Kinetic Energy Matrix Elements for Linear Molecules

1951 ◽  
Vol 19 (7) ◽  
pp. 982-983 ◽  
Author(s):  
Salvador M. Ferigle ◽  
Arnold G. Meister
Keyword(s):  
Kinetic Energy ◽  
Matrix Elements ◽  
Energy Matrix ◽  
Linear Molecules

scholarly journals Two-current correlations in the pion in the Nambu and Jona-Lasinio model

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
Aurore Courtoy ◽  
Santiago Noguera ◽  
Sergio Scopetta
Keyword(s):  
High Energy ◽  
Low Energy ◽  
Matrix Elements ◽  
Lattice Data ◽  
Energy Matrix ◽  
Parton Distributions ◽  
Factorization Approximation ◽  
Lattice Result ◽  
Villars Regularization ◽  
Current Correlations

AbstractWe present an analysis of two-current correlations for the pion in the Nambu–Jona-Lasinio model, with Pauli–Villars regularization. We provide explicit expressions in momentum space for two-current correlations corresponding to the zeroth component of the vector Dirac bilinear in the quark vertices, which has been evaluated on the lattice, thinking to applications in a high energy framework, as a step towards the calculation of pion double parton distributions. The numerical results show a remarkable qualitative agreement with recent lattice data. The factorization approximation into one-body currents is discussed based on previous evaluation of the relevant low energy matrix elements in the Nambu–Jona-Lasinio model, confirming the lattice result.

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