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nitudes can be estimated by observing that if the scattering length approaches infinity conditions of equivalence for scattering cross section at zero energy and for rate of change with energy give ro=ro'+r1', where ro is the radius of the square well without core, while rl' is the core radius and ro' is the outer radius of the modified square well. If ro=2.7X 10'3 cm and rf'=iX l0O' cm, then ro'=1.7 X-10-3 cm. A shortening of range in the ratio 1.7/2.7 gives an increase of meson mass by the factors -2.7/1.7, which corre- sponds to a mass -500 m. Unpublished calculations of M. H. Hull and A. Herschman support the conclusion that the apparent meson mass is too high. They also find that the p-p and p-n interactions are in slightly poorer agreement with the core than without. An exact agreement with the measured mass is hardly to be expected, and reasons for differences of the order of 10 or 20 percent can be given.2 The connection with meson theory becomes forced, however, if the disagreement is by a factor of about 2. The approximate independence of the p-p scattering cross section on the scattering angle is usually made
Physical Review – American Physical Society (APS)
Published: Dec 1, 1951
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