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ONE-PION EXCHANGE AND THE OPTICAL MODEL

Journal Article · · Nuclear Phys.
Starting with the two-body scattering amplitude, aa optical model potential for nucleon-nucleus scattering is calculated (I) using the one-pion exchange interaction alone, (2) modifying the s-wave part of this by using effective range theory, and (3) using the modified phase shift analysis for p-p scattering supplemented by charge independence and the Gammel-Thaler potential for the n-p scattering information. Part (1) works sufficiently well to suggest that the one-pion exchange force contributes more importantly to the nucleon- nucleus interaction than to the basic twonucleon scattering process. Part (2) produces an indifferent improvement on part (1). Part (3) represents the optical potential inferred from the most accurate twonucleon data presently available. This last evaluation of the optical potential is considered the most reliable to date since it includes, in a good approximation, all infinite number of the high angunlar momentum states of the two-nucleon amplitude, which play a very essential part in the optical potential. A systematic derivation of the optical model equations is included with special emphasis on the needs of the present calculation; in addition, criteria for the validity of the model are discussed. Allowance is made for the nuclear volume not being strictly proportional to the mass number (nuclear size effect) and for the inequality of the numbers of neutrons and protons in the nucleus (effect of neutron excess). For heavy nuclei, these effects influence results up to 25%. (auth)
Research Organization:
Univ. of California, Livermore
NSA Number:
NSA-16-010832
OSTI ID:
4801900
Journal Information:
Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 29
Country of Publication:
Country unknown/Code not available
Language:
English

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