiáng)子質(zhì)量譜方面簡(jiǎn)潔有效, 一直得到廣泛的重視和應(yīng)用[5-19].

1 Regge唯象

Regge唯象學(xué)的一個(gè)重要特點(diǎn)就是通過Regge軌跡，把粒子的總角動(dòng)量J和粒子質(zhì)量的平方M2聯(lián)系起來,Regge軌跡由一系列內(nèi)部量子數(shù)和介子的J的奇偶 (對(duì)于重子, 為總角動(dòng)量J-1/2的奇偶)來決定[20]. 對(duì)于介子,Regge軌跡通常參數(shù)化為

(1)

Regge截距相加性關(guān)系式:

(2)

Regge斜率倒數(shù)相加性關(guān)系式:

(3)

此外有一個(gè)從t-道極點(diǎn)的留數(shù)乘積得到的Regge斜率相乘的關(guān)系式[23-24],

(4)

在先前的工作中,已經(jīng)證實(shí)了斜率相乘性關(guān)系式(4)不能準(zhǔn)確地描述當(dāng)前的介子譜, 同時(shí)斜率倒數(shù)相加性關(guān)系式(3)可以很好地描述介子譜[18], 本文計(jì)算中將舍去(4)式.

當(dāng)組分夸克的質(zhì)量mi

(5)

當(dāng)mi

(6)

可以得到同一N2S+1LJ多重態(tài)中6個(gè)介子質(zhì)量之間的關(guān)系,

(7)

2 計(jì)算結(jié)果

(7)式中, 當(dāng)i=n,j=s,k=b時(shí), (這里和下文中,n代表u或者d味夸克), 可得

(8)

表2 13P2多重態(tài)中介子的質(zhì)量Tab.t. MeV

2.2 張量13P2多重態(tài)各成員的Regge斜率和Regge截距

(9)

(10)

表3 13P2多重態(tài)中各成員Regge軌跡斜率和截距Tab.3 The Regge slopes and intercepts (0) of the 13P2 multiplet

2.3 軌道激發(fā)態(tài)13F4，13H6，13K8介子九重態(tài)的質(zhì)量

(11)

表4 軌道激發(fā)態(tài)13F4,13H6,13K8九重態(tài)的質(zhì)量Tab.4 Masses of the orbital excited 13F4, 13H6 and 13K8 nonets MeV

3 討論

3) 在表3中, 列出了求得的基態(tài)13P2多重態(tài)中不同夸克組成的介子的Regge軌跡斜率和截距. Regge截距和斜率參數(shù)是強(qiáng)子動(dòng)力學(xué)重要的基本參數(shù), 對(duì)譜學(xué)和非譜學(xué)的研究都有重要的意義[19,21,34], 本文用這些參數(shù)計(jì)算了13P2的軌道激發(fā)態(tài)13F4,13H6,13K8九重態(tài)的質(zhì)量.

4 小結(jié)

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Study of Tensor Mesons and Its Orbital Excited States

WEI Ke-wei1, YU Feng-jun1, ZHANG Zhen-jun1,2

(1.CollegeofPhysicsandElectricalEngineering,AnyangNormalUniversity,Anyang455000,China;2.YunnanObservatoryofChineseAcademyofSciences,Kunming650011,China)

tensor meson; mass spectrum; Regge phenomenology

2014-10-13

國(guó)家自然科學(xué)基金資助項(xiàng)目，編號(hào)U1204115；河南省教育廳科學(xué)技術(shù)研究重點(diǎn)項(xiàng)目，編號(hào)12B140001.

魏科偉(1980-)，男，河南駐馬店人，副教授，博士，主要從事高能物理理論研究，E-mail:weikw@hotmail.com.

TP183

A

1671-6841(2015)01-0087-06

10.3969/j.issn.1671-6841.2015.01.019