Muon capture on <math><mmultiscripts><mi>Li</mi><mprescripts/><none/><mn>6</mn></mmultiscripts></math>, <math><mmultiscripts><mi mathvariant="normal">C</mi><mprescripts/><none/><mn>12</mn></mmultiscripts></math>, and <math><mmultiscripts><mi mathvariant="normal">O</mi><mprescripts/><none/><mn>16</mn></mmultiscripts></math> from ab initio nuclear theory

Jokiniemi, Lotta; Navratil, Petr; Kotila, Jenni; Kravvaris, Kostas

doi:10.1103/PhysRevC.109.065501

Muon capture on ${}^{6}{Li}$ , ${}^{12}C$ , and ${}^{16}O$ from ab initio nuclear theory

Lotta Jokiniemi
(
- TRIUMF
)
,
Petr Navratil
(
- TRIUMF and
- Victoria U.
)
,
Jenni Kotila
(
- Jyvaskyla U. and
- Bucharest, IFIN-HH and
- Yale U.
)
,
Kostas Kravvaris
(
- LLNL, Livermore
)

Mar 8, 2024

15 pages

Published in:

Phys.Rev.C 109 (2024) 6, 065501

Published: Jun 10, 2024

e-Print:

2403.05776 [nucl-th]

DOI:

10.1103/PhysRevC.109.065501 (publication)

View in:

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Abstract: (APS)

Muon capture on nuclei is one of the most promising probes of the nuclear electroweak current driving the yet-hypothetical neutrinoless double-beta (

0 ν β β

) decay. Both processes involve vector and axial-vector currents at finite momentum transfer,

q \approx 100

MeV, as well as the induced pseudoscalar and weak-magnetism currents. Comparing measured muon-capture rates with reliable ab initio nuclear-theory predictions could help us validate these currents. To this end, we compute partial muon-capture rates for

{}^{6}{Li}

,

{}^{12}C

, and

{}^{16}O

, feeding the ground and excited states in

{}^{6}{He}

,

{}^{12}B

, and

{}^{16}N

, using ab initio no-core shell model with two- and three-nucleon chiral interactions. We remove the spurious center-of-mass motion by introducing translationally invariant operators and approximate the effect of hadronic two-body currents by Fermi-gas model. We solve the bound-muon wave function from the Dirac wave equations in the Coulomb field created by a finite nucleus. We find that the computed rates to the low-lying states in the final nuclei are in good agreement with the measured counterparts. We highlight sensitivity of some of the transitions to the sub-leading three-nucleon interaction terms. We also compare summed rates to several tens of final states with the measured total capture rates and note that we slightly underestimate the total rate with this simple approach due to limited range of excitation energies.

Note:

15 pages, 11 figures, 5 tables; corresponds to the published version

muon: capture
excited state: energy
current: electroweak interaction
double-beta decay: (0neutrino)
effect: hadronic
nucleus: finite
axial-vector
chiral
Fermi gas
pseudoscalar

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Muon capture on Li6, C12, and O16 from ab initio nuclear theory

Citations per year

Muon capture on ${}^{6}{Li}$ , ${}^{12}C$ , and ${}^{16}O$ from ab initio nuclear theory