Two-body bound states & the Bethe-Salpeter equation

Conference · Wed Jan 18 04:00:00 EST 1995

OSTI ID:32506

Pichowsky, M ^[1]; Kennedy, M ^[2]; Strickland, M ^[3]

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1. Argonne National Lab., IL (United States)
2. Univ. of New Hampshire, Durham, NH (United States). Physics Dept.
3. Duke Univ., Durham, NC (United States)

The Bethe-Salpeter formalism is used to study two-body bound states within a scalar theory: two scalar fields interacting via the exchange of a third massless scalar field. The Schwinger-Dyson equation is derived using functional and diagrammatic techniques, and the Bethe-Salpeter equation is obtained in an analogous way, showing it to be a two-particle generalization of the Schwinger-Dyson equation. The authors also present a numerical method for solving the Bethe-Salpeter equation without three-dimensional reduction. The ground and first excited state masses and wavefunctions are computed within the ladder approximation and space-like form factors are calculated.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 32506
• Report Number(s): ANL/PHY/CP--85493; CONF-9405297--1; ON: DE95008302
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BETHE-SALPETER EQUATION
BOUND STATE
NUMERICAL SOLUTION
SCALAR FIELDS
TWO-BODY PROBLEM