Radiative pion capture in nuclei: a continuum shell-model approach

Abstract

The radiative pion capture process in nuclei is approached by using a continuum shell-model description of the nucleus, together with a phenomenological treatment of the two particle-two hole effects. It is found that these effects play an important role to reproduce the observed experimental photon energy distribution. This distribution as well as the integrated one depends significantly on the details of the mean field potential. This makes this process interesting to investigate the nuclear structure dynamics.Comment: 21 pages, LateX file + 5 figures, epsf.st

Erratum: Inclusive quasielastic charged-current neutrino-nucleus reactions [Phys. Rev. C 70, 055503 (2004)]

“…For low nuclear excitation energies (≤ 60), this approximation is not justified, because the imaginary part of the selfenergy of particle and hole states are comparable [39]. The inclusion of FSI effects would lead to a quenching of the QE peak of the bare ph calculation, and a spreading of the strength [1,28,29,48,49]. However FSI effects on integrated quantities are small.…”

Equivalence between local Fermi gas and shell models in inclusive muon capture from nuclei

“…Wherever possible we set the remaining parameters of the potential to values similar to the ones used in other studies like those of refs. [18,34,35]. In our calculation we use different sets of parameters, denoted WS1, WS2 and WS3, shown in 208 Pb.…”

“…The case of WS2 is the only one where the protons are more bound than the neutrons, hence the Ndensity is smaller than the P -density inside the nucleus, which is again an unrealistic situation because one expect the opposite in a closed shell nucleus such as 16 O. We should add that the 16 O nucleus is delicate in the sense that the experimental Q-value of 10.93 MeV is too large to be fitted by the WS parameters found in the literature [18,34]. In fact in the SM the Q-value is the differ- ence between the N 1d 5/2 and P 1p 1/2 energies (see table III).…”

“…With the charged current (44,45), the response functions (15)(16)(17)(18)(19) are computed in this model using the formalism of [1,34]. The final result can be written simply as…”

“…Therefore for some integrated inclusive observables, the results depend mainly on global quantities such as the correct energy balance or the nucleon distribution. An example is the inclusive pion capture model of [18,19]. It is also worth to mention the pioneering work of ref.…”