QRPAQuasiparticle Random Phase Approximation
QRPAQuasi-Random-Phase Approximation (physics)
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The excited states with respect to the QRPA vacuum are created with the phonon creation operator
and [X.sup.[omega].sub.ab] and [Y.sup.[omega].sub.ab] are amplitudes describing the wave function that are solved from the QRPA equation
We perform the QRPA calculations using large model spaces consisting of the entire 0s-0d, 1p-0f-0g, 2s-1d-0h, and 1f-2p major shells, adding also the 0[i.sub.13/2] and 0[i.sub.11/2] orbitals.
The energies of the computed QRPA states are quite sensitive to these model parameters.
The QRPA process is known to produce states that are spurious, namely, the first excited [0.sup.+] state and the first [1.sup.-] state.
Odd-mass xenon isotopes [sup.129, 131]Xe are then computed by using the MQPM formalism, in which we use a combination of one- and three-quasiparticle states by coupling a quasiparticle with a QRPA phonon to form the three-quasiparticle configurations.
We select all QRPA phonons of J [less than or equal to] 6 with an energy less than 10 MeV to be used in the calculation.
The interacting boson model [44, 53] can be considered somehow halfway between the microscopic view of NSM and the collective ones of QRPA and GCM.
However, the inclusion of the missing correlations into the QRPA looks like a very difficult task (because of the several uncontrolled approximations of the method), while for the shell model, at least in principle, a systematic procedure for adding the effects of missing states exists.
The ultimate limitation of the QRPA method seems the perturbative approach which is implemented in a renormalized nuclear interaction and requires always some adjustment to the data.
Vogel, "Erratum to: Assessment of uncertainties in QRPA 0 v[beta][beta]-decay nuclear matrix elements," Nuclear Physics A, vol.
Suhonen, "Nuclear matrix elements for double beta decay in the QRPA approach: a critical review," Journal of Physics: Conference Series, vol.