1999
DOI: 10.1006/adnd.1998.0801
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WEAK INTERACTION RATES OF sd-SHELL NUCLEI IN STELLAR ENVIRONMENTS CALCULATED IN THE PROTON–NEUTRON QUASIPARTICLE RANDOM-PHASE APPROXIMATION

Abstract: Allowed weak interaction rates for sd -shell nuclei in stellar environment are calculated using a generalized form of proton-neutron quasiparticle RPA model with separable Gamow-Teller forces. Twelve different weak rates are calculated for each nucleus as a function of temperature and density. The stellar weak rates are calculated over a wide range of densities (10≤ ρYe (gcm −3 ) ≤ 10 11 ) and temperatures (10 7 ≤ T(K) ≤ 30 × 10 9 ). This project consists of calculation of weak rates for a total of 709 nuclei … Show more

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Cited by 108 publications
(70 citation statements)
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“…Similar physics include for example the choice of electron capture rates for iron-peak elements [15]. But we have also included the capture rate for isotopes not presented in [15] but shown in [16]. The nuclear network for hydrodynamics is also similar, where we use a 7-isotope network, compared to their 5-isotope network.…”
Section: Resultsmentioning
confidence: 99%
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“…Similar physics include for example the choice of electron capture rates for iron-peak elements [15]. But we have also included the capture rate for isotopes not presented in [15] but shown in [16]. The nuclear network for hydrodynamics is also similar, where we use a 7-isotope network, compared to their 5-isotope network.…”
Section: Resultsmentioning
confidence: 99%
“…We use the Helmholtz equation of states, which contains contributions from ideal electron gas of arbitrarily relativistic and degenerate levels, blackbody photon gas, ions with Coulomb interactions and positron-electron annihilation pairs [4]. To describe the nuclear reactions, we use a 7-isotope network coupled with the simulations, including 4 He, 12 C, 16 O, 20 Ne, 24 Mg, 28 Si and 56 Ni [5]. We use the turbulent deflagration model [6] with delayed detonation transition [7].…”
Section: Methodsmentioning
confidence: 99%
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“…For the detailed model formalism, we refer to Ref. [16]. The Hamiltonian of the pn-QRPA model is given by…”
Section: Model Description and Formalismmentioning
confidence: 99%
“…While the energy loss rate as well as the decrease of the electron fraction because of weak processes were extensively studied in the past (Fuller et al 1980(Fuller et al , 1982aOda et al 1994;Aufderheide et al 1994a,b;Caurier et al 1999;Langanke & Martínez-Pinedo 2000;Nabi & Klapdor-Kleingrothaus 1999;Seitenzahl et al 2009;Juodagalvis et al 2010, and references therein), relatively little is known about the combined energy spectrum of these neutrinos (Langanke et al 2001;Odrzywolek 2009). Typically, the spectrum is integrated in advance and the results are tabulated.…”
Section: Weak Nuclear Processesmentioning
confidence: 99%