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Takeshi Yamazaki and Yoshinobu Kuramashi, “Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory,” Proceedings, 36th International Symposium on Lattice Field Theory (Lattice 2018): East Lansing, MI, United States, July 22-28, 2018 , PoS LATTICE2018
Original
1901
Earlier work this paper cites.
K. S. McElvain and W. C. Haxton, “Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables,” Phys. Lett. B797
Original
1902
Earlier work this paper cites.
Ning Li, Serdar Elhatisari, Evgeny Epelbaum, Dean Lee, Bingnan Lu, and Ulf-G Meißner, “Galilean invariance restoration on the lattice,” Phys. Rev. C99
Original
1902
Earlier work this paper cites.
Yutaro Akahoshi, Sinya Aoki, Tatsumi Aoyama, Takumi Doi, Takaya Miyamoto, and Kenji Sasaki, “ I = 2 I=2 π π \pi\pi potential in the HAL QCD method with all-to-all propagators,” (2019), arXiv:1904.09549 [hep-lat]
Original
1904
Earlier work this paper cites.
Yusuke Namekawa and Takeshi Yamazaki, “Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range,” Phys. Rev. D99
Original
1904
Earlier work this paper cites.
Lukas Bovermann, Evgeny Epelbaum, Hermann Krebs, and Dean Lee, “Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice,” (2019), arXiv:1905.02492 [nucl-th]
Original
1905
Earlier work this paper cites.
Shangguo Zhu and Shina Tan, “ d d -dimensional Lüscher’s formula and the near-threshold three-body states in a finite volume,” (2019), arXiv:1905.05117 [nucl-th]
Original
1905
Earlier work this paper cites.
Rongzheng He, Ning Li, Bing-Nan Lu, and Dean Lee, “Superfluid Condensate Fraction and Pairing Wave Function of the Unitary Fermi Gas,” (2019), arXiv:1910.01257 [cond-mat.quant-gas]
Original
1910
Earlier work this paper cites.
Yan Li, Jia-Jun Wu, Curtis D. Abell, Derek B. Leinweber, and Anthony W. Thomas, “Partial Wave Mixing in Hamiltonian Effective Field Theory,” (2019b), arXiv:1910.04973 [hep-lat]
Original
1910
Earlier work this paper cites.
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1955
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Similar

Bugra Borasoy, Evgeny Epelbaum, Hermann Krebs, Dean Lee, and Ulf-G. Meißner, “Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles,” Eur. Phys. J. A34
Original
2007
Cited alongside, same era.
Bugra Borasoy, Evgeny Epelbaum, Hermann Krebs, Dean Lee, and Ulf-G. Meißner, “Chiral effective field theory on the lattice at next-to-leading order,” Eur. Phys. J. A35
Original
2008
Cited alongside, same era.
Dean Lee, “The Symmetric heavy-light ansatz,” Eur. Phys. J. A35
Original
2008
Cited alongside, same era.
Hidekatsu Nemura, Noriyoshi Ishii, Sinya Aoki, and Tetsuo Hatsuda, “Hyperon-nucleon force from lattice QCD,” Phys. Lett. B673
Original
2009
Cited alongside, same era.
Dean Lee, “Lattice simulations for few- and many-body systems,” Prog. Part. Nucl. Phys. 63

Then

Raul A. Briceno, Zohreh Davoudi, Thomas C. Luu, and Martin J. Savage, “Two-Baryon Systems with Twisted Boundary Conditions,” Phys. Rev. D89
Original
2014
Later among the works it cites.
Ning Li, Song-Yuan Li, and Chuan Liu, “Generalized Lüscher’s formula in multichannel baryon-baryon scattering,” Phys. Rev. D90
Original
2014
Later among the works it cites.
V. V. Pupyshev, “The Length and Effective Radius of Two-Dimensional Scattering of a Quantum Particle by a Centrally Symmetric Short-Range Potential,” Th. Math. Phys. 180(3)
2014
Later among the works it cites.
Elhatisari, Serdar and Lee, Dean and Rupak, Gautam and Epelbaum, Evgeny and Krebs, Hermann and Lähde, Timo A. and Luu, Thomas and Meißner, Ulf-G., “Ab initio alpha-alpha scattering,” Nature 528
Original
2015
Later among the works it cites.

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2019

Renormalization of a Contact Interaction on a Lattice

Körber, Christopher, Berkowitz, Evan, Luu, Thomas

Understand

Contact interactions can be used to describe a system of particles at unitarity, contribute to the leading part of nuclear interactions and are numerically non-trivial because they require a proper regularization and renormalization scheme.

We explain how to tune the coefficient of a contact interaction between non-relativistic particles on a discretized space in 1, 2, and 3 spatial dimensions such that we can remove all discretization artifacts.
By taking advantage of a latticized L\"uscher zeta function, we can achieve a momentum-independent scattering amplitude at any finite lattice spacing.