Calculation of doublet capture rate for muon capture in deuterium within chiral effective field theory

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• 作者：J. Adam Jr.^a ; M. Tater^a ; E. Truhlí ; k^a ; ^{truhlik@ujf.cas.cz} ; E. Epelbaum^b ; R. Machleidt^c ; P. Ricci^d
• 关键词：Negative muon capture ; Deuteron ; Effective field theory ; Meson exchange currents
• 刊名：Physics Letters B
• 出版年：2012
• 出版时间：13 March 2012
• 年：2012
• 卷：709
• 期：1-2
• 页码：93-100
• 全文大小：260 K

文摘

The doublet capture rate of the negative muon capture in deuterium is calculated employing the nuclear wave functions generated from accurate nucleon-nucleon (NN) potentials constructed at next-to-next-to-next-to-leading order of heavy-baryon chiral perturbation theory and the weak meson exchange current operator derived within the same formalism. All but one of the low-energy constants that enter the calculation were fixed from pion-nucleon and nucleon-nucleon scattering data. The low-energy constant (), which cannot be determined from the purely two-nucleon data, was extracted recently from the triton ¦Â-decay and the binding energies of the three-nucleon systems. The calculated values of show a rather large spread for the used values of the . Precise measurement of in the future will not only help to constrain the value of , but also provide a highly nontrivial test of the nuclear chiral EFT framework. Besides, the precise knowledge of the constant will allow for consistent calculations of other two-nucleon weak processes, such as proton-proton fusion and solar neutrino scattering on deuterons, which are important for astrophysics.