I=2 pion scattering length from two-pion wave functions
Physical Review D Volume 71
Page 094504-
published_at 2005
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| File | |
| Title ( eng ) |
I=2 pion scattering length from two-pion wave functions
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| Creator |
CP-PACS Collaboration
Aoki S
Fukugita M
Ishizuka N
Iwasaki Y
Kanaya K
Kaneko T
Kuramashi Y
Ukawa A
Yamazaki T
Yoshié T
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| Source Title |
Physical Review D
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| Volume | 71 |
| Start Page | 094504 |
| 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.
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| NDC |
Physics [ 420 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
The American Physical Society
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| Date of Issued | 2005 |
| Rights |
Copyright (c) 2005 The American Physical Society
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| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 1550-7998
[DOI] http://dx.doi.org/10.1103/PhysRevD.71.094504
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