XY Z-SU3 breakings from Laplace sum rules at higher orders

被引：19

作者：

Albuquerque, R. ^{[1
]}

Narison, S. ^{[2
]}

Rabetiarivony, D. ^{[3
]}

Randriamanatrika, G. ^{[3
]}

机构：

[1] Univ Estado Rio De Janeiro, UERJ, Fac Technol, FAT, Rio De Janeiro, Brazil

[2] CNRS, IN2P3, LUPM, Case 070,Pl Eugene Bataillon, F-34095 Montpellier, France

[3] Univ Ankatso, Inst High Energy Phys Madagascar iHEPMAD, Antananarivo 101, Madagascar

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2018年 / 33卷 / 16期

关键词：

QCD spectral sum rules; perturbative and nonpertubative calculations; exotic mesons masses and decay constants; CHIRAL SYMMETRY-BREAKING; 0(++) HEAVY 4-QUARK; N-C QCD; GLUON CONDENSATE; CURRENT CORRELATORS; MASS-SPLITTINGS; DECAY CONSTANTS; QUARK MASSES; PRECISE FD(S); B(S); RESONANCE PHYSICS;

D O I：

10.1142/S0217751X18500823

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We present new compact integrated expressions of SU3 breaking corrections to QCD spectral functions of heavy light molecules and four-quark XYZ-like states at lowest order (LO) of perturbative (PT) QCD and up to d = 8 condensates of the Operator Product Expansion (OPE). Including next-to-next-to-leading order (N2LO) PT corrections in the chiral limit and next-to-leading order (NLO) SU3 PT corrections, which we have estimated by assuming the factorization of the four-quark spectral functions, we improve previous LO results for the XYZ-like masses and decay constants from QCD spectral sum rules (QSSR). Systematic errors are estimated from a geometric growth of the higher order PT corrections and from some partially known d = 8 nonperturbative contributions. Our optimal results, based on stability criteria, are summarized in Tables 18-21 while the 0(++) and 1(++) channels are compared with some existing LO results in Table 22. One can note that, in most channels, the SU3 corrections on the meson masses are tiny: <= 10% (respectively <= 3%) for the c (respectively b)-quark channel but can be large for the couplings (<= 20%). Within the lowest dimension currents, most of the 0(++) and 1(++) states are below the physical thresholds while our predictions cannot discriminate a molecule from a four-quark state. A comparison with the masses of some experimental candidates indicates that the 0(++) X(4500) might have a large (D) over bar (S0)*D-S0* molecule component while an interpretation of the 0(++) candidates as four quark ground states is not supported by our findings. The 1(++) X(4147) and X(4273) are compatible with the (D) over bar (S)*D-S, (D) over bar (S0)*D-S1 molecules and/or with the axial-vector A(o) four-quark ground state. Our results for the 0(-+/-), 1(-+/-) and for different beauty states can be tested in the future data. Finally, we revisit our previous estimates(1) for the (D) over bar (0)*D-0* and (D) over bar (0)*D-1 and present new results for the (D) over bar D-1(1).

引用

页数：58

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