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Proton–proton fusion in pionless effective theory

The proton–proton fusion reaction, pp→de+ν, is studied in pionless effective field theory (EFT) with di-baryon fields up to next-to leading order. With the aid of the di-baryon fields, the effective range corrections are naturally resummed up to the infinite order and thus the calculation is greatly...

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Bibliographic Details
Published in:Physics letters. B 2008-10, Vol.668 (3), p.187-192
Main Authors: Ando, S., Shin, J.W., Hyun, C.H., Hong, S.W., Kubodera, K.
Format: Article
Language:English
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Summary:The proton–proton fusion reaction, pp→de+ν, is studied in pionless effective field theory (EFT) with di-baryon fields up to next-to leading order. With the aid of the di-baryon fields, the effective range corrections are naturally resummed up to the infinite order and thus the calculation is greatly simplified. Furthermore, the low-energy constant which appears in the axial-current-di-baryon–di-baryon contact vertex is fixed through the ratio of two- and one-body matrix elements which reproduces the tritium lifetime very precisely. As a result we can perform a parameter free calculation for the process. We compare our numerical result with those from the accurate potential model and previous pionless EFT calculations, and find a good agreement within the accuracy better than 1%.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2008.08.040