A microscopic theory of muon capture in nuclei

Description of double β decay within the continuum quasiparticle random-phase approximation

“…radial quantum number (which correspond to transitions over two or more major shells). Their contribution to the nuclear multipole response is marked if probe operators have nontrivial radial dependence, which is the case, for example, for muon capture [10] and neutrino-nucleus reactions with large momentum transfer [11]. The direct nucleon decay of various giant resonances and their overtones has been extensively analyzed within the cRPA by Urin and collaborators (see, e.g., [9]).…”

“…continuum is missing within the standard QRPA calculation scheme, especially for the high-multipole excitations with L ≥ 2 (compare, e.g., with the description of muon capture where the contribution of the highly excited giant resonances dominates [10]). The contribution of these multipoles to M 0ν becomes particularly important because the monopole (Fermi and Gamow-Teller) contributions are suppressed by symmetry constraints (see, e.g., the multipole decomposition of M 0ν in Fig.…”

“…continuum is provided within the continuum quasiparticle random phase approximation (cQRPA). The continuum random phase approximation (cRPA) was formulated about 30 years ago in the pioneering work of Shlomo and Bertsch [8] and since then has been used to successfully describe structure and decay properties of various giant resonances [9], muon capture [10], and neutrino-nucleus reactions with large momentum transfer [11]. To apply the cRPA in open-shell nuclei one has to take nucleon pairing into consideration.…”

The study of prompt and delayed muon induced fission

“…Within this collective model they also performed a calculation of the distribution of excitation energies after muon capture by the nucleus. A more recent study of muon absorption by Auerbach and Klein [16] is based on microscopic random phase calculations of the excitation of collective multipole strengths. This ansatz was further developed by Hadermann and Junker [15] by taking more realistic momentum distributions from a Saxon-Woods potential for the nucleons involved in the capture process.…”

Relativistic quasiparticle random-phase approximation calculation of total muon capture rates

“…Previous calculation of muon capture rates on selected nuclei using the RPA approach include the consistent Hartree-Fock (HF) RPA model [13,14], in which the HF mean field and the particle-hole interaction result from the same Skyrme effective force, and a series of studies [15,16,17,18] in which both the continuum and standard RPA were used, and the effect of quenching of axial-vector coupling was analyzed. The present analysis parallels the recent study by Zinner, Langanke and Vogel [18], where the nonrelativistic RPA was used to systematically calculate muon capture rates for nuclei with 6 ≤ Z ≤ 94.…”