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Abstract

We calculate the two-pion wave function in the ground state of the I=2 S-wave system and find the interaction range between two pions, which allows us to examine the validity of the necessary condition for the finite-volume method for the scattering length proposed by Lüscher. We work in the quenched approximation employing a renormalization group improved gauge action for gluons and an improved Wilson action for quarks at 1/a=1.207(12) GeV on 163×80, 203×80, and 243×80 lattices. We conclude that the necessary condition is satisfied within the statistical errors for the lattice sizes L>=24 (3.92 fm) when the quark mass is in the range that corresponds to mpi2=0.273–0.736 GeV2. We obtain the scattering length with a smaller statistical error from the wave function than from the two-pion time correlator.

Journal

  • Physical Review D

    Physical Review D (71), 094504, 2005

    The American Physical Society

Cited by:  6

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Codes

  • NII Article ID (NAID)
    120000882092
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    1550-7998
  • Data Source
    CJPref  IR 
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