The response of many-fermion system in the framework of spectral function and momentum distribution

Modarres, M.; Younesizadeh, Younes

doi:10.1016/j.nuclphysa.2007.03.002

Cited by 8 publications

(4 citation statements)

References 11 publications

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“…The spectral function which has been calculated in the IA displays this fact that the residual system has roughly lost only the kinetic energy of the struck particle (− k 2 2m ) from point of view of probe particle [11]. Finally our calculation still agrees with BFF [1] and MY [2] that minimal use of the IA leads to the definition of response function in terms of the spectral function, while according to the present work with further approximation (the PWIA) one can obtain the same results in terms of the one body momentum distribution.…”

Section: Discussionsupporting

confidence: 76%

“…in (27), the iteration equation (19) works correctly for the IA case which is valid if one ignores FSI interaction [1,2]. Now if we substitute (30) into (14) and apply (10), we will have:…”

Section: The Calculation Of the Ground State Energy And Wave Functionmentioning

confidence: 96%

“…To impose the first condition of the IA, the Hamiltonian of N -Fermion system is usually divided into three parts [1,2],…”

Section: The Calculation Of the Ground State Energy And Wave Functionmentioning

confidence: 99%

“…which has created the ambiguities regarding of the response function of many body systems [1,2]. P(k, ε) and n(k) are also related to each other through the following equation:…”

Section: The Calculation Of the Ground State Energy And Wave Functionmentioning

confidence: 99%

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The Implementation of Impulse Approximation in the Wave Function and the Response Function of Many-Fermion System

Modarres

Younesizadeh

2009

Int J Theor Phys

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In this work, we investigate the ambiguities proposed by Benhar et al. about different implementation of the impulse approximation (IA) for calculation of the response function of many-Fermion system. The many-Fermion wave-function of composite system is calculated in the framework of impulse approximation by considering the iteration equation of many-Fermion wave-function through the system Hamiltonian propagator, and it is shown that by imposing the plane wave approximation for the struck particle it is possible to remove these ambiguities (the plane wave impulse approximation (PWIA)). Finally it is concluded that in order to get relevant result, one should be careful to perform the IA on the many-Fermion wave function to calculate the response function of the system, since the system response is obviously very sensitive to this quantity.

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Section: Discussionsupporting

confidence: 76%

“…in (27), the iteration equation (19) works correctly for the IA case which is valid if one ignores FSI interaction [1,2]. Now if we substitute (30) into (14) and apply (10), we will have:…”

Section: The Calculation Of the Ground State Energy And Wave Functionmentioning

confidence: 96%

“…To impose the first condition of the IA, the Hamiltonian of N -Fermion system is usually divided into three parts [1,2],…”

Section: The Calculation Of the Ground State Energy And Wave Functionmentioning

confidence: 99%

“…which has created the ambiguities regarding of the response function of many body systems [1,2]. P(k, ε) and n(k) are also related to each other through the following equation:…”

Section: The Calculation Of the Ground State Energy And Wave Functionmentioning

confidence: 99%

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