Cluster Model Wave Function and the r.m.s. Radius of ⁷Li

Abstract

The ground state wave function of 7Li, considered to be made of an alpha particle and a triton cluster configuration, including all the nucleon exchange terms arising out of the antisymmetrization of a two oscillator shell model wave function, is used in the calculation of the root mean square (r.m.s.) radius of 7Li with a view to determine the range of the parameters in the wave function.

The Charge Form Factor and the Quadrupole Moment of7Li

“…The r.m.s. radius of 'Li has been computed already [6] by varying the parameters a,, and z = ( q / a o ) within the ranges 0.3 < a,,< 1.0 and 0.1 < z < 1 .O, respectively. In Fig.…”

“…Using the system of coordinates given in ref. [ 6 ] , the polarised cluster model wave function we propose has the form:…”

“…The explicit analytical expression for the r.m.s. radius of 7Li, including all the nucleon exchange terms arising out of the antisymmetrization of a two oscillator shell model wave function, has been given in [6]. When we use the polarised cluster model wave function defined in eq.…”

“…( 7) reduces to the form Ro/Ao, with the expressions for R o and A. given by eqs. ( 20) and (IO) of [6] (after identifying a0 and a1 which occur here to be the same as 01 and d of [6]). When we use the modified polarised cluster model wave function, we get for the r.m.s.…”

“…Earlier, we constructed [6] a cluster model wave function for 7Li starting from a two-oscillator shell model assuming the nucleons belonging to the alpha and triton clusters to be in the 1s and lp shells, respectively. Such a standard cluster model wave function cannot reproduce the quadrupole moment.…”