Signatures of S-wave bound-state formation in finite volume

Shoichi Sasaki, Takeshi Yamazaki

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)


We discuss formation of an S-wave bound state in finite volume on the basis of Lüscher's phase-shift formula. It is found that although a bound-state pole condition is fulfilled only in the infinite-volume limit, its modification by the finite-size corrections is exponentially suppressed by the spatial extent L in a finite box L3. We also confirm that the appearance of the S-wave bound state is accompanied by an abrupt sign change of the S-wave scattering length even in finite volume through numerical simulations. This distinctive behavior may help us to distinguish the loosely bound state from the lowest energy level of the scattering state in finite-volume simulations.

Original languageEnglish
Article number114507
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number11
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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