The effects of ground state correlations in 16O on the muonuclear sum rule

1982 ◽  
Vol 60 (3) ◽  
pp. 321-328 ◽  
Author(s):  
D. Duplain ◽  
B. Goulard
Keyword(s):  
Wave Function ◽  
Cluster Expansion ◽  
Ground State ◽  
Neutrino Energy ◽  
Tensor Component ◽  
Second Order ◽  
Muon Capture ◽  
Total Rate ◽  
Sum Rule ◽  
The Mean

The total rate of muon capture by 16O is calculated using the linked cluster expansion to introduce ground state correlations. All diagrams up to the second order in the number of hole-lines are included. [Formula: see text] is reduced by some 15% and is shown to behave like σ−1,. [Formula: see text] and [Formula: see text] are strongly increased by about 30%. This enhancement is related to that part of the defect wave function which arises directly from the tensor component of the N–N potential. It is suggested that, for those transitions that are induced by spin operators, the mean neutrino energy may be smaller than usually thought.

Muon capture rate in 16O and the ground-state wave function

1971 ◽  
Vol 34 (1) ◽  
pp. 5-6 ◽  
Author(s):  
P. Erkkilä ◽  
M. Saarela ◽  
A. Kallio
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Capture Rate ◽  
Ground State Wave Function ◽  
Muon Capture ◽  
State Wave

scholarly journals A NEW REALISTIC MANY-BODY APPROACH FOR THE DESCRIPTION OF HIGH-ENERGY SCATTERING PROCESSES OFF COMPLEX NUCLEI

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5325-5329
Author(s):  
M. ALVIOLI ◽  
C. CIOFI DEGLI ATTI ◽  
H. MORITA
Keyword(s):  
Wave Function ◽  
Momentum Distribution ◽  
Cluster Expansion ◽  
Ground State ◽  
Final State Interaction ◽  
High Energy ◽  
Many Body ◽  
Energy Scattering ◽  
High Energy Scattering ◽  
Complex Nuclei

A new linked cluster expansion for the calculation of ground state observables of many-body nuclei with realistic interactions has been developed, in order to single out the major contributions to the relevant quantities when Nucleon-Nucleon correlations are taken into account in the wave function. Using the V8′ potential the ground state energy, density and momentum distribution of complex nuclei have been calculated and found to be in good agreement with the results obtained within the Fermi Hyper Netted Chain, and Variational Monte Carlo approaches. Using the same cluster expansion, with wave function and correlations parameters fixed from the calculation of the ground-state observables, we have calculated various high energy scattering processes off complex nuclei. We made use of the Glauber multiple scattering theory, which can be readily included into the cluster expansion we have developed, to take into account final state interaction effects in the semi-inclusive reaction A(e,e′p)X, and calculated the distorted momentum distribution, which is a necessary ingredient to estimate the cross section.

scholarly journals Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Phan Thành Nam ◽  
Marcin Napiórkowski
Keyword(s):  
Density Matrix ◽  
Ground State ◽  
Mean Field ◽  
Interaction Strength ◽  
Bose Gas ◽  
Body Density ◽  
The Mean ◽  
The One ◽  
Mean Field Regime ◽  
Number Of Particles

AbstractWe consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov’s approximation of the ground state energy and the ground state.

scholarly journals Matrix product wave function of the ground state and elementary excitations in the spin- 12 chain

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Jintae Kim ◽  
Minsoo Kim ◽  
Pramod Padmanabhan ◽  
Jung Hoon Han ◽  
Hyun-Yong Lee
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Matrix Product ◽  
Elementary Excitations
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