I=2 Pion Scattering Length from Two-Pion Wave Function

Nuclear Physics B Proceedings Supplements Volume 140 Page 305-307 published_at 2005

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Title ( eng )	I=2 Pion Scattering Length from Two-Pion Wave Function
Creator	CP-PACS Collaboration Aoki S Fukugita M Ishikawa Kenichi Ishizuka N Iwasaki Y Kanaya K Kaneko T Kuramashi Y Okawa Masanori Ukawa A Yamazaki T Yoshié T
Source Title	Nuclear Physics B Proceedings Supplements
Volume	140
Start Page	305
End Page	307
Abstract	We present a report on a calculation of scaterring length for I=2 S-wave two-pion system from two-pion wave function. Calculations are made with an RG-improved action for gluons and improved Wilson action for quarks at a-1=1.207(12) GeV on 163×80, 203×80 and 243×80 lattices. We investigate the validity of necessary condition for application of Lüscher's formula through the wave function. We find that the condition is satisfied for lattice volumes L≥3.92 fm for the quark mass range . We also find that the scattering length can be extracted with a smaller statistical error from the wave function than with a time correlation function used in previous studies.
NDC	Physics [ 420 ]
Language	eng
Resource Type	conference paper
Publisher	Elsevier Science B.V.
Date of Issued	2005
Rights	Copyright (c) 2005 Elsevier Science B.V.
Publish Type	Author’s Original
Access Rights	open access
Source Identifier	[ISSN] 0920-5632 [DOI] http://dx.doi.org/10.1016/j.nuclphysbps.2004.11.143 isVersionOf