Extended Brueckner-Hartree-Fock theory with pionic correlation in finite nuclei

Journal Article · Mon Aug 15 00:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2011.03.004· OSTI ID:21583311

Ogawa, Yoko ^[1]; Toki, Hiroshi ^[1]

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1. Research Center for Nuclear Physics (RCNP), Osaka University, Osaka 567-0047 (Japan)

Highlights: > We formulate a many-body theory with explicit treatment of tensor correlations. > The Hartree-Fock (HF) model space is extended to include 2-particle 2-hole states. > This extended HF equation has a structure of the Brueckner theory. > Single-particle states are obtained under the influence of the tensor correlation. > This framework is interpreted by the Feshbach projection method. - Abstract: We formulate a nuclear many-body theory with explicit treatment of the strong tensor correlation caused by the pion-exchange interaction. To do this, we have to extend the Hartree-Fock variational model space to include 2-particle 2-hole (2p-2h) states, which are able to handle the tensor correlation and to contain high momentum components originating from its pseudo-scalar nature of the pion. We take the variational principle of the total energy, and obtain equations of motion for the variational parameters as the Hartree-Fock single particle states and 2p-2h states. As for the short range repulsion, we use the unitary correlation operator method (UCOM) to express the short range correlation in the ground state wave function. We then arrive at an extended Hartree-Fock equation with the inclusion of the effect of the pion exchange and short range repulsive interactions. We find this extended Hartree-Fock equation has a structure of the Brueckner theory. Thus, we name the present theoretical framework as an extended Brueckner-Hartree-Fock (EBHF) theory. We compare the EBHF theory with the Feshbach projection method and the Brueckner-Hartree-Fock theory.

• OSTI ID: 21583311
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 8; Other Information: DOI: 10.1016/j.aop.2011.03.004; PII: S0003-4916(11)00043-1; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATIONS
EQUATIONS OF MOTION
EXCHANGE INTERACTIONS
GROUND STATES
HARTREE-FOCK METHOD
HYDROFLUORIC ACID
MANY-BODY PROBLEM
NUCLEI
PIONS
SCALARS
TENSORS
VARIATIONAL METHODS
WAVE FUNCTIONS
APPROXIMATIONS
BOSONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
FLUORINE COMPOUNDS
FUNCTIONS
HADRONS
HALOGEN COMPOUNDS
HYDROGEN COMPOUNDS
INORGANIC ACIDS
INORGANIC COMPOUNDS
INTERACTIONS
MESONS
PARTIAL DIFFERENTIAL EQUATIONS
PSEUDOSCALAR MESONS