P-WAVE RESONANCE IN PION-PION SCATTERING

Journal Article · Mon May 01 04:00:00 EDT 1961 · Progr. Theoret. Phys. (Kyoto)

DOI:https://doi.org/10.1143/PTP.25.727· OSTI ID:4843439

Yamazaki, M

Pion-pion scattering in the 1 = 1 = 1 state is treated by the Tamm- Dancoff method. By making an approximation in which configurations containing up to three particles of meson and nucleon pair are taken into account in the 4th order pion-pion interaction kernel, the existence of resonance is concluded. By adjusting the coupling constant g/sup 2//4 pi between pion and nucleon so as to fit the pion-pion scattering length a - 0.1 0.3 mu /sup -3/ in the I -1 - 1 state, the reso nance level of 600 approximately 400 Mev and resonanee width of 140 approximately 40 Mev is found, which is quite consistent with that adopted by Takeda et al. in their theory of the 2nd approximately - 3rd maximum in pion- nucleon scattering and also by Frazer-Fuleo in the explanation of isotopic vector magnetic form factor of a nucleon. The relation g/sup 2//4 pi = 6.1 approximately - 6.8, which is somewhat smaller than the conventional one, is adopted. This small coupling constant is interpreted as due to the inclusion of the effects of scattering and annihilation of a virtual nucleon pair. (auth)

• Research Organization: Tokyo Univ.
• Sponsoring Organization: USDOE
• NSA Number: NSA-15-028383
• OSTI ID: 4843439
• Journal Information: Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Vol. Vol: 25
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANNIHILATION
ANTINUCLEONS
COUPLING CONSTANTS
ENERGY LEVELS
INTERACTIONS
NUCLEONS
P-WAVE
PHYSICS
PIONS
QUANTUM MECHANICS
RESONANCE
RHO RESONANCES
SCATTERING
SCATTERING LENGTH
TAKEDA THEORY
TAMM-DANCOFF METHOD
WIDTH