I = 2 pion scattering length with Wilson fermions

-wave two-pion system using the finite size method proposed by L\"uscher. We work in the quenched approximation employing the standard plaquette action at

\beta=5.9

for gluons and the Wilson fermion action for quarks. The phase shift is extracted from the energy eigenvalues of the two-pion system, which are obtained by a diagonalization of the pion 4-point function evaluated for a set of relative spatial momenta. In order to change momentum of the two-pion system, calculations are carried out on

24^3\times 60

,

32^3\times 60

, and

48^3\times 60

lattices. The phase shift is successfully calculated over the momentum range

0 < p^2 < 0.3 {\rm GeV}^2

.

Note:

LaTeX, 28 pages, 10 eps figures, uses revtex and epsfig

12.38.Gc
11.15.Ha
fermion: lattice field theory
gauge field theory: SU(3)
pi pi: scattering amplitude
partial wave
isospin: 2
scattering: length
effect: finite size
approximation: quenching

References(31)

Figures(10)

Lattice calculation of I = 2 pion scattering length

Stephen R. Sharpe
(
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Rajan Gupta
(
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Y. Kuramashi
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,
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(
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)
,
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(
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I = 2 pion scattering amplitude with Wilson fermions

Rajan Gupta
(
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)
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)
,
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I = 2 pion scattering length with Wilson fermions

JLQCD

Collaboration

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•
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I=2 pion scattering length with the Wilson fermion

JLQCD

Collaboration

•

S. Aoki
(
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et al.

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Chuan Liu
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,
Jun-hua Zhang
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Ying Chen
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e-Print:
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Chuan Liu
(
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)
,
Jun-hua Zhang
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)
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Ying Chen
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)
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J.P. Ma
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•
DOI:
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H.R. Fiebig
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)
,
H. Markum
(
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)
,
A. Mihaly
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)
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)

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