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تسجيل مستخدم جديدShell model calculations of stellar weak interaction rates: I. Gamow-Teller distributions and spectra of nuclei in the mass range A=45-65
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Electron capture and beta-decay rates on nuclei in the mass range A=45-65 play an important role in many astrophysical environments. The determination of these rates by large-scale shell model calculations is desirable, but it requires to reproduce the Gamow-Teller strength distributions and spectra of the pf shell nuclei. We show in this paper that large-scale shell model calculations, employing a slightly monopole-corrected version of the wellknown KB3 interaction, fulfill these necessary requirements. In particular, our calculations reproduce the experimentally available GT+ and GT- strength distributions and the nuclear halflives, and describe the nuclear spectra appropriately.
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Based on large-scale shell model calculations we have determined the electron capture, positron capture and beta-decay rates on more than 100 nuclei in the mass range A=45-65. The rates are given for densities rho Y_e =10^7-10^{10} mol/cm^3 and tempe
ratures T=10^9-10^{10} K and hence are relevant for both types of supernovae (Type Ia and Type II). The shell model electron capture rates are significantly smaller than currently assumed. For proton-to-baryon ratios Y_e=0.42-0.46 mol/g, the beta-decay rates are faster than the electron capture rates during the core collapse of a massive star.
A systematic shell model description of the experimental Gamow-Teller transition strength distributions in $^{42}$Ti, $^{46}$Cr, $^{50}$Fe and $^{54}$Ni is presented. These transitions have been recently measured via $beta$ decay of these $T_z$=-1 nu
clei, produced in fragmentation reactions at GSI and also with ($^3${He},$t$) charge-exchange (CE) reactions corresponding to $T_z = + 1$ to $T_z = 0$ carried out at RCNP-Osaka.The calculations are performed in the $pf$ model space, using the GXPF1a and KB3G effective interactions. Qualitative agreement is obtained for the individual transitions, while the calculated summed transition strengths closely reproduce the observed ones.
The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems goes beyond the traditional configuration interactions approach formu
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We perform a systematic study of Gamow-Teller (GT) transitions in the 2p1f shell, using the nuclear shell model with two schematic Hamiltonians. The use of the shell model provides flexibility to analyze the role of different proton-neutron pairing m
odes in the presence of nuclear deformation. The schematic Hamiltonians that are used contain a quadrupole-quadrupole interaction as well as isoscalar (T=0) and isovector (T=1) pairing interactions, but differ in the single particle energies. The objective of the work is to observe the behavior of GT transitions in different isoscalar and isovector pairing scenarios, together with the corresponding energy spectra and rotational properties of the parent and daughter nuclei (42Ca -> 42Sc, 44Ca -> 44Sc, 46Ti -> 46V, 48Ti -> 48V). We also treat the rotational properties of 44Ti and 48Cr. All results are compared with experimental data. The results obtained from our models depend on the different scenarios that arise, whether for N = Z or N neq Z nuclei. In the latter case, the presence of an attractive isoscalar pairing interaction imposes a 1+ ground state in odd-odd nuclei, contrary to observations for some of the nuclei considered, and it is necessary to suppress that pairing mode when considering such nuclei. The effect of varying the strength parameters for the two pairing modes is found to exhibit different but systematic effects on energy spectra and on GT transition properties.
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