Two particle states in an asymmetric box and the elastic scattering phases - INSPIRE

DataBETA

Two particle states in an asymmetric box and the elastic scattering phases

Apr, 2004

18 pages

Published in:

Phys.Rev.D 70 (2004) 014505

e-Print:

hep-lat/0404001 [hep-lat]

DOI:

10.1103/PhysRevD.70.014505

View in:

ADS Abstract Service

reference search92 citations

Citations per year

Abstract:

The exact two-particle energy eigenstates in a generic asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are obtained for both

D_4

and

D_2

symmetry. These results can be viewed as a generalization of the corresponding formulae in a cubic box obtained by Luscher before. In particular, the s-wave scattering length is related to the energy shift in the finite box. Possible applications of these formulae are also discussed.

12.38.Gc
11.15.Ha
energy eigenstate: two-particle
elastic scattering
scattering length
group theory: representation
Helmholtz equation: solution
boundary condition

References(22)

Figures(0)

New results on rare and forbidden semileptonic K+ decays

Peter Truoel
(
- Zurich U.
)

- Frascati Phys.Ser. 20 (2001) 49-63
•
e-Print:
- hep-ex/0012012

Study of K+ pi- Scattering in the Reaction K+ p ---> K+ pi- Delta++ at 12-GeV/c

M.J. Matison
(
- LBL, Berkeley
)
,
A. Barbaro-Galtieri
(
- LBL, Berkeley
)
,
M. Alston-Garnjost
(
- LBL, Berkeley
)
,
Stanley M. Flatte
(
- LBL, Berkeley
)
,
J.H. Friedman
(
- LBL, Berkeley
)

et al.

- Phys.Rev.D 9 (1974) 1872
•
DOI:
- 10.1103/PhysRevD.9.1872

Coupled channel study of the S wave pi pi ---> k anti-k interaction

N.O. Johannesson
(
- Nordita
)
,
J.L. Petersen
(
- Nordita
)

- Nucl.Phys.B 68 (1974) 397-412
•
DOI:
- 10.1016/0550-3213(74)90320-4

LOW-ENERGY K pi SCATTERING

A. Karabarbounis
(
- Manchester U.
)
,
Graham Shaw
(
- Manchester U.
)

- J.Phys.G 6 (1980) 583
•
DOI:
- 10.1088/0305-4616/6/5/005

Kaon - Nucleon Parameters

Alan D. Martin
(
- Durham U.
)

- Nucl.Phys.B 179 (1981) 33-48
•
DOI:
- 10.1016/0550-3213(81)90247-9

Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 2. Scattering States

M. Luscher
(
- DESY
)

- Commun.Math.Phys. 105 (1986) 153-188,
- Hamburg Desy - DESY 86-034 (86,REC.MAR.),
- Commun. Math. Phys. 105 ( 1986) 153-188 and Hamburg Desy - DESY 86-034 (86,REC.MAR.) 80p
•
DOI:
- 10.1007/BF01211097

How to Calculate the Elastic Scattering Matrix in Two-dimensional Quantum Field Theories by Numerical Simulation

Martin Luscher
(
- DESY
)
,
Ulli Wolff
(
- Kiel U. and
- Bielefeld U.
)

- Nucl.Phys.B 339 (1990) 222-252
•
DOI:
- 10.1016/0550-3213(90)90540-T

Two particle states on a torus and their relation to the scattering matrix

Martin Luscher
(
- DESY
)

- Nucl.Phys.B 354 (1991) 531-578
•
DOI:
- 10.1016/0550-3213(91)90366-6

Signatures of unstable particles in finite volume

Martin Luscher
(
- DESY
)

- Nucl.Phys.B 364 (1991) 237-251
•
DOI:
- 10.1016/0550-3213(91)90584-K

Scattering phases on finite lattices in the broken phase of the four-dimensional O(4) phi**4 theory

Meinulf Gockeler
(
- Aachen, Tech. Hochsch. and
- Julich, NIC
)
,
Hans A. Kastrup
(
- Aachen, Tech. Hochsch.
)
,
Jorg Westphalen
(
- Aachen, Tech. Hochsch. and
- Julich, NIC
)
,
Frank Zimmermann
(
- Aachen, Tech. Hochsch. and
- Julich, NIC
)

- Nucl.Phys.B 425 (1994) 413-448
•
e-Print:
- hep-lat/9402011
•
DOI:
- 10.1016/0550-3213(94)90186-4

I = 2 pion scattering amplitude with Wilson fermions

Rajan Gupta
(
- Los Alamos
)
,
Apoorva Patel
(
- Bangalore, Indian Inst. Sci.
)
,
Stephen R. Sharpe
(
- Washington U., Seattle
)

- Phys.Rev.D 48 (1993) 388-396
•
e-Print:
- hep-lat/9301016
•
DOI:
- 10.1103/PhysRevD.48.388

Hadron scattering lengths in lattice QCD

M. Fukugita
(
- Kyoto U., Yukawa Inst., Kyoto and
- Princeton, Inst. Advanced Study
)
,
Y. Kuramashi
(
- KEK, Tsukuba
)
,
M. Okawa
(
- KEK, Tsukuba
)
,
H. Mino
(
- Yamanashi U.
)
,
A. Ukawa
(
- Tsukuba U.
)

- Phys.Rev.D 52 (1995) 3003-3023
•
e-Print:
- hep-lat/9501024
•
DOI:
- 10.1103/PhysRevD.52.3003

I = 2 pion scattering length with Wilson fermions

JLQCD

Collaboration

•

S. Aoki

et al.

- Nucl.Phys.B Proc.Suppl. 83 (2000) 241-243
•
e-Print:
- hep-lat/9911025
•
DOI:
- 10.1016/S0920-5632(00)91635-9

I=2 pion scattering length with the Wilson fermion

JLQCD

Collaboration

•

S. Aoki
(
- Tsukuba U.
)

et al.

- Phys.Rev.D 66 (2002) 077501
•
e-Print:
- hep-lat/0206011
•
DOI:
- 10.1103/PhysRevD.66.077501

Calculating the I = 2 pion scattering length using tadpole improved clover Wilson action on coarse anisotropic lattices

Chuan Liu
(
- Peking U.
)
,
Jun-hua Zhang
(
- Peking U.
)
,
Ying Chen
(
- Beijing, Inst. High Energy Phys.
)
,
J.P. Ma
(
- Beijing, Inst. Theor. Phys.
)

- Nucl.Phys.B 624 (2002) 360-376
•
e-Print:
- hep-lat/0109020
•
DOI:
- 10.1016/S0550-3213(01)00662-9

I = 2 pion scattering length with the parametrized fixed point action

BGR

Collaboration

•

K. Jimmy Juge

for the collaboration.

- Nucl.Phys.B Proc.Suppl. 129 (2004) 194-196,
•
e-Print:
- hep-lat/0309075
•
DOI:
- 10.1016/S0920-5632(03)02527-1

I = 2 pion scattering length with Wilson fermions

CP-PACS

Collaboration

•

S. Aoki
(
- Tsukuba U.
)

et al.

- Phys.Rev.D 67 (2003) 014502
•
e-Print:
- hep-lat/0209124
•
DOI:
- 10.1103/PhysRevD.67.014502

I = 2 pion scattering length from two pion wave function

N. Ishizuka
(
- Tsukuba U., RCCP and
- Tsukuba U.
)
,
T. Yamazaki
(
- Tsukuba U.
)

- Nucl.Phys.B Proc.Suppl. 129 (2004) 233-235,
•
e-Print:
- hep-lat/0309168
•
DOI:
- 10.1016/S0920-5632(03)02540-4

I=2 pion pion scattering phase shift in the continuum limit calculated with two flavor full QCD

CP-PACS

Collaboration

•

T. Yamazaki
(
- Tsukuba U.
)

et al.

- Nucl.Phys.B Proc.Suppl. 129 (2004) 191-193,
•
e-Print:
- hep-lat/0309155
•
DOI:
- 10.1016/S0920-5632(03)02526-X

Two nucleons on a lattice

S.R. Beane
(
- New Hampshire U. and
- Jefferson Lab
)
,
P.F. Bedaque
(
- LBL, Berkeley
)
,
A. Parreno
(
- Barcelona U., ECM
)
,
M.J. Savage
(
- Washington U., Seattle
)

- Phys.Lett.B 585 (2004) 106-114
•
e-Print:
- hep-lat/0312004
•
DOI:
- 10.1016/j.physletb.2004.02.007

K ---> pi pi decay amplitude on the lattice

Naruhito Ishizuka
(
- Tsukuba U., RCCP
)

- Nucl.Phys.B Proc.Suppl. 119 (2003) 84-92,
•
e-Print:
- hep-lat/0209108
•
DOI:
- 10.1016/S0920-5632(03)01495-6

Two particle states in an asymmetric box

Xin Li
(
- Peking U.
)
,
Chuan Liu
(
- Peking U.
)

- Phys.Lett.B 587 (2004) 100-104
•
e-Print:
- hep-lat/0311035
•
DOI:
- 10.1016/j.physletb.2004.02.068