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Charge-dependent interactions in the spreading width of an isobaric analog state in /sup 49/Sc

Thesis/Dissertation ·
OSTI ID:5541838
An extensive shell model calculation of the spreading width GAMMA for the isobaric analog state of the /sup 49/Ca ground state reveals a surprising coherence between the contributions from various charge-dependent interactions. A charge-symmetry-breaking (CSB) interaction and the charge symmetric charge dependent (CSCD) interaction that arises from the neutral pion ..pi../sup 0/ and charged pion ..pi../sup + -/ mass difference are included in addition to the Coulomb interaction. The Coulomb interaction contributes both by the direct coupling and the indirect coupling through an isovector monopole state (IVM). This later is expressed as an effective isovector two-body interaction to exhibit its coherence with other direct terms. Although the GAMMA from the direct Coulomb coupling is 3.0 keV and that from the IVM is 4.0 keV, coherent addition of amplitudes from these two gives GAMMA(Coul) = 4.2 keV. The CSCD by itself gives GAMMA approx. = 2 keV but the GAMMA from both the Coulomb interaction and the CSCD is 8.0 keV. The GAMMA from all the interactions including the CSB is found to be 7.1 +/- 1.4 keV. An analysis of the data on /sup 49/Sc gives GAMMA = 6.0 +/- 0.1 keV. The CSB is thus marginally visible in the spreading width but the contribution to the GAMMA from the well-established CSCD interaction is very significant with the effect of the coherence.
Research Organization:
Maryland Univ., College Park (USA)
OSTI ID:
5541838
Country of Publication:
United States
Language:
English