Summary
We investigate the overlap function that results from a general multiperipherallike impact parameter structure for multiparticle production. In particular, we generalize the random-walk model in impact parameter to include interactions that extend over more than one link in the multiperipheral chain. It is found that reasonable values for both the magnitude and the shrinkage of the elastic slope can be easily obtained, due to collective effects in impact parameter space.
Riassunto
Si studia la funzione di sovrapposizione che risulta dalla struttura generale del parametro di impatto di tipo multiperiferale per la produzione di molte particelle. In particolare si generalizza il modello del percorso casuale in parametro d'impatto per includere interazioni che si estendono su più di un anello della catena multiperiferale. Si trova che possono essere trovati facilmente valori ragionevoli sia per la grandezza che per la contrazione della pendenza elastica, a causa di effetti collettivi nello spazio del parametro di impatto.
Резюме
Мы исследуем функцию перекрытия, которая получается из структуры мультипериферического типа для многочастичного рождения. В частности, мы обобщаем модель случайных блужданий в представлении прицельного параметра, чтобы включить взаимодействия, которые распространяются более, чем на одно звено мулятипериферической цепи. Показывается, что можно легко получуть соответствующие значения для величины и сокращения упригого наклона, связанные с коллективными эффектами в пространстве прицельного параметра.
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Work supported by National Science Foundation Grant MPS 74-19018.
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Molodowitch, D. The overlap slope and multilink interactions in multiperipherallike impact parameter amplitudes. Nuov Cim A 37, 305–329 (1977). https://doi.org/10.1007/BF02909265
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DOI: https://doi.org/10.1007/BF02909265