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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>Partial-Wave Analysis from Reactions<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>p</mml:mi><mml:mo>→</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>Δ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>p</mml:mi><mml:mo>→</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>Δ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>at 7.1 GeV/<i>c</i>

S. D. ProtopopescuLawrence Berkeley Laboratory, University of California, Berkeley, California 94720M. Alston‐GarnjostLawrence Berkeley Laboratory, University of California, Berkeley, California 94720A. Barbaro‐GaltieriLawrence Berkeley Laboratory, University of California, Berkeley, California 94720Stanley M. FlattéLawrence Berkeley Laboratory, University of California, Berkeley, California 94720Jerome H. FriedmanLawrence Berkeley Laboratory, University of California, Berkeley, California 94720T. A. LasinskiLawrence Berkeley Laboratory, University of California, Berkeley, California 94720G. LynchLawrence Berkeley Laboratory, University of California, Berkeley, California 94720M. S. Z. RabinLawrence Berkeley Laboratory, University of California, Berkeley, California 94720Frank T. SolmitzLawrence Berkeley Laboratory, University of California, Berkeley, California 94720

1973lv

ABI

Annotatsiya

We present results of an energy-dependent phase-shift analysis for $\ensuremath{\pi}\ensuremath{\pi}$ energies between 550 and 1150 MeV from reactions ${\ensuremath{\pi}}^{+}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\Delta}}^{++}$ and ${\ensuremath{\pi}}^{+}p\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\Delta}}^{++}$ at 7.1 GeV/c. The $I=0$ $s$ wave is parametrized in terms of a 2 \ifmmode\times\else\texttimes\fi{} 2 $M$-matrix coupling $\ensuremath{\pi}\ensuremath{\pi}$ and $K\overline{K}$ channels. All the obtained solutions rule out the possibility of a narrow $\ensuremath{\epsilon}$ resonance in the $\ensuremath{\rho}$ region and are characterized by a very rapid variation of the $I=0$ $s$-wave amplitude near $K\overline{K}$ threshold. We show that this rapid variation can be explained by a pole in the second Riemann sheet close to the $K\overline{K}$ threshold.

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Identifikatorlar

DOI: 10.1103/physrevd.7.1279

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