STRUCTURE OF THE S MATRIX IN THE PRESENCE OF A BOUND STATE

Journal Article · Sun Jan 01 00:00:00 EST 1961 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.121.346· OSTI ID:4106654

Tani, S

It is shown that the phase factor associated with the "orthogonality phase shift" from a bound state should be factored out of the S matrix. A crucial test of this statement is found in a study of the final state interaction of an inelastic process which ends in a channel involving the bound state. If it is assumed that the sum of the Born series for the S matrix gives a right answer after the effect of the bound state is separated in terms of the orthogonality phase shift, an agreement with Watson's result obtains only when the S matrix has the factored structure. (auth)

• Research Organization: Washington Univ., Saint Louis
• NSA Number: NSA-15-006671
• OSTI ID: 4106654
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Vol. Vol: 121; Other Information: Orig. Receipt Date: 31-DEC-61
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
BINDING ENERGY
BORN APPROXIMATION
BOUND STATE
ELEMENTARY PARTICLES
INTERACTIONS
MATRICES
PERTURBATION THEORY
PHASE SHIFT
S- MATRIX
SCATTERING
SOMMERFELD-WATSON THEORY
WATSON LEMMA