SU(3)-symmetry breaking effects and mass splitting in scalar and pseudoscalar D mesons from QCD sum rules

Journal Article · Mon Mar 01 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.054021· OSTI ID:21409853

Hongying, Jin; Jin, Zhang ^[1]; Zhufeng, Zhang ^[2]; Steele, T G ^[3]

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1. Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang (China)
2. Department of Physics, Ningbo University, Ningbo, Zhejiang (China)
3. Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E2 (Canada)

Motivated by the similar mass splitting in light-light and heavy-light J{sup P}=0{sup -} and J{sup P}=0{sup +} mesons, the SU(3)-symmetry breaking effects splitting the masses in the 0{sup -} and 0{sup +} channels of the D meson are analyzed in the framework of QCD sum rules with an underlying cq structure. We take into account operator mixing to obtain an infrared stable operator-product expansion method including complete nonperturbative and perturbative O(m{sub q}) corrections to the correlation function. With the same threshold for both channels, the mass splitting arising from the sum rules has the same behavior as the observed spectrum. In particular, we obtain m{sub D{sub s}}-m{sub D{sub d{approx}}}35 MeV in the 0{sup -} channel and m{sub D{sub d}}-m{sub D{sub s{approx}}}12 MeV in the 0{sup +} channel at a renormalization scale {mu}=1 GeV. The splitting can be attributed to the different roles of mass effects and the parity-dependent ''force'' induced from nonperturbative QCD vacuum. Further analysis shows that due to this parity-dependent force it is natural that the mass gap of the two states in the 0{sup -} channel is larger than the 0{sup +} channel. When we increase the renormalization scale to {mu}=1.3 GeV the splitting remains unchanged which demonstrates a correct scale invariance. Combined with heavy quark effective theory, generalizations to other channels of charmed mesons and b-systems are briefly discussed.

• OSTI ID: 21409853
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevD.81.054021; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
C QUARKS
CORRECTIONS
CORRELATION FUNCTIONS
D MESONS
GEV RANGE 01-10
MASS
PARITY
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SCALE INVARIANCE
SPECTRA
SU-3 GROUPS
SUM RULES
SYMMETRY BREAKING
T QUARKS
BEAUTY PARTICLES
BOSONS
CHARM PARTICLES
CHARMED MESONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GEV RANGE
HADRONS
INVARIANCE PRINCIPLES
LIE GROUPS
MESONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARKS
SU GROUPS
SYMMETRY GROUPS
TOP PARTICLES