Weak reactions on 12C within the continuum random phase approximation with partial occupancies

Kolbe, E.; Langanke, K.; Vogel, P.

doi:10.1016/s0375-9474(99)00152-9

Cited by 121 publications

(136 citation statements)

References 42 publications

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“…The disagreement is somewhat disturbing in light of the simplicity of the reaction and in view of the fact that parameter-free calculations, such as those in [19][20][21], describe well other weak processes governed by the same weak current nuclear matrix elements. Moreover, as shown in the following subsection, the exclusive reactions populating the ground state of the final nucleus, 12 C(ν e , e) 12 N gs and 12 C(ν µ , µ) 12 N gs , and the neutral current reaction 12 C(ν e , ν e ) 12 C(15.11 MeV) have been measured [16,17] as well, and agree well with theoretical expectations.…”

Section: Neutrino 12 C Interactionmentioning

confidence: 99%

Neutrino–nucleus reactions and nuclear structure

Kolbe

Langanke

Martı́nez-Pinedo³

et al. 2003

J. Phys. G: Nucl. Part. Phys.

219

323

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The methods used in the evaluation of the neutrino-nucleus cross section are reviewed. Results are shown for a variety of targets of practical importance. Many of the described reactions are accessible in future experiments with neutrino sources from the pion and muon decays at rest, which might be available at the neutron spallation facilities. Detailed comparison between the experimental and theoretical results would establish benchmarks needed for verification and/or parameter adjustment of the nuclear models. Having a reliable tool for such calculation is of great importance in a variety of applications, e.g. the neutrino oscillation studies, detection of supernova neutrinos, description of the neutrino transport in supernovae and description of the r-process nucleosynthesis.

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Section: Neutrino 12 C Interactionmentioning

confidence: 99%

Neutrino–nucleus reactions and nuclear structure

Kolbe

Langanke

Martı́nez-Pinedo³

et al. 2003

J. Phys. G: Nucl. Part. Phys.

219

323

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“…al [13]. Some of the recent works are: [14,15] in 12 C, [16,17] in pf -shell, and [18] in neutron stars and supernovae. Typically the calculated rate of weak interactions is larger than observed; for example, a factor of ∼ 0.6 brings the calculated pf -shell GT transition rates in agreement with experiment.…”

Section: Introductionmentioning

confidence: 99%

Quenching of weak interactions in nucleon matter

Cowell

Pandharipande

2003

Phys. Rev. C

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We have calculated the one-body Fermi and Gamow-Teller charge-current, and vector and axialvector neutral-current nuclear matrix elements in nucleon matter at densities of 0.08, 0.16 and 0.24 fm −3 and proton fractions ranging from 0.2 to 0.5. The correlated states for nucleon matter are obtained by operating on Fermi-gas states by a symmetrized product of pair correlation operators determined from variational calculations with the Argonne v18 and Urbana IX two-and threenucleon interactions. The squares of the charge current matrix elements are found to be quenched by 20 to 25 % by the short-range correlations in nucleon matter. Most of the quenching is due to spin-isospin correlations induced by the pion exchange interactions which change the isospins and spins of the nucleons. A large part of it can be related to the probability for a spin up proton quasi-particle to be a bare spin up/down proton/neutron. Within the interval considered the charge current matrix elements do not have significant dependence on the matter density, proton fraction and magnitudes of nucleon momenta; however, they do depend upon momentum transfer.The neutral current matrix elements have a significant dependence on the proton fraction. We also calculate the matrix elements of the nuclear Hamiltonian in the same correlated basis. These provide relatively mild effective interactions which give the variational energies in the HartreeFock approximation. The calculated two-nucleon effective interaction describes the spin-isospin susceptibilities of nuclear and neutron matter fairly accurately. However ≥ 3-body terms are necessary to reproduce the compressibility. Realistic calculations of weak interaction rates in nucleon matter can presumably be carried out using the effective operators and interactions studied here. All presented results use the simple 2-body cluster approximation to calculate the correlated basis matrix elements. This allows for a clear discussion of the physical effects in the effective operators and interactions.

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“…The GT sum rule limit SR GT [7] and several previous RPA-like calculations, namely: RPA [12], CRPA [17], and RQRPA within S 20 for two-quasiparticle cutoff E 2qp =100 MeV [9], PQRPA within S 2 , S 3 , and S 6 [7], as well as the shell model result [12], are also exhibited.…”

Section: Pos(xxxiv Bwnp)032mentioning

confidence: 51%

“…A few of them are exhibited in the left panel of Fig. 3, namely: a) SM and RPA [12], with g A = 0.88, and S 3 , b) CRPA [17], with g A = 1.26, and S 4 , c) RQRPA [9], with g A = 1.23, S 20 , and E 2qp =100 MeV, and d) PQRPA [7], with g A = 1.0, S 2 , S 3 , and S 6 . In spite of very significant differences in g A , and the s.p.…”

Section: Pos(xxxiv Bwnp)032mentioning

confidence: 99%

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Nuclear structure and neutrino-nucleus interaction

Krmpotie

2012

Proceedings of XXXIV Edition of the Brazilian Workshop on Nuclear Physics — PoS(XXXIV BWNP)

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After sketching briefly the formalism for neutrino-nucleus reactions, the following issues are addressed: 1) The consequences of number non-conservation in the Quasiparticle Random Phase Approximation (QRPA) and its inability to reproduce the exclusive weak observables within the triad { 12 B, 12 C, 12 N}, 2) The role played by the size of configuration spaces in the Projected QRPA (PQRPA), and the Relativistic QRPA (RQRPA), and 3) The limitations and difficulties of nuclear models in explaining the recently measured quasi-elastic unfolded cross section (ν µ , 12 C) at MiniBooNE within the energy range 0.4 ≤ E ν µ ≤ 1.2 GeV.

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Weak reactions on 12C within the continuum random phase approximation with partial occupancies

Cited by 121 publications

References 42 publications

Neutrino–nucleus reactions and nuclear structure

Neutrino–nucleus reactions and nuclear structure

Quenching of weak interactions in nucleon matter

Nuclear structure and neutrino-nucleus interaction

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