Context : The standard solar model fails to predict the very low lithium abundance in the Sun , which is much lower than the proto-solar nebula ( as measured in meteorites ) .
This Li problem has been debated for decades , and it has been ascribed either to planet formation or to secular stellar depletion due to additional mixing below the convection zone , either during the pre-main sequence and thus possibly linked to planet formation or additionally on secular time-scales during the main sequence .
In order to test the evolution of Li , it is important to find solar twins in a range of ages , i.e. , stars with about a solar mass and metallicity but in different evolutionary stages .
Also , the study of stars similar to the Sun is relevant in relation to the signature of terrestrial planet formation around the Sun , and for anchoring photometric and spectroscopic stellar parameter scales .

Aims : We aim to identify and analyse solar twins using high quality spectra , in order to study Li depletion in the Sun and the possible relation between chemical abundance anomalies and planet formation .

Methods : We acquired high-resolution ( R \sim 110,000 ) , high S/N ( \sim 300 ) ESO/VLT UVES spectra of several solar twin candidates and the Sun ( as reflected from the asteroid Juno ) .
Among the solar twin candidates we identify HIP 114328 as a solar twin and perform a differential line-by-line abundance analysis of this star relative to the Sun .

Results : HIP 114328 has stellar parameters T _ { eff } = 5785 \pm 10 K , log g = 4.38 \pm 0.03 , [ Fe/H ] = -0.022 \pm 0.009 , and a microturbulent velocity 0.05 \pm 0.03 km s ^ { -1 } higher than solar .
The differential analysis shows that this star is chemically very similar to the Sun .
The refractory elements seem even slightly more depleted than in the Sun , meaning that HIP 114328 may be as likely to form terrestrial planets as the Sun .
HIP 114328 is about 2 Gyr older than the Sun , and is thus the second oldest solar twin analyzed at high precision .
It has a Li abundance of A ( Li ) _ { NLTE } \lesssim 0.46 , which is about 4 times lower than in the Sun ( A ( Li ) _ { NLTE } = 1.07 dex ) , but close to the oldest solar twin known , HIP 102152 .

Conclusions : Based on the lower abundances of refractory elements when compared to other solar twins , HIP 114328 seems an excellent candidate to host rocky planets .
The low Li abundance of this star is consistent with its old age and fits very well the emerging Li-age relation among solar twins of different ages .