2012

Three particles in a finite volume

Polejaeva, Kathryn, Rusetsky, Akaki

Understand

Within the non-relativistic potential scattering theory, we derive a generalized version of the L\"uscher formula, which includes three-particle inelastic channels.

Faddeev equations in a finite volume are discussed in detail.
It is proved that, even in the presence of the three-particle intermediate states, the discrete spectrum in a finite box is determined by the infinite-volume elements of the scattering S-matrix up to corrections, exponentially suppressed at large volumes.

Built on

I. Manning, Phys. Rev. D 5
1972
Earlier work this paper cites.
K. L. Kowalski, Phys. Rev. D 5
1972
Earlier work this paper cites.
K. L. Kowalski, Phys. Rev. D 7
1976
Earlier work this paper cites.
N. Isgur and G. Karl, Phys. Lett. B 72
1977
Earlier work this paper cites.
N. Isgur and G. Karl, Phys. Rev. D 19
1981
Earlier work this paper cites.
I. Zahed, U.-G. Meißner and U. B. Kaulfuss, Nucl. Phys. A 426
1984
Earlier work this paper cites.
U.-G. Meißner and J. W. Durso, Nucl. Phys. A 430
1984
Earlier work this paper cites.
P. A. M. Guichon, Phys. Lett. B 164
1985
Earlier work this paper cites.
M. Lüscher, Commun. Math. Phys. 105
1986
Earlier work this paper cites.
V. B. Belyaev, “Lectures On The Theory Of Few Body Systems,” Berlin, Germany: Springer (1990) 134 p. (Springer series in nuclear and particle physics)
1990
Earlier work this paper cites.
C. E. Carlson and N. C. Mukhopadhyay, Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
M. Lüscher, Nucl. Phys. B 354
1991
Earlier work this paper cites.
Z. P. Li, V. Burkert and Z. J. Li, Phys. Rev. D 46
1992
Earlier work this paper cites.
F. X. Lee and D. B. Leinweber, Nucl. Phys. Proc. Suppl. 73
1999
Earlier work this paper cites.
O. Krehl, C. Hanhart, S. Krewald and J. Speth, Phys. Rev. C 62
2000
Earlier work this paper cites.
M. Gockeler, R. Horsley, D. Pleiter, P. E. L. Rakow, G. Schierholz, C. M. Maynard and D. G. Richards [QCDSF Collaboration and UKQCD Collaboration and LHPC Collaboration], Phys. Lett. B 532
2002
Earlier work this paper cites.

Similar

S. Sasaki, T. Blum and S. Ohta, Phys. Rev. D 65
2002
Cited alongside, same era.
W. Melnitchouk et al
2003
Cited alongside, same era.
F. X. Lee, S. J. Dong, T. Draper, I. Horvath, K. F. Liu, N. Mathur and J. B. Zhang, Nucl. Phys. Proc. Suppl. 119
2003
Cited alongside, same era.
R. G. Edwards, U. M. Heller and D. G. Richards [LHP Collaboration], Nucl. Phys. Proc. Suppl. 119
2003
Cited alongside, same era.
S. Sasaki, Prog. Theor. Phys. Suppl. 151
2003
Cited alongside, same era.
N. Mathur et al
2005
Cited alongside, same era.
K. Sasaki, S. Sasaki and T. Hatsuda, Phys. Lett. B 623
2005
Cited alongside, same era.
B. Borasoy, P. C. Bruns, U.-G. Meißner and R. Lewis, Phys. Lett. B 641
2006
Cited alongside, same era.
C. Liu, X. Feng and S. He, Int. J. Mod. Phys. A 21
2006
Cited alongside, same era.
S. Basak et al
Original
2007
Cited alongside, same era.
I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, Academic Press (2007)
2007
Cited alongside, same era.
M. Gockeler, R. Horsley, Y. Nakamura, D. Pleiter, P. E. L. Rakow, G. Schierholz and J. Zanotti [QCDSF Collaboration], PoS LATTICE2008
Original
2008
Cited alongside, same era.

Then

M. Lage, U.-G. Meißner and A. Rusetsky, Phys. Lett. B 681
Original
2009
Later among the works it cites.
M. Döring, C. Hanhart, F. Huang, S. Krewald and U.-G. Meißner, Nucl. Phys. A 829
Original
2009
Later among the works it cites.
M. Döring, C. Hanhart, F. Huang, S. Krewald and U.-G. Meißner, Phys. Lett. B 681
Original
2009
Later among the works it cites.
S. Kreuzer and H. W. Hammer, Phys. Lett. B 673
Original
2009
Later among the works it cites.
J. Bulava et al
Original
2010
Later among the works it cites.
G. P. Engel, C. B. Lang, M. Limmer, D. Möhler and A. Schäfer [BGR [Bern- Graz-Regensburg] Collaboration], Phys. Rev. D 82
Original
2010
Later among the works it cites.
S. Kreuzer and H. W. Hammer, Eur. Phys. J. A 43
Original
2010
Later among the works it cites.
H. W. Lin, Chin. J. Phys. 49
Original
2011
Later among the works it cites.
S. Aoki et al
Original
2011
Later among the works it cites.
V. Bernard, M. Lage, U.-G. Meißner and A. Rusetsky, JHEP 1101
Original
2011
Later among the works it cites.
M. Döring, U.-G. Meißner, E. Oset and A. Rusetsky, Eur. Phys. J. A 47
Original
2011
Later among the works it cites.
T. Luu and M. J. Savage, Phys. Rev. D 83
Original
2011
Later among the works it cites.
M. Döring, J. Haidenbauer, U.-G. Meißner and A. Rusetsky, Eur. Phys. J. A 47
Original
2011
Later among the works it cites.
S. Kreuzer and H. W. Hammer, Phys. Lett. B 694
Original
2011
Later among the works it cites.
S. Bour, S. König, D. Lee, H. W. Hammer and U.-G. Meißner, Phys. Rev. D 84
Original
2011
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…