Lüscher's finite size method with twisted boundary conditions: An application to the J/ψ-p system to search for a narrow resonance

Sho Ozaki, Shoichi Sasaki

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)

Abstract

We investigate an application of twisted boundary conditions for the study of low-energy hadron-hadron interactions with Lüscher's finite size method. This allows us to calculate the phase shifts for elastic scattering of two hadrons at any small value of the scattering momentum even in a finite volume. We then can extract model-independent information of low-energy scattering parameters, such as the scattering length, the effective range, and the effective volume, from the S-wave and P-wave scattering phase shifts through the effective range expansion. This approach also enables us to examine the existence of near-threshold and narrow resonance states, whose characteristics are observed in many of newly discovered charmonium-like XYZ mesons. As a simple example, we demonstrate our method for low-energy J/ψ-p scatterings to search for Y(4140) resonance using 2+1 flavor PACS-CS gauge configurations at the lightest pion mass, mπ=156 MeV.

Original languageEnglish
Article number014506
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume87
Issue number1
DOIs
Publication statusPublished - 2013 Jan 22

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Lüscher's finite size method with twisted boundary conditions: An application to the J/ψ-p system to search for a narrow resonance'. Together they form a unique fingerprint.

Cite this