THEORY OF THE LOW-ENERGY PION-PION INTERACTION. PART II

Journal Article · Thu Feb 16 04:00:00 EST 1961 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

OSTI ID:4032594

Chew, G F; Mandelstam, S

It is shown that when P-wave pion-pion scattering is large at low energies, the integral equations previously formulated require a cut-off. Because of the cut-off and the unstable nature of the solution, the numerical integration procedure bccomes much more involved. The original equations are therefore replaced by a series of conditions at the symmetry point, and the unphysical cuts of the partial-wave amplitudes are replaced by a corresponding series of poles. Within this framework one need not speak of a cut-off, but one new parameter appears. Self-consistent solutions can be found in which a P-wave resonance is sustained by a bootstrap mechanism, that is, a strong attractive force in the I = 1 state results from the exchange of a resonating pair of P-wave pions. The symmetry-point conditions used would be modified by the cut-off and quantitative accuracy is not attempted; however, this and other corrections are not expected to change the qualitative nature of the solutions. Rough estimates of the corrections are made. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-15-017498
• OSTI ID: 4032594
• Report Number(s): UCRL-9126; 0029-6341
• Journal Information: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10), 19; ISSN NUCIA
• Country of Publication: United States
• Language: English

Related Subjects

BINDING ENERGY
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
FEYNMAN DIAGRAM
FIELD THEORY
INTERACTIONS
NUMERICALS
OPE MODEL
P-WAVE
PARTICLE MODELS
PERIPHERAL COLLISIONS
PHYSICS
PIONS
POLOLOGY
QUANTUM MECHANICS
SCATTERING