Energy shift of the three-particle system in a finite volume - INSPIRE

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Energy shift of the three-particle system in a finite volume

Jin-Yi Pang
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)
,
Jia-Jun Wu
(
- Beijing, GUCAS and
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)
,
H.-W. Hammer
(
- Darmstadt, Tech. Hochsch. and
- Darmstadt, EMMI
)
,
Ulf-G. Meißner
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP and
- IAS, Julich and
- Javakhishvili State U.
)
,
Akaki Rusetsky
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)

Feb 4, 2019

27 pages

Published in:

Phys.Rev.D 99 (2019) 7, 074513

Published: Apr 30, 2019

e-Print:

1902.01111 [hep-lat]

DOI:

10.1103/PhysRevD.99.074513

View in:

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Abstract: (APS)

Using the three-particle quantization condition recently obtained in the particle-dimer framework, the finite-volume energy shift of the two lowest three-particle scattering states is derived up to and including order L-6. Furthermore, assuming that a stable dimer exists in the infinite volume, the shift for the lowest particle-dimer scattering state is obtained up to and including order L-3. The result for the lowest three-particle state agrees with the results from the literature, and the result for the lowest particle-dimer state reproduces the one obtained by using the Lüscher equation.

Note:

Final version published in Phys. Rev. D. Corrected typos: factor of 2 in Eq. (115) [previously Eq. (114)] and factor 6 in Eq. (120) [previously Eq. (119)]

Lattice field theories, lattice QCD
three-body problem
energy levels
finite size: effect
scattering
quantization
stability
energy: ground state
excited state

References(43)

Figures(0)

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