Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice

By P. Bedaque. 2004

199 citations recorded by the source corpus.

Abstract We propose a method for the lattice QCD computation of nucleon–nucleon low-energy interactions. It consists in simulating QCD in the background of a “electromagnetic” field whose potential is non-vanishing, but whose field strength is zero. By tuning the background field, phase-shifts at any (but small) momenta can be determined by measuring the shift of the ground state energy. Lattice sizes as small as 5 Fermi can be sufficient for the calculation of phase shifts up to momenta of order of m π /2.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b27a7224d057c433cd11ff9e16f5fef064a920cc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Andrzej Buras
2. G. Lanfranchi
3. R. Briceño
4. Jure Zupan
5. M. Wingate
6. Marco Ciuchini
7. Christophe Grojean
8. L. Silvestrini

In Condensed Matter Physics

1. Rainer Sommer
2. L. Lellouch
3. J. Brod
4. J. Dudek
5. C. Sachrajda

In Nuclear and High Energy Physics

1. Andrzej Buras
2. T. Hurth
3. David M. Straub
4. T. Becher
5. P. Paradisi
6. M. Neubert
7. J. Virto
8. R. Young

Citations in the corpus

• Review of lattice results concerning low-energy particle physics (2016, methodology): “For K → π ν it is now standard to use nonperiodic (“twisted”) boundary conditions [429,430] to simulate directly at q2 = 0; see Sect.”
• Flavor Physics in the Quark Sector (2009, background): “If θμ = 0 this is called a periodic boundary condition; if θμ = π this is called an antiperiodic boundary condition; and otherwise this is called a twisted boundary condition [71, 72]”
• FLAG Review 2019 (2019, background): “As a consequence, many recent studies have incorporated the use of nonperiodic (“twisted”) boundary conditions [522, 523] as a means to circumvent these difficulties and study other values of momentum including, perhaps, that for which q2 = 0 [67, 524–528].”
• Scattering processes and resonances from lattice QCD (2017, background): “…of it being applicable to all possible 2 → 2 scattering processes, be they elastic, coupledchannel, featuring spinless hadrons or hadrons with spin (Bedaque, 2004; Bernard et al., 2008a, 2011; Briceno, 2014; Briceno and Davoudi, 2013a; Briceno et al., 2014; Christ et al., 2005; Feng et al.,…”