${{\boldsymbol \rho}{(1450)}}$ MASS

RVUE

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

$1342.31$ $\pm46.62$

RVUE

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

$1373.83$ $\pm11.37$

RVUE

${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$

$1429$ $\pm41$

20K

⁴

BABR

${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$

$1350$ $\pm20$ ${}^{+20}_{-30}$

63.5k

⁵

ABRAMOWICZ

2012

ZEUS

${{\mathit e}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit p}}$

$1493$ $\pm15$

⁶

2012

BABR

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \gamma}}$

$1446$ $\pm7$ $\pm28$

5.4M

⁷ ^{, 8}

FUJIKAWA

2008

BELL

${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$

$1328$ $\pm15$

⁹

SCHAEL

2005

ALEP

${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$

$1406$ $\pm15$

87k

⁷ ^{, 10}

ANDERSON

2000

CLE2

${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$

$\sim{}\text{ 1368}$

¹¹

1999

CBAR

0.0 ${{\overline{\mathit p}}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{-}}{{\mathit p}}$

$1348$ $\pm33$

1998

OBLX

$0.05 - 0.405$ ${{\overline{\mathit n}}}$ ${{\mathit p}}$ $\rightarrow$ 2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

$1411$ $\pm14$

¹²

CBAR

${{\overline{\mathit p}}}$ ${{\mathit n}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$

$1370$ ${}^{+90}_{-70}$

ACHASOV

RVUE

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

$1359$ $\pm40$

¹⁰

OBLX

0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$

$1282$ $\pm37$

OBLX

0.05 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$

$1424$ $\pm25$

BISELLO

DM2

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

$1265.5$ $\pm75.3$

DUBNICKA

RVUE

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

$1292$ $\pm17$

¹³

KURDADZE

1983

OLYA

$0.64 - 1.4$ ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

¹ Applies the Unitary $\&$ Analytic Model of the pion electromagnetic form factor of DUBNICKA 2010 to analyze the data of LEES 2012G and ABLIKIM 2016C.

² Applies the Unitary $\&$ Analytic Model of the pion electromagnetic form factor of DUBNICKA 2010 to analyze the data of ACHASOV 2006 , AKHMETSHIN 2007 , AUBERT 2009AS, and AMBROSINO 2011A.

³ Applies the Unitary $\&$ Analytic Model of the pion electromagnetic form factor of DUBNICKA 2010 to analyze the data of FUJIKAWA 2008 .

⁴ From a Dalitz plot analysis in an isobar model with ${{\mathit \rho}{(1450)}}$ and ${{\mathit \rho}{(1700)}}$ masses and widths floating.

⁵ Using the KUHN 1990 parametrization of the pion form factor, neglecting ${{\mathit \rho}}−{{\mathit \omega}}$ interference.

⁶ Using the GOUNARIS 1968 parametrization of the pion form factor leaving the masses and widths of the ${{\mathit \rho}{(1450)}}$, ${{\mathit \rho}{(1700)}}$, and ${{\mathit \rho}{(2150)}}$ resonances as free parameters of the fit.

⁷ From the GOUNARIS 1968 parametrization of the pion form factor.

⁸ $\vert \mathit F_{{{\mathit \pi}}}(0)\vert ^2$ fixed to 1.

⁹ From the combined fit of the ${{\mathit \tau}^{-}}$ data from ANDERSON 2000A and SCHAEL 2005C and ${{\mathit e}^{+}}{{\mathit e}^{-}}$ data from the compilation of BARKOV 1985 , AKHMETSHIN 2004 , and ALOISIO 2005 . ${{\mathit \rho}{(1700)}}$ mass and width fixed at 1713 MeV and 235 MeV, respectively. Supersedes BARATE 1997M.

¹⁰ ${{\mathit \rho}{(1700)}}$ mass and width fixed at 1700 MeV and 235 MeV, respectively.

¹¹ ${{\mathit \rho}{(1700)}}$ mass and width fixed at 1780 MeV and 275 MeV respectively.

¹² T-matrix pole.

¹³ Using for ${{\mathit \rho}{(1700)}}$ mass and width $1600$ $\pm20$ and $300$ $\pm10$ MeV respectively.

References:

2017A

IJMP A32 1750154

The Mass and Width Differences of the Neutral and Charged ${{\mathit \rho}{(770)}}$, ${{\mathit \rho}{(1450 )}}$ and ${{\mathit \rho}{(1700)}}$ Mesons from ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ and ${{\mathit \nu}}{{\mathit \tau}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ Processes

PR D96 113004

What are the Correct ${{\mathit \rho}{(770)}^{0}}$ Meson Mass and Width Values?

2017C

PR D95 072007

Dalitz Plot Analyses of ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ , ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$ , and ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{\pm}}{{\mathit \pi}^{\mp}}$ Produced via ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Annihilation with Initial-State Radiation

ABRAMOWICZ

2012

EPJ C72 1869

Exclusive Electroproduction of Two Pions at HERA

2012G

PR D86 032013

Precise Measurement of the ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$( ${{\mathit \gamma}}$) Cross Section with the Initial-State Radiation Method at BABAR

FUJIKAWA

2008

PR D78 072006

High-Statistics Study of the Decay

SCHAEL

2005C

PRPL 421 191

Branching Ratios and Spectral Functions of ${{\mathit \tau}}$ Decays: Final ALEPH Measurements and Physics Implications

ANDERSON

2000A

PR D61 112002

Hadronic Structure in the Decay ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$

1999C

PL B450 275

${{\overline{\mathit p}}}{{\mathit d}}$ Annihilation at Rest into ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit p}}_{spect.}$

1998

PR D57 55

Study of the ${{\mathit f}_{{0}}{(1500)}}/{{\mathit f}_{{2}}{(1565)}}$ Production in the Exclusive Annihilation ${{\overline{\mathit n}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ in Flight

PL B391 191

High Mass ${{\mathit \rho}}$ Meson States from ${{\overline{\mathit p}}}{{\mathit d}}$ Annihilation at Rest into ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit p}}_{spect.}$

ACHASOV

PR D55 2663

${{\mathit \rho}^{\,'}}$'s in Analyzing ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Annihilation, MARK III, LASS and ARGUS Data

1997D

PL B414 220

Study of the ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$ Annihilation from S States

1997C

PL B408 476

Spin Parity Analysis of the Final State ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ from ${{\overline{\mathit p}}}{{\mathit p}}$ Annihilation at Rest in Hydrogen Targets at Three Densities

BISELLO

PL B220 321

The Pion Electromagnetic Formfactor in the Time-Like Energy Range 1.35 ${}\leq{}$ $\sqrt {s }{}\leq{}$ 2.4 GeV

DUBNICKA