Equality of $e^{+}{e}^{-}$ production amplitudes for scalar-vector and pseudoscalar-axial heavy meson-antimeson pairs

Journal Article · Thu Feb 08 00:00:00 EST 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.034008· OSTI ID:1419914

Voloshin, M. B.

The production of heavy meson-antimeson pairs of the type $SV$ and $PA$ in $${e}^{+}{e}^{{-}}$$ annihilation is considered, with $$P$$ and $$V$$ being the ground-state $${J}^{P}={0}^{{-}}$$ and $${J}^{P}={1}^{{-}}$$ (anti)mesons from the $$(1/2{)}^{{-}}$$ doublet and $$S$$ and $$A$$ standing for the excited $${J}^{P}={0}^{+}$$ and $${J}^{P}={1}^{+}$$ (anti)mesons from the $$(1/2{)}^{+}$$ doublet. It is argued that the production amplitudes in these two channels should be equal up to a higher (than one) order in the heavy quark mass ($${\mathrm{{\Lambda}}}_{\mathrm{QCD}}/{M}_{Q}$$) expansion, $$A({e}^{+}{e}^{{-}}{\rightarrow}S\overline{V})=A({e}^{+}{e}^{{-}}{\rightarrow}A\overline{P})$$, including both the $$S$$-wave and the $$D$$-wave amplitudes. Given that the $SV$ and $PA$ thresholds are extremely close, the production cross section in both channels should be the same to a high degree of accuracy. In practice, this behavior can be studied for the processes $${e}^{+}{e}^{{-}}{\rightarrow}{D}_{s0}(2317){\overline{D}}_{s}^{*}+\mathrm{c}.\mathrm{c}.$$ and $${e}^{+}{e}^{{-}}{\rightarrow}{D}_{s1}(2460){\overline{D}}_{s}+\mathrm{c}.\mathrm{c}.$$ in the charm sector and $${e}^{+}{e}^{{-}}{\rightarrow}{B}_{s0}{\overline{B}}_{s}^{*}+\mathrm{c}.\mathrm{c}.$$ and $${e}^{+}{e}^{{-}}{\rightarrow}{B}_{s1}{\overline{B}}_{s}+\mathrm{c}.\mathrm{c}.$$ in the $$B$$ sector.

• Research Organization: Univ. of Minnesota, Minneapolis, MN (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0011842
• OSTI ID: 1419914
• Alternate ID(s): OSTI ID: 1503897
• Journal Information: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 3; ISSN 2470-0010
• Publisher: American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
particle production