Equality of e + e − production amplitudes for scalar-vector and pseudoscalar-axial heavy meson-antimeson pairs

Voloshin, M. B.

doi:10.1103/PhysRevD.97.034008

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

Abstract

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.

Authors:: Voloshin, M. B.

Publication Date:: Thu Feb 08 00:00:00 EST 2018

Research Org.:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1419914

Alternate Identifier(s):: OSTI ID: 1503897

Grant/Contract Number:: SC0011842

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 3; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; particle production

Citation Formats


                    Voloshin, M. B. Equality of e + e − production amplitudes for scalar-vector and pseudoscalar-axial heavy meson-antimeson pairs.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.034008.

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                    Voloshin, M. B. Equality of e + e − production amplitudes for scalar-vector and pseudoscalar-axial heavy meson-antimeson pairs.  United States.  https://doi.org/10.1103/PhysRevD.97.034008

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                    Voloshin, M. B. Thu .  
"Equality of e + e − production amplitudes for scalar-vector and pseudoscalar-axial heavy meson-antimeson pairs".  United States.  https://doi.org/10.1103/PhysRevD.97.034008.

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@article{osti_1419914,

  title        = {Equality of e + e − production amplitudes for scalar-vector and pseudoscalar-axial heavy meson-antimeson pairs},

  author       = {Voloshin, M. B.},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevD.97.034008},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 97,

  place        = {United States},

  year         = {Thu Feb 08 00:00:00 EST 2018},

  month        = {Thu Feb 08 00:00:00 EST 2018}

}

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