Prog. Theor. Phys. Vol. 41 No. 4 (1969) pp. 1046-1056
Dynamical Implication of the πN P11 Data
Department of Physics, Kyushu University, Fukuoka
(Received November 25, 1968)
In order to search the dynamics to form the nucleon and the Roper resonance, a three-channel model consisting of πN, σN and the third channel is adopted, where the last channel is not specified explicitly. By adjusting elastic and transition forces, this model is able to reproduce the nucleon mass, the πN coupling constant, the phase shift and inelasticity up to 1440 MeV in C. M. energy fairly well, and the bending of the Argand loop near the top of the circle. In this situation, the pure elastic parts (the decoupled amplitudes) of the πN and the third channels have bound states with nearly the same energy near the πN threshold; the σN channel has a resonance and is weakly coupled to πN, but it causes large inelasticity in the low energy region and the bending of the Argand loop. The dynmical importance of the πN and the other channels on the formation of the nucleon may be nearly equivalent.
DOI : 10.1143/PTP.41.1046
A. Donnachie, R. G. Kirsopp and C. Lovelace, Phys. Lett. B 26 (1968), 161[CrossRef]; CERN preprint TH 838 Addendum.
P. Bareyre, C. Bricman and G. Villet, Phys. Rev. 165 (1968), 1730[APS].
L. D. Roper, Phys. Rev. Lett. 12 (1964), 340[APS].
L. D. Roper, R. M. Wright and B. T. Feld, Phys. Rev. 138 (1965), B190[APS].
- C. Lovelace, Rapporteur's talk at Berkeley Conference (1966).
G. F. Chew and F. E. Low, Phys. Rev. 101 (1956), 1570[APS].
G. F. Chew, Phys. Rev. Lett. 9 (1962), 233[APS].
F. E. Low, Phys. Rev. Lett. 9 (1962), 279[APS].
P. Coulter and G. Shaw, Phys. Rev. 141 (1966), 1419[APS].
B. I. Scheth and A. Tubis, Phys. Rev. 154 (1967), 1322[APS].
- M. Uehara, Prog. Theor. Phys. 38 (1967), 1347[PTP].
D. Atkinson and M. B. Halpern, Phys. Rev. 150 (1966), 1377[APS].
J. H. Schwarz, Phys. Rev. 152 (1966), 1325[APS].
J. S. Ball, G. Shaw and D. Y. Wong, Phys. Rev. 155 (1967), 1725[APS].
- T. Kanki, Prog. Teor. Phys. 38 (1967), 172.
E. N. Argyres and R. Atkinson III, Phys. Rev. 159 (1967), 1446[APS].
J. J. Brehm and L. F. Cook, Phys. Rev. 170 (1968), 1387[APS].
- K. Kinoshita, Y. Kinoshita and N. Murai, Prog. Theor. Phys. 39 (1968), 108[PTP].
- A. H. Rosenfeld et al., UCRL-8030 Pt. I (Jan. 1968 Rev.).
- K. Kinoshita, Prog. Theor. Phys. 38 (1967), 283[PTP]; ibid. 38 (1967), 705[PTP].
- M. Uehara, Prog. Theor. Phys. 40 (1968), 1060[PTP].
R. Rockmore, Phys. Rev. 151 (1966), 1228[APS].
J. Hamilton and W. S. Woolcock, Rev. Mod. Phys. 35 (1963), 737[APS].
C. Michael, Phys. Lett. 21 (1966), 93[CrossRef].
K. Kinoshita and Y. Kinoshita, Nucl. Phys. B 7 (1968), 121[CrossRef].
G. D. Doolen, T. Kanki and A. Tubis, Phys. Rev. 142 (1966), 1072[APS].